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Miatlwidan .‘EttJJC

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a I. ‘5‘1" ‘1‘.
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This is to certify that the

thesis entitled

SIMPLE EXCITATIONS OF DOUBLY CLOSED

SHELL NUCLEI
presented by

Richard Trilling

has been accepted towards fulfillment
of the requirements for

 

Ph.D. dggreein Physics

mmnmdawr
H . McManus

 

Date M

0-7639

a...
LIBRARY 3

'ABSTRACT
SIMPLE EXCITATIONS OF DOUBLY CLOSED SHELL NUCLEI
BY

Richard Trilling

The problem of describing low lying excitations in
doubly clOsed shell nuclei by simple one particle-one hole
excitations has long been of theoretical interest. Without
including either core correlation or core polarization contri—
butions in the matrix elements the agreement between eXperi-
ment and theory of previous calculations has been marginal.
The previous calculations have failed to produce enough
separation between the T=0, 1 states of N=Z nuclei and there-
fore have produced too much isospin mixing in these light
nuclei. Another failure of the previous calculations was
that the binding energy of the states (T=0, l) was too small.
The error in the binding of the T=O states (N=Z nuclei) was
much greater than the error in the binding of the T=l states.

The present calculation replaces the monopole term
of the multipole expansion of the interaction by a one
parameter isospin dependent spherical potential. The para-

meter is evaluated from the symmetry energy between Ca49

C49

and
S . The reason for the replacement is to take into account

the difference between the single particle energies of the

Richard Trilling

Ail mass nuclei used in the calculation and those of the
A mass system in which the excited particle moves.

Two different interactions, the Kallio-Kolltveit
and the Sussex, were used in two different approximations,
the TDA and the RPA. The results obtained with the two
different interactions are quite similar and aside from
the lowest 3- state the results obtained from the TDA
and the RPA were almost identical.

Using the monOpole shift the results for O16 are
.greatly improved. The T=O, 1 separation energies increase,
along with their binding energies, to where they are in
close agreement with experiment. The isospin mixing of
the new vectors is such that most of the calculated B(El)'s
are now in good agreement with experiment.

40 includes only the 3-,

The transition data for Ca
5- T=O levels. The monopole shift does not effect these
transitions but gives a net improvement of the position of
the levels arising from the three lowest multiplets. The
resultant placement of the levels is also in good agreement
with the deformed basis calculation of Ca40 by Gerace and
Greene. The giant dipole state is however about 1 MeV
too low when the shift is used.

In Ca48 and Sr88 only the T< states were calculated.
The monOpole shift leads to a definite improvement in the

level positions of both nuclei for both the negative parity

and the positive parity states.

Richard Trilling

In all nuclei the RPA over binds the lowest 3-
state; a reduction of the interaction strength to 65%,
in order to simulate screening, for all the nuclei leads
to a fair agreement between experiment and theory.

It should be noted that the calculations for Sr88

predict a strong low lying 5- state which up to now has

not been seen.

SIMPLE EXCITATIONS OF DOUBLY CLOSED SHELL NUCLEI

BY

Richard Trilling

A THESIS

Submitted to
Michigan State University
in partial fulfillment of the requirements
for the degree of

DOCTOR OF PHILOSOPHY

Department of Physics

1972

r , ~;' 3’5?

ACKNOWLEDGEMENTS

I would like to thank Professor Hugh McManus for
suggesting this problem and for his guidance and support
during the time this work was performed.

Thanks are also due to Dr. Richard Schaeffer for
his assistance in the final stages of this work and to
Dr. Fred Petrovich for his assistance many times during
the course of this work.

Mrs. Julie Perkins is also thanked for the typing

of this manuscript,

ii

TABLE OF CONTENTS

ACKNOWLEDGEMENTS . . . . . . . . . .

LIST OF

LIST OF

Chapter
I.
II.

III.

IV.

V.
VI.

VII.

TABLES . . . . . . . . . .

FIGURES . . . . . . . . . .

INTRODUCTION. . . . . . . . .

THE MONOPOLE SHIFT. . . . . . .
016.

3.1 General Discussion . . .
3.2 Discussion of States in 015 .
3.3 3’ States in O16 . . . . .
40

C o o o o ‘ o o o o o o o

4 1 General Discussion . .
4.2 Discussion of States of Ca40
4

SUMMARY AND CONCLUSIONS . . . . .

REFERENCES 0 O O I O O O O O O O 0

Appendix

A.

RPA PHASE CONVENTIONS AND TRANSITION
FORMULAS . . . . . . . . . .

MONOPOLE SHIFT . . . . . . . .
SINGLE PARTICLE IDENTIFICATION CODE .
ENERGY AND TRANSITION SUMMARY . . .

VECTOR AMPLITUDES . . . . . . .

iii

Page
.ii
iv

vi

10
10
14
26
41

41
42

61
73
84

88

91
94
100
102

161

LIST OF TABLES

EA-€A+l for N=Z Nuclei . . . . . . .
ISA-€A+l for N#Z Nuclei. Overall T equals
that of the g.s. TO' . . . . . . .
016 Single Particle Energies . . . . .
016. ISt, l—T=O vector components . . .

. 00
Sussex Matrix Elements for (lsl/2 Opl/Z)

State in 016 o o o o o o o o o o

1’, 2’ T=0 Splitting . . . . . . . .

Partial Summary of O16 for Explanation of
Maj. Comp. see Appendix C. . . . . .

l6 Centroid Energies, Energy Dispersions
and Sum Rules for Representative Configu-
rations of the K—K Interaction with the
MonOpole Shift (For Formulas See Appendix

A) . . . . . . . . . . . . .

Ca40 Single Particle Levels. . . . . .

0

Relative Strengths of the 3-, T=O States

in ca40 0 O O O O O O O O O O 0

Partial Summary of Ca40 for Explanation
of (Maj. Comp.) See Appendix C . . . .
Ca40 Centroid Energies, Energy Dispersions
and Sum Rules for Representative Configu—
ration of the KK Interaction with the
MonOpole Shift (For Formulas See Appendix

A) . . . . . . . . . . . . .

Ca48 Single Particle Levels. . . . . .

iv

Page

l4

16

20

29

32

35
45

49

54

56

61

Table

Page

Zero Point Energies of the 3 Low Lying

Multiplets in Ca48 . . . . . . . . 63
Partial Summary of Ca48 for EXplanation

of (Maj Comp. See Appendices C and D). . 68

48

Ca‘ Centroid Energies, Energy Dispersions
and Sum Rules for Representative T
Configurations of the K-K Interaction
with the MonOpole Shift (For Formulas

See Appendix A) . . . . . . . . . 69
Sr88 Single Particle Levels. . . . . . 75
Partial Summary of Sr88 for Explanation of

(Maj. Comp. See Appendices C and D) . . 79
Sr88 Centroid Energies, Energy Dispersions

and Sum Rules for Representative T<
Configurations of the K-K Interaction

_with MonOpole Shift (For Formulas See

Appendix A) . . . . . . . . . . 81

LIST OF FIGURES

Page
016 MonOpole Shifts . . . . . . . . 36
Ol6 K-K Energy Levels. . . . . . . . 37
Ol6 Sussex Energy Levels. . . . . . . 39
Ca40 (Of7/2-Odgiz) Multiplet . . . . . 57
Ca40 (1p3/2-0dgiz), (0f7/2—ISI}2)

Multiplets. . . . . . . . . . . 59
Ca48 MonOpole Shifts . . . . . . . . 70
Ca48 Energy Levels. . . . . . . . . 71
Sr88 Energy Levels. . . . . . . . . 82

vi

CHAPTER I

INTRODUCTION

There are several factors which motivated the
present series of calculations. A systematic study of

the doubly closed shell nuclei 016, Ca4o, Ca48, and Sr

88
would be useful in order to compare their various prOper-
ties, particularly the distribution of the multipole
strengths. All the above nuclei possess a low lying
collective 3- state which exhausts an appreciable part

of the octOpole transition strength. Another common
phenomena is the existence of low lying positive parity
states such as a 0+ which cannot be explained on a lp-lh
basis.

A common failure of previous lp-lh calculations
was that they failed to provide enough separation between
the T=O states and the T=l states in N=Z nuclei such as
016and Ca40. This leads to too large estimates of Coulomb
mixing. Very often also the T=0 levels were found to be
too high in energy. This has been avoided in the present
set of calculations by adding an empirical monOpole shift.

8 Additional data have also become available on

16

some of the higher lying T=l states in 0 through inelastic

electron scattering (8169) and also T=l states in Ca40

3 40

through the charge exchange reaction Ca40(He ,t)Sc (Sc7la).

88

There also exists new data on Sr through the two particle

88 (Ra70).

transfer reaction Sr86(t,p)Sr

The particle-hole matrix elements were calculated
for two different interactions, the Kallio-Kolltveit (K—K)
interaction and the Sussex interaction. The K-K interaction
has a hard core potential and an exponential radial depen—
dence (Ka64). It fits the nucleon-nucleon S—wave phase
shifts up to 300 Mev. The matrix elements are
evaluated by the Scott-Moszkowski separation method (M060):
i.e. a separation distance is chosen such that within that
distance the repulsion due to the hard core is cancelled
by the attraCtive part of the potential. This matrix element
is the first term in the expansion of the reaction matrix
acting in states of even angular momentum. The best
description of the reaction matrix is perhaps given by
M. Macfarlane (Ma69).

The Sussex interaction is derived from the experi-
mental nucleon-nucleon phase shifts by deducing matrix
elements of the nucleon-nucleon interaction in a harmonic
oscillator basis of the interparticle distance (Er68).

The particle-hole states were calculated within the
frame work of both the Tamm-Dancoff Approximation (TDA)

and the Random-Phase Approximation (RPA), (La64). The

TDA assumes that the ground state of the nucleus is a

particle-hole vacuum and that the excited states are
obtained by acting on the ground state with a particle-hole
creation Operator. The RPA does not assume that the ground
state is a particle-hole vacuum, but that it contains
correlations, i.e. the ground state has components of
Op-Oh, 2p-2h, 4p-4h, etc. There then are two ways of
creating excited states, by either creating or destroying

a particle—hole pair. There is a slight violation of the
Pauli principal in the RPA, i.e. denoting particle levels
by 'm' and hole levels by 'i', the particle-hole creation

. . + . .
Operatior is then bmi = ariai from which it follows

<O|b b+.]O>=1-<O|a.aT]O>-<O)a+a 10>
ml ll m

mi m

where |O> is the correlated ground state. If the number
of levels is large compared to the number of holes or
particles then <Olaiai+lo> and <Olagam|0> are approxi-

mately zero and then

+

<Olb . b .
m1 m1

|O>~l

which is the basic assumption of RPA and is called the
quasi-boson approximation. (For a description of the RPA

vectors and phases see Appendix A).

The basis states for the calculation were chosen
following the prescription by Ripka (Ra68). For an N=Z
nucleus there are two types of excitations T=0, 1. When
N¢Z four types of excitations are considered, proton-
proton hole, neutron—neutron hole, T=O and T=l.

The realistic forces used do not give a good account
of the centroids, so it is necessary to supplement these
interactions by a monOpole Shift discussed in Chapter II.

'Each suCceeding chapter discusses a single nucleus
and treats in detail the basic configurations of the low
lying states and the comparison with such experimental
information as is available. The energy level information
is summarized in level diagrams. Also a table at the end
of each chapter summarizes this information on the levels
and transition rates. Another table gives the calculated
sum rule strengths and widths for various multipole transi-
tions. A corresponding appendix D lists the energy levels
and transition rates for all the levels calculated for the
particular nucleus and in addition lists the principle
componant of the vector along with the transition rate
due to it alone. Appendix E gives a list of representa-
tive state vectors. Overall conclusions are presented
in Chapter VII.

The algebra and labeling for single particle

levels are summarized in Appendices A through C.

CHAPTER II

THE MONOPOLE SHIFT

In a particle-hole calculation the Hamiltonian

H=H0+V is diagonalized in the basis lph_l,J>. The

diagonal term

-1 -l J
<ph ,JlHlph ,J> = Ep—€h+vc+vph

h are the single particle energies obtained

from the Ail nuclei, where VC contains all the core contri-

where Sp, 6

butions and where VJ is the diagonal particle-hole matrix

ph
element.
The centroid of a given p-h multiplet is not at
€p-€n+VC but is shifted away from this value by the average

value of Vgh for a given p-h multiplet.

I"
(D
Q

II

0 Z J E
ph J(2J+l)Vph/J(2J+l)

1
(2p+1)(2h+1)

 

(2J+l)<ph,JlV]ph,J>
J

This is also equal to the monopole term in the

multipole expansion

i.e. <ph-l,JlV|ph-1,J> = i ugh(-l)p+h+KthW(phph;JK)
K

of the interaction. The centroid for a given p-h multiplet
is therefore located at e -s +V +do
p h c ph

An explanation for the presence of ugh is that since
the single particle levels from the A mass nucleus were not
used, the centroid for the p—h multiplet as determined by
the Ail mass nuclei single particle levels must be corrected.
This correction arises because the system does not contain
Ail particles and the single excited particle sees a core
of only A-l particles. The correction is prOvided by the
J independent part of the interaction, the monopole term.

The centrOid shift as determined by the interaction
does not provide good agreement between observation and
theory. An attempt will be made to correct this by removing
the monOpole term from the diagonal matrix element and by
substituting in its place another term. This procedure is
due to R. Schaeffer (8071).

It can be shown (Appendix 8.1) that the monOpole
term of a diagonal particle hole matrix element coupled
to a good J is equivalent to a Single particle matrix
element where the particle moves in a spherical potential;
i.e. a single particle energy term.

The monOpole term will therefore be replaced by

a term which takes into account this difference in Single

particle energies.

The spherical potential chosen to evaluate this
difference will contain both an iso-scalar part, V0, and
an iso-vector part, V1, both of which are assumed to be
Slowly varying functions of A.

The potential corresponding to A+l nucleus will be

written as

4 —>
V00?) + m Vl(r)t

+

p°TA
while for the A mass nucleus it is

4 + g
V0(r) + K»Vl(r)tp lA_l

The single particle contributions to the Single

particle energies from this potential are

e -e +£50.11: “T |A>

A” O A 1 p A-1
and

e ~e + 3 S <A+llt ~T |A>

A+1~ O A 1 p A

The corrections to the diagonal elements become

The values of S are for the various

6 -e -a0 -e
A A+l ph' A A+l

occuring cases, (Appendix B.2), are in the tables 2.1

and 2.2

 

 

 

TABLE 2.l.-—€A-€A+1 for N=Z Nuclei.
lpp-l> -€
l/A
-l
Inn > —€l/A
-l . _ _
Iph ,J,T-O> 3el/A
_l _
lph ,J,T—l> El/A
TABLE 2'2'--€A-€A+l for NfiZ Nuclei. Overall T equals that of
the g.s. To.
-1
lpp > -€l/A
-l
Inn > -€l/A
lph’l J°T=O> -36
I I l/A
[ph-l J°T=l> -S
’ ’ l/A

 

For N¢Z and where the T of the state equals TO+1

lph-1,J;T=l> (2To+l)/A

The value of 81 can be obtained from the symmetry

energy of a particle in the 2p3/2 orbital of Ca48

49 49

where A is the coulomb difference between Ca and Sc .

The value of el~20 MeV. This value will be used for all
nuclei.
It is somewhat doubtful whether or not the

monOpole shift should be used with the RPA due to the

multipartiCle-multihole nature of the RPA ground state.

CHAPTER II I

016

3.1 General_Discussion

 

From looking at the energy spectrum of O

16 (Fig.

2,3) the most immediate observations that can be made

are the following:

A.

The Sussex interaction produces levels

which are less bound then those levels which
result from the K—K interaction. This can best
be explained by looking at Fig. l where the
average centroid shifts are illustrated. For
the K-K interaction there is a shift downward
of approximately .6 MeV for the T=O levels
while the T=l levels are Shifted upwards
approximately 2.3 MeV. For the case of the
Sussex interaction there is virtually no down-
ward shift of the T=0 levels while the T=l
levels are shifted upwards about 2.3 MeV.

The netresult is that not only are the Sussex
interaction T=0 levels less bound then the T=0

levels from the K—K interaction but also the

10

ll

T=O, T=l separation is less with a Sussex
interaction then with a K-K interaction.
For a given interaction and shift configuration

the major effect of the RPA compared with the

_TDA is to lower the energy of the lowest 3_,

T=O state by approximately 1.5 to 3 MeV.

The effect of the RPA on the next highest

level namely the lowest 1-, T=O level is con-
siderably smaller and is only about .5 MeV.

On the other states the effect of the RPA

is even less. It is known (Bl69)(Sc7la) that
screening contributions should be added to the
interaction in the RPA; this is simulated by

a calculation where the strength of the K-K
interaction has been reduced to 65% of full
strength (Sc7la). The ugh term of the monOpole
Shift was also reduced by the same amount. The
main effect of this reduction of the strength
is to decrease the binding of the lowest 3-,
T=0 state. All the other states were much less
sensitive to the strength of the interaction.
The main effect of the monOpole Shift for a
given configuration is to separate the T=0

and T=l levels by shifting them both downwards,

(Fig. 1,2,3) but while the T=l levels are shifted

12

downward by about .8 MeV the T=O levels are
shifted downwards by approximately 3.4 MeV.
This tends to increase the isotOpic purity of
the vectors. Since the contribution of the T=l
.component to a B(MJ) is approximately 25 times
larger than the T=0 component one would eXpect
the change in isospin mixture to affect the
magnetic transitions which come from primarily
T=0 states. Similarly since B(El)=0 for a

T=O state, due to the center of mass correction
to the effective charge, one would also expect
the monOpole shift to affect the B(El)'s, for
the T=O states. The final placement of both
the T=O and T=l levels for both interactions is
approximately the same.

The low lying positive parity states of 016 cannot
be described as Simple lp-lh states. Brown and Green
(Br66) have calculated these states using a 2p-2h and
4p-4h deformed basis created by exciting particles out of
the core. The present calculations are therefore confined
to the negative parity states.

For the O16

calculations the oscillator energy,
'fiw=l3.3 MeV was chosen from electron scattering and corresponds
to an oscillator length, b=l.77 fm. The Sussex matrix elements

were linearly interpolated from the tables for b=1.7 and b=l.8.

13

Previous calculations using the RPA with 016 have
been done by V. Gillet and N. Vinh Mau (Gr64). They used
a fitted interaction with 4 parameters with a gaussian
radial dependence along with harmonic oscillator wave
functions. .A least squares fitting of the interaction
was done within the framework of the RPA. Their results
are quite similar to the present ones.

In the present calculations the single particle
energies used were obtained from the neighboring nuclei,
015, N15, F17, O17 and the particle-hole gap was derived
from binding energies obtained from mass tables (Wa65).
These can be seen in Table 3.1.

The single particle energies given are with

respect to the well edge of 016. This was done by evaluat-

ing

ep = 016-N15-p = -12.126

p1/2

en = Ole-OlS-n = —lS.668

p1/2

SE = F17-Ol6-p = -0.601
5/2

52 = 017—Ol6-n = —4.143
5/2

The single particle energies are then

14

16

TABLE 3.1.--O Single Particle Energies.

 

O O O i O

0s 0 d d
1/2 p3/2 p1/2 5/2 31/2 3/2

 

P -42.126 -18.454 -12.126 -0.601 -O.101 4.500

N -45.668. -21.828 ~15.668 -4.l43 -3.272 0.937

 

These energies compare quite closely to those used
by Gillet (Gi64).

It might be useful for the reader while reading
this section to refer to Table 3.5 at the end of this
section which briefly summarizes the findings for a number
of the levels discussed in this section. Table 3.5 is
organized in a manner such that the lower levels are
separated from the higher lying levels and the latter
are organized into complexes as found experimentally.

16

For a complete summary of the O calculation the

reader is refered to Appendix D.l, and Appendix E.l.

3.2 Discussion of States in O16

 

A 1-, T=0 state is seen at 7.12 MeV with reported

B(El)'s of 1.24xio’4e2f2 and 1.64x10’4e2f2 (Aj7l). A

spectroscopic factor of .41 is observed (B069) from the

1

reaction 5N(3He,d)l6O for this level which indicates a

fair amount of lp—lh structure. From the 15N(d,n)l6O

15

reaction an i=0 transfer was seen (Fu67, Mu70), this would

indicate that a large component of the 1-, T=O state is

lsl/Z-OPI}2’ Without using the monOpole shift the cal—

culated energy of this state is about 3.5 MeV too

high irrespective of the interaction used. Using the

monOpole shift the energy is brought to within 0.5 MeV

of the observed level. For the K-K interaction in the TDA

with the shift the calculated energy is 7.42 MeV and the

Sussex interaction gives an energy of 6.69 MeV. The

transition rates, B(El)'s for the various cases calculated

are all approximately 2x10.4 ezf2 (Appendix D.l).
Theoretically the only contribution to a B(El)

from a 1-, T=O comes from the isospin mixed T=l component

of the vector. This is because the T=0 component of the

vector has an effective charge e'=e(l-2§) arising from

the center of mass motion of the nucleus. The T=l admixture

arises from the difference in the neutron and proton single

particle energies. The major component of this 1- vector

is in fact a T=O, Isl/2-0p1}2 excitation with an amplitude

about .85. There is however a significant amount of mixing

among the T=O components. For the K—K interaction in the

TDA with shift the amplitudes are

16

TABLE 3.2.--Ol6. lSt,l_,T=0 vector components.

 

—1 -1 -1
0d5/2‘093/2 ls1/2'0P3/2 0d3/2'091/2

-.308 . .334 -.231

 

The results from the Sussex interaction are similar
to those of the K-K except the level energies are slightly
lower. The major component of the lowest 1-, T=O state
is lsl/2-0p1;2 with zero point energy 6.33 MeV so the K-K
interaction pushes the level further away from the zero
point energy than does the Sussex. This behavior is expected
since the K-K interaction is stronger than the Sussex.

The monOpole shift decreases the transition rate by increas-
ing the T=0, T=l splitting, i.e. for the K—K interaction

without the monOpole shift B(El) = 3.5xlO-4e2f2, with the

shift B(El) = 1.1x10-4e2f2. The monOpole Shift thus is
essential for the energy and improves the transition rate
for this lowest 1-, T=0 state.

The 1-, T=0 state seen at 9.60 MeV has a small
Spectroscopic factor of .017 for the N15(d,n)Ol6 reaction
and is probably a multiparticle-multihole state. It would

not then be described within the framework of this calcu-

lation.

17

The next reported 1-, T=O state (Aj71) is at 12.44
MeV with a spectroscOpic factor of .75 (B069) and a mixed '£|
transfer of 0,2 (Fu67, Mu70) is seen in the N15(d,n)016
reaction. This implies that the proton is either an
51/2 or (13/.2 coupled to a pl/2 hole or if correlations
exist in the core (and these are needed to eXplain the
6.05 MeV 0+ state) then the proton can be a d5/2 coupled to
- a p3/2 hole. Using TDA and the K-K interaction one must
'again use the monopole shift in order to obtain decent
results. Without the Shift the energy of the state is at
16.77 MeV and with the shift the energy of the state
decreases to 13.60 MeV.. The RPA results with either the
K—K or Sussex interaction are essentially identical for
this level and for all the other levels. Unless the RPA
is specifically discussed it can be assumed that it yields
the same results for a given interaction and shift con-
figuration. The major configuration for this 1-, T=0 level

is ls -o§§/2 which is consistant with the '1' transfer.

1/2
The monOpole shift increases the B(El) from 1.7x10-4e2f2

to 4.5x10-3e2f2, the experimental values (Aj7l) cited are

3.5xlO-3e2f2 and 6.5x10-3e2f2 so the monOpole shift again

seems to improve the transition rate. The increase in the
.. . ' . -1
tranSition rate arises from the change in the 151/2 Cpl/2,

T=l part of the vector. With the addition of the monopole

18

Shift this cOmponent increases from .051 to .350.
What has happened is that with the addition of the shift
the 1-T=0 at 16.77 MeV is moved down to 13.60 MeV where
it is mixed somewhat strongly with the 13.17 MeV T=l state.
The Sussex interaction starts off with this 1- T=0 state
higher (18.87 MeV) so after the shift has been added in,
the state only comes down to 15.03 MeV which is not as
close to the l“, T=l at 13.2 MeV as with the K-K interac-
tion. The B(El) after the shift is therefore smaller
(4.7xio'4e2f2) than with the K-K interaction.

A 2‘, T=O at 8.87 MeV is observed along with a
0-, T=0 at 10.95. The '2' transfer and spectrosc0pic factors

3,d)Ol6 reaction (B069) indicate that these

from the N15(He
levels have a large lp-lh component. The '1' transfer

and spectrosc0pic factor for the 2- state are £=2, S=.87
while for the 0- state they are i=0, S=1.77. The major
component would seem to be for the 2-, 0d5/2-0p1}2 since

it is lower in energy then the 0d3/2-p1}2 and for the 0-

it would be the lsl/z-Opi}2. The K-K interaction without
the shift has E(2-)=12.25 and E(O_)=12.93, with the shift
E(2-)=8.87 and E(0-)=9.78. The major component for the

2- is in fact 0d5/2-0p1}2. Again the monopole shift brings
the energy into much better agreement with eXperiment.

The experimentalB(M2)=5.44x10_3e2f4 for the 2— state. The

calculated B(M2)'s are too large without the shift,

19

-2
4.2x10 e2f4 and also too large with the Shift,

2.2x10-2e2f4. The change in the B(M2) is however in the
right direction. The reason for the decrease in the
B(M2) with the shift is that the Shift reduces the mixing
of the OdS/Z-Opi/Z, T=l amplitude of the state from .144
to .041. This mixture arises from the lst 2-, T=l level
near 13 MeV. When the T=l component is completely

eliminated the B(M2)=1.4x10_2e2f4.

Most of the contribution to the B(M2) is from the
T=l componant as it is in general for a B(MJ). For T=0 states
the magnetic moment contribution to the transition matrix
element is u +uu = .88 while for T=l states the contribution
is up-un=4.71. The ratio of the 2 parts of the B(MJ) are
approximately

BMJ(l)/BMJ(O)Z(4.7l)2/(.88)2=28.6

The Sussex interaction reverses the ordering of the
2-,0- states placing them at E(2-)=12.12 MeV and E(O-)=10.66
MeV without the shift while with the shift they are at
E(2')=7.96 MeV and E(0')=10.38 MeV. The B(M2)'s are
weaker as eXpected. The reason for the reversal is that
while the 0-, T=O diagonal matrix elements for the K-K
interaction are repulsive, they become attractive for the
Sussex interaction. The K—K interaction is restricted to
s-waves only. The major component of the 0-, T=0 state
is (lsl/Z-Op1}2)00. With the Sussex interaction restricted
to s-waves only;the above matrix element is also repulsive

but the p and d wave contributions make the matrix element

attractive.

20

 

' __ - _ 00
TABLE 3.3. Sussex Matrix Elements for (lsl/2 Cpl/2) state
in 016.
s-ane contribution 1.18
s,p-wave contribution -O.70
s,p,d-wave contribution -l.l7

 

A quartet of T=l states (0_,l-,2_,3_) is seen at
13 MeV. For both interactions without using the monopole
shift the quartet comes slightly high in energy. With
the monOpole shift the energy of the quartet is lowered
slightly and is in better agreement with experiment. The
T=0,1 splitting is also improved. The T=l quartet comes

from two different particle—hole configurations.

- - -1
2’ 3’ - 0d —0 '1
' ° 5/2 p1/2

There is virtually no I-spin mixing in any of the
T=l states except for the 0- which has a significant

ls -0p1}2, T=0 amplitude for the K-K interaction. The

1/2

shift decreases the I-spin mixing of T=0 component of
this amplitude for the K-K interaction from .4 to .1.
The l-, T=l member of the quartet is mainly

ls -0p;}2 and has its admixture with the T=0 component

1/2

increased when the monOpole shift is used. Without the

21

shift the lsl/Z-Opgiz, T=0 amplitude is .08 and with the

shift the amplitude becomes .33. What happens is that the
1-, T=l level is mixing with a higher 1-T=0 level which has
been brought down by the shift to 13.60 MeV from 16.77 MeV.
(Experimentally the level is seen at 12.44 MeV). The

B(El) for the 1-, T=l has been measured (Aj71) as both

.021e2f2 and .013e2f2. The calculated value of the B(El)

from the K-K interaction is .032e2f2 without the shift

and with the shift B(E1)=.027e2f2 so the T=0 admixture

is necessary to decrease the B(El) and move it towards the
experimental value. This can be checked by turning off

the Coulomb mixing so the state becomes pure T=l and

then the B(El)=.032e2f2. The single configuration has a

_ 2 2 ' _ -l _
B(El)-.083e f so the OdS/Z 0p3/2 T—l component of the

vector is contributing incoherently.

The 2-, T=l part of the quartet at 12.97 MeV has

reported B(M2)'s of .24e2f2 and .26e2f4 (Aj7l). The

calculated B(M2)'s for the K-K interaction are too large

and the shift increases the value from .36 ezf4 to .38 e2f4:

this is reduced from the single particle value of 1.26 e2f4.
What appears to happen as the T=0 admixture of the state
decreases, the B(M2) increases. ,With the K-K interaction

and the RPA with no Shift the B(M2)=.30 e3f4 which is slightly
less then the TDA value, the reason being that the X and Y
amplitudes for the major component, Ods/z-OpS}2 subtract

and the B(M2) is sensitive to the T=l components. The

22

B(M2) for the Sussex interaction is larger, approximately

2 4

05-06 f . . - -1 =
e as the interferring OdS/Z Cpl/2, T 1 component has

been reduced by 50%.
. Bernstein (Be7l) reports seeing two strong

isospin admixed levels at 17.63 MeV and 18.10 MeV. Calcula—
tions for the K-K interaction without the shift yield a
1', T=0 state at 17.99 MeV which is very strongly admixed
with a l—, T=l level at 18.18 MeV. With the use of the
monopole shift both levels become isotopically pure, the
1‘, T=0 at 17.99 MeV goes to 15.13 MeV while the 18.18 MeV
state becomes an almost pure T=l state at 17.16 MeV. The
net result is that no strongly admixed isospin states are
predicted near 18 MeV.

In nuclei with T=0 ground states the T=l states
can be preferentially excited by e,e' at large scattering
angles and high momentum transfer. The 016(e,e')0l6
eXperiment has been performed (Si69) and a number of T=l
complexes have been seen. The complex around 13.5 MeV has
already been discusSed. Another complex is seen at 17 MeV.

An unresolved T=l doublet is seen at 17.20 MeV
(St70), one component of which is a 1‘. Another level
which has been given a tentative assignment as a 2- is
seen at 17.60 MeV. Calculation yields for the KK-TDA with
the monopole shift a l_, T=l at 17.16 MeV and a 2-, T=l

at 17.03 MeV. Without using the shift the energies are

23

l—(19.18), 2-(17.99), about one MeV too high. The Sussex
interaction yields energies for these two states which are
too high, even with the monopole shift, namely l-(l7.84),
2-(l6.88).

I. Sick, gE_al. (Si69) used a Serber-Yukawa
interaction to calculate the T=l complexes and obtained

energies almost 1.5 MeV too high. The experimental B(El)

for the 17.20 MeV 1-, T=l level is .0122 e2f2. The calculated

value from the KK-TDA with monopole shift is .023 ezfz. The

-Op-l (amp
3/2 1/2 '

by itself would give a B(El)=.41 e2f2, i.e. 20 times larger.

major component of the vector is 0d 90) which

The B(El) is reduced because the state has sizable cOmponents
which add incoherently to the main component.

For the 2—, T=l state corresponding to the state at
17.03 MeV the experimental B(M2)=.051 e2f4. The B(M2)=.054 ezf4
for the KK-TDA with the monopole shift is approximately
twice the single configuration value of .02 e2f4. The T=0
part of the B(M2) is adding coherently, since for a pure

, 9 ,
T=l vector the B(M2) = .048 ““14.

Other T=l states with KK-TDA and monOpole shift fall
(into three groups, 18 MeV, 20 MeV and 22 MeV-26 MeV. The

18 MeV Complex contains 3 levels, a 2-(18.64), a 4-(18.77)

and a 3-(17.89). Stroetzel (St70) reports seeing a 2- at

18.5 MeV via (e,e') but he does not report any parity or decay

assignments. The calculated B(M2) = .086 e2f4 for the state

compared with the single configuration B(M2) = .61 e2f4.

24

. —l i -1
T _ -
he two major components OdS/Z 0p3/2 (.662) and 151/2 Op3/2

(-.696) of the State have Opposite signs for the amplitudes
and they contribute incoherently to the transition rate.
The strength which is lost goes into the 2-, T=l (20.13)
where the 2 major amplitudes have the same Sign.

Nobody has reported Seeing a 3_, T=l state near
18 MeV or a 4-, T=l state around 18.5 MeV. The 4-, T=l
state has the largest transition strength in that neighbor-
hood, B(M4) = 830 e2f8 with the monOpole shift. There is
however a tentative assignment of a (l-,S-) to a state at

2

18.6 MeV, obtained from c12 (0,0')Cl (Ca64).

The 2’(20.13)T=i (Si69) carries most of the 2',
T=l transition strength, B(M2) = 2.24 ezf4 which is twice
the single configuration value and 1.5-2 orders of magnitude
greater than any of the other B(M2)'s. In this case it is
interesting to note that the KK-RPA value is smaller,
B(M2) = 1.99 e2f4, because the X and Y components of the
wavefunction subtract in calculating the transition rate.
This is the magnetic quadrupole state seen at 20.32 MeV
by (e,e') with an experimental B(M2) = 1.04 e2f4. The
state is quite collective as seen by looking at the
amplitudes (Appendix E.l). Without the monOpole shift
the calculated energy 2-, T=l is 20.94 MeV about .5 MeV

too high.

25

The 1_ state from the 20 MeV complex calculated
from the KK-TDA with the monopole shift is at 19.55 MeV.
A 1- state is seen at 19.5 MeV with a B(El) = 5.2x10-3 e2f2.
The shift in this case brings the energy down from 20.21 MeV
2 2 2

e

to 19.55 MeV but also decreases the B(El) from 1.5x10_ f

to 8.3x10m3 e2f2, so the B(El) agrees much better with
experiment.

The 22-26 MeV complex contain a number of 1. states,
they are seen at 22.80 MeV and 22.5 MeV (Aj7l). The KK—TDA
with shift yields states at 22.62 MeV, B(El) = 1.12 e2f2,
which is probably the giant dipole state, and a state
at 25.46 MeV, B(El) = .31 ezf2 whose transition strength
is about 1/3 the giant dipole strength. The 22.26 MeV
does not have a B(El) reported, however from (Da65) the
photo nuclear cross section has a large peak between 22
and 22.5 MeV. At about 24.5 MeV the photo nuclear cross
section shows another peak about 1/2 the height of the
22.2 MeV peak. This would probably correspond to the 25.46 MeV
calculated level.

A 2-,‘T=1 state at 23.7 MeV has been tentatively
identified. This could correspond to the state at 23.14
calculated with the K-K interaction using the monOpole
Shift. The calculation also yields the following other
T=l states a 3_ (24.19, B(E3) = 45 e2f6), and a 0- (26.25).

None of these states has of yet been identified, however

there are lots of unidentified states in the region.

26

3.3 3’ States in O16

The first negative parity state inOl6 is a 3- T=0
observed at 6.13 MeV with reported B(E3)'s to the ground
state of 188, 214, 209 e2f6 (Aj7l). Calculation with the
bare K-K interaction yields an energy for the state of
8.46 MeV and a B(E3) of 71.3 e2f6. The monOpole shift
while decreasing the energy of the state to 5.08 MeV has
very little effect on the B(E3), decreasing it to 69.7 e2f6.
The state vector for the bare KeK interaction without the
shift is mainly OdS/Z—Oplfiz’ T=O (amp. = .92) but contains
other significant T=0 components, OdS/Z-OpS}2 (amp. = .30)
and 0d3/2-0p3}2 (amp. = -.26). The largest T=l component
is the Dds/Ztopiiz (amp. = .028) which arises from Coulomb
mixing. Including the monopole Shift in the calculation
decrease the T=0, l mixing, because of the increased
separation of T=0 and T=l levels. The Od5/2-0p1}2' T=l
amplitude then becomes .019. Since the B(E3) has been
decreased slightly, the T=l part of the vector seems to
contribute constructively to the transition rate. To
verify this a further calculation was done with the K-K
interaction with the Coulomb mixing turned off such that there
could be no T=0, 1 mixing. Another slight decrease was
then observed in the B(E3) down to 67.9 e2f6. The results

obtained with the bare Sussex interaction are similar

to those with the K-K. Since it is a weaker interaction

27

then the K—K interaction, the energy of the lowest 3-, T=0
state of the Sussex interaction (9.59 MeV) is displaced

less from the centroid energy at 11.5 MeV and is therefore
found higher in energy than the 3', T=0 (8.46 MeV) calculated
from the K—K interaction.

2 6

The B(E3) is also slightly larger, 72.8 e f and is

accompanied by aslightly larger admixture of the T=l
component of the vector, 0d5/2-0p1}2 (.036). The relative
strengths of the weaker T=0 components have switched as
compared to the K-K interaction, Dds/2-0p3}2 (amp. = .26)
and 0d3/2-0p;}2 (amp. = -.31). Adding the monOpole shift

to the Sussex interaction lowers the energy of the 3‘, T=0
state to 5.34 MeV and the B(E3) is decreased to 69.5 e2f6.
As before with the K—K interaction the T=l part of the vector
has decreased. The net effect of the shift for both inter-
actions is to bring the 3- level into better agreement with
experiment. However, the effect of the shift on the transi-

tion rate is negligible. Looking at other 3—, T=0 levels

‘ in the TDA one observes that all the transition strength

is in the lowest 3-, T=0 state. The ratios of the transition
strength to the single particle transition strengths for

the 3-, T=0 states are

28

R = 2.25, R = .68, R3 = .32

One expects the RPA to have a large effect on the lowest 3-
T=0 state. For the K—K interaction the energy of the state

is lowered to 7.05 MeV (8.46 for TDA) and the B(E3) = 147 e2f6.
The large increase in the B(E3) is due to the large Y
components of the vector which add coherently to the X
components. It should be pointed out that since normaliza-
tion requires X2 - Y2 = 1, large Y's imply large X's.
Results with the Sussex interaction are similar except

that the 3-, T=O is at 8.80 MeV and the B(E3) = 117 e2f6.
The RPA moves both the transitions and the energies in the
correct direction. In the case of the K-K interaction

Ithe RPA already over binds the lowest 3-, T=0 state without
' increasing the B(E3) enough. Similiar effects are observed
for Ca40. This point will be discussed further in the

next section. Using the monopole shift in RPA, the 3- T=0
is extremely over bound for both interactions, the K—K
interaction places it at 2.12 MeV while the Sussex inter—
action places it 3.86 MeV. This is accompanied by a large

increase in the transition rate, 367 ezf6 for the K-K and

2 6

180 e f for the Sussex interaction. The large increase

for the K—K interaction is due to the large diagonal matrix

29

elements in the B matrix, approximately 2 MeV coupled with

the large reduction of the diagonal elements in the A-matrix,
approximately 3 MeV. This results in producing Y components
in the vector of the order of .6 which in turn leads to

large X components of the order of 1. Since the Sussex
interaction is weaker the results are similar but smaller.
Second order diagrams, such as core polarization have not

been used and since the major effect of these diagrams is

to screen the interaction, one should not be surprised at the
over binding. To simulate the screening the overall strengths
of the interaction were reduced to 65% along with the potential

contribution, do to the monOpole shift. This reduced the

ph’
binding of the 3-, T=O to 5.68 MeV and decreased the B(E3)
to 104 e2f6. Aside from charging the position of the 3-,
T=0 state the interaction reduction decreased the 1-, T=0

and 2-, T=0 splitting such that it was too small (Table 3.4).

TABLE 3.4.--l-, 2’ T=0 Splitting.

 

 

K-K-TDA K-K-TDA KK(65)-RPA
exp. MS MS MS
2’ 8.87 8.87 8.82 8.48
l” 7.12 7.42 7.11 7.98

dif 1.75 1.45 1.71 .51

 

30

Within the RPA it is found that in order to
reproduce correctly the energy of the 3-, T=0 state the
transition rate becomes too small and in order to obtain
the correct transition rate for the state the energy
becomes too small. Similar problems have been found in

40
a

C (B169).

The 3-, T=0 state is extremely sensitive to the
shift and it is perhaps not a good idea to use this state
as a criteria for the validity of the monopole shift.

Another approach to the 016 problem that avoids

the use of the monOpole shift is to use a C12 core and

consider 4-particle excitations where the single particle

levels are obtained from C13. Such a calculation was done

by Zuker, et al. (Zu68). The particle levels outside the

C12 core were limited to Cpl/2, OdS/Z’ 151/2. With such a

model space the positive parity levels can also easily be
calculated. For the low-lying states (i.e. up to 8 MeV)

Zuker §E_ai. obtained very good agreement with experiment
and quite reasonable agreement with experiment up through

. . . 15
the low—lying T=l quartet. The binding energies of O ,

017 also came out quite well.

In summary the present calculation with "realistic"
interactions and a monOpole shift gives results for the
O16 p-h Spectrum which are quite comparable to calculations
like that of Gillet where the force is treated as a para-

meter. There is a correspondingly good identification with

31

many of the experimentally observed states. There are

some significant differences from previous calculations,
particularly in the estimates of isospin mixing, which is
in general less in the present calculation and more in
agreement with experiment as measured by transition rates.
The position of the giant electric dipole (22-25 MeV) and
magnetic quadrupole (~20 MeV) excitations is given quite
well, i.e. from Table 3.6 E(i',T=l) = 22.93 MeV and
E(2-,T=l) = 19.79 MeV but their strength is overestimated
by 50-100%, a feature common to all p-h excitation calcula-

tions.

0N NH

 

Am.~\ev om.me 1m.~\ev em.ee ma.me o.-m
see. are.
Am.m\oe em.me 1m.m\ee me.oe «mo. mm.~a o.-~
meoo. oaooo. mmoo.
Am.m\me oo.ma Am.m\mv ee.oa eeoo. ee.ma o.-a
me.ee o.-m
ee.ea o.-m
% mwmum OHOEHDHOE mloaxvm.H
noeoannoeaeass sEchoes muoexmm.m oo.a o.-a
«mo. Nee.
Am.m\ev ee.m Am.m\ee mm.~a emoo. em.m o.-m
euoexma.a enoexae.m auoexae.a
Am.m\me Ha.e 1m.m\mv mo.oa enoexeN.H me.e o.-a
a.ao an
Am.m\ev mo.m Im.m\evoe.m mma ma.o o.-m
em on
mxumaom A.QE00 .wmevm A.QEOO .mmavm Anxmvbm mxm
mz-ss as

 

.0 xflpsmmm< 00m .QEOU .mmz mo coflumcwamxm.H0m mac m0 mumEESm aneuummul.m.m mammfi

33

 

 

 

 

mbcmasmflmmm omo. mHo.
mmoop Ho wuflumm 0: Am.m\mv em.mH Am.m\mv mm.mH om.mH H.AIHVN
mm em
coon nos Am.m\ev am.ea Am.N\ec me.me H.-m
.0.0 Eoum mam>mq .mflou >02 ma
emo. mmo.
Am.m\ov mo.ea im.m\ov aa.ea Hmo. oe.aa H.A-mv
Ia pawsomEoo 0:0 mmo. oao.
emansoo oo>aomoncs Am.m\ov eH.eH Am.m\ov we.ea Nee. o~.ee H.-H
.0.m Eoum ma0>0q .mEoo >02 5H
me me
1m.m\av Hm.~a Am.m\ev mm.me o~.me a.-m
emo. mmo. Hmo.
Am.m\mv ee.ma im.m\mv mm.ma mac. ao.me H.-H
mm. em. am.
e o >62 one on coon omen Am.m\ec Hm.me Im.m\ev e~.ma om. sm.me H.«~
Am.m\mv eo.me 1m.m\mv mm.ma om.~H H.-o
.Heeoo >62 me
we _
mmeEOm A.QEOO .mmEvm A.Eoo .mmavm_ Amxmvbm dxm

wZIMM

 

.UOSSHDCOUII.m.m mqméB

34

 

 

 

 

2666.6o2 Am.~\ov m~.e~ Am.m\ov oH.e~ H.no

Hm. om.
2m.~\ov oe.m~ Am.m\ov em.om m.m~ H.-H

me me
2666 con 2m.m\ov ae.e~ 2m.~\oe He.m~ H.1m

He. no.
Am.~\oe ee.m~ Am.~\ov eo.em e.m~22.ume

. «2.2 22.2
6Hooao nonao 2m.~\ae ~e.- 1m.~\ev em.m~ m.- H.-H
.msoo >62 emnmm

maomsupmsv «N.N oN.N
oae6coce ncceo Am.~\ev me.om Am.m\ev ea.om eo.e mm.om H.-~

moo. mac.
Am.m\me mm.oe Am.m\mv 2m.o~ mmoo. om.ae H.-e
.QEOO >02 on

one . mom
6666 nos Am.~\ac me.ma Am.~\ev He.aa 1e

mmeEmm A.mEoo .flmevm A.maoo .mmavm Amxmvwm mxm

mZIMM

 

.Umscflacooll.m.m mam<9

35

TABLE 3.6.--Ol6 Centroid Energies, Energy Dispersions and Sum

Rules for Representative Configurations of the K-K Interaction
with the MonOpole Shift (For Formulas See Appendix A).

 

1‘,T=1 2',T=1 3'T=0 3'T=o 3'T=l 4'T=1 2+T=0 2+T=l

. 65RPA

 

f5 22.93 19.79 8.29 9.03 19.95 18.77 35.34 45.52
232 1.92 2.95 4.99 4.87 4.73 0.0 3.58 2.50
s; 34 69 840 1431 1765 15581 118 112

 

Observed 1-, T=l
E s 23.5

S~15

36

 

 

O" - TDA

 

 

 

 

 

 

 

 

 

’I’ “\\ T = I
T= 0,! ,’
\\\
K. K. \\
\L_ T = O
CENTROID SHIFT
l” \\ ~~ T=l
T= 0.: 1:---
SUSSEX ‘\
T = 0

 

 

FIGURE l.--Ol6 MonOpole Shifts.

 

FIGURE 2.--O

(31 U 0 [1'1

'71

16

37

K-K Energy Levels.
exp.

KK-TDA

KK-MSTDA

KK-RPA

KK-RPA Shift

KK-RPA Shift 65%

 

 

38

 

2-

 

 

 

 

 

.. .
I. _ .
3 O 23
.o
.. .. . .
.. .. O 2 P
.. .. .
: .. 3
u :
:.
.. ..
. -. .
1.03 “(3
.. .. mu _
.. _.
2
.u .. .I
n. ..
2 = .
u" = 3
=
. . . .
25 O 2
. .
A n
. .
.. 3
._
.-
.-
= U
. _ .
3:0 r? AHV
: .. Mu _
: .. 2
= .. ._l
_. _. ..o
: ..
.. _.
2 =
. . _ .
23 O 2
: ..u
= .
.. 3
=
=
=
.-
=
—
. ...I. . . . _
33 20 2.... _ _ _ _ O
. . . m 3 3 O . .
. . . 2 .
. . _ . 1... . . .
. . . _ 30 II
. . . . .-
p - . _ _-

0+

0+

0+

0+

0+

0+

 

FIGURE 3.--Ol6

A:

39

Sussex Energy Levels.
exp.

Sussex-TDA
Sussex-Shift TDA
Sussex RPA

Sussex MS - RPA

40

 

 

 

 

 

o.

 

 

2 3.102 2.... 2 0:
. .. __
.
—_u : J
__ __
__ _-
: __
2.50
:2 II.
I:
I: -
I:
2 3 I_M2 u"
_ :
I e .6. H
__ __ O
.212 I
.
.2. G
I: _ _ L
I: _
. .
2366662.: 6.... 6 s ..,. I we .I O
z: .. ...
I
"m: T T A
.
. _ : 1 2
5 4 B 0.. H mw 9 8 7 6 5 4 3

 

CHAPTER IV

Ca40

4.1. Ca40 General Discussion

 

A number of studies have been made of Ca4o. Gillet

and Sanderson (Ge67) calculated the odd parity spectrum of
(Ca40 within the framework of a lp-lh model. They used a
parameterized interaction fitted to the lowest 3-, T=0 and
5-, T=O levels. ’Correlations in the ground state were taken
into account through the RPA which yielded a ground state
wavefunction whose Op-Oh amplitude was only .6 or about

36% pure shell model. They also found the lowest 3-, T=0
state to be extremely sensitive to the interaction. This
sensitivity for the lowest 3- state has also been observed
in 016, Ca48, Sr88 and Pb208. Gillet also reported strong
T=0, l admixtures for the higher octopole states. This
admixture is contrary to results found by Erskine (Er66) in

3 40

the K39(He ,d)Ca reaction. In this reaction Erskine

identified the major components of the configurations
'-l -l -l

7/2‘0d3/2)T=0' ‘0f7/2'0d3/2)T=1 and (193/2‘0d3/2)T=0

through a DWBA analysis of the '2' transfer. T. Kuo (Ku7l)

(0f

recently did a Ca40(p,p')Ca4O experiment and confirmed

some of Erskine's tentative level assignments and in

41

42

addition deduced a number of transition rates. Both

3,d) and (p,p') reactions excite both T=0 and

T=l states in Ca4o. In order to locate the T=l states

the~(He

by themselves one could use a charge transfer reaction

0 40

Ca40(He3,t)Sc4 to excite the T=l states of Sc . This

experiment does not seem to have been done.

_ _ -l .
The T-l states from the (0f7/2 0d3/2) multiplet

in Ca40 are the isobaric analog of the Sc40 states. The

energy of the analog states can be obtained frOm the

average Coulomb shift. The energy differences Sc4O-Ca4o

and K4o-Ca4o

are mainly due to the difference in the
Coulomb energies of the nuclei. A slightly more accurate
description would also include the proton-neutron mass

difference. The average Coulomb shift is

 

_ (Sc4O-Ca40)+(K40-Ca4o) _
V - — 7.8
c _ 2
The first T=l state seen in Ca40 is the 4- at 7.69
MeV which is the analog of the 4- ground state of K40 or
$040.

4.2. Discussion of States in Ca40

In order to simplify the discussion, each of the
previous three multiplets will be discussed separately.
The reader is urged to make use of Table 4.3 found at the

end of this section which is organized by multiplet. A

43

complete summary of the calculation will be found in

Appendices D.2 and E.2.
Thereexists a large number of low-lying states

of both parities in Ca40

which can not be explained from
a-simple 1p—lh Shell model calculation. The low-lying
positive parity states have been explained microscopically
as multiparticle-multihole states calculated on a deformed
basis.l Gerace and Green (Ge67) constructed these deformed
states from 2p-2h states and 4p-4h states where they placed
the 4p¥4h states below the 2p-2h states. They found the

0+ vectors to be

.90]0p-oh>+.41|2p-2h>+.ll|4p-4h>

|0+l(0.oo)>

|o+2(3.55)> .2o|0p-0h>-.18|2p—2h>—.96|4p-4h>

i.e. the ground state is mainly 0p-0h but contains 16%
2p42h while the second 0+ is mainly 4p-4h.

Four 3- states are observed between the ground state
and the first T=l state at 7.69 MeV, three of these 3-
states are below 7 MeV. The low-lying lp-lh configurations
are (0f7/2-0dgiz), (1p3/2-0dgiz), (0f7/2-lsi}2), the latter
two being almost degenerate, all of which have their
centroid energies above 7 MeV. Using realistic interactions
and the particle-hole gap of 7.2 MeV obtained from the mass
table it is difficult to position more than one of the 3-
states arising from those configurations below 7 MeV. The

monopole Shift however places two levels below 7 MeV. Gerace

44

and Green (Ge68) described the negative parity states by
'coupling shell model states on to the deformed states or
micrOSCOpically as mixtures of lp-lh states and 3p-3h
states. They alSo used a different value of the particle-
hole gap by calculating it with shell model state energies
and found it to be 5.4 MeV.

In the present calculation the particle—hole gap was
obtained from the mass tables and the single particle levels
used were chosen from neighboring nuclei.

Coulomb mixing was accomplished as in O16 by mixing
the T=0,l states through the off diagonal matrix elements
1/2(€g-Sfi+€;-E:) and the proton particle hole gap was reduced
by .3 MeV to simulate the Coulomb shift of the single

excited proton.

_l .
4.2.1. (sz/2-0d3/2) Multiplet

 

Erskine (Er66) observed i=3 transfers in the

0 reaction to states at 3.72 MeV, 4.49 MeV,

K39(He3,d)0a4
5.61 MeV, a mixed £=l,3 transfer to the state at 6.03 MeV
and a i=1 transfer to the state at 6.75 MeV. Upon the basis
of the i=3 transfer Erskine identified the first four levels
as belonging to the (0f7/2-0d3}2)T=0 multiplet. His
identifications were 3'(3.72), 5'(4.49), 4'(5.61), 2'(6.03).
T. Kuo (Ku71) agreed with Erskines first three '1'
transfers. However he could not assign an '2' transfer to

the state at 6.03 MeV but assigned an i=3 transfer to a state

at 6.75 MeV.

45

 

Nv.ml mm.ml mm.mHI Nb.mHI mm.aml C

 

66.2- om.~: oe.~- 26.6-
em.m Ha.e Hm.e Ho.m Hm.o mo.au mm.m . mH.HH- m~.een o
~\meo m\mce m\moo «\Hea «\moa «\eeo «\moo ~\Hna mxmoo

 

.mH0>0A OHOHuHmm OHmQHm

ow

MUII.H.v mqmflfi

46

Experimentally both the 6.03 MeV (2-1) and the
6.75 MeV (2-2) states have been identified as 2- T=0 states,
but the two experiments quoted disagree as to which is the
state tobe assigned to the configuration. The present
calculation with the K-K interaction and without the
monOpole shift places the energy of the (0f7/2-0d3}2)T=0.
multiplet too high, i.e. 3‘(5.6), 5’(5.83), 4‘(7.15),
2-(8.10). With the monopole shift the states are at
3'(4.34), 5‘(4.48), 4‘(5.91), 2‘(6.81). The monOpole shift
is needed in order to bring the 5- and 4- states into good
'agreement with experiment. The results with the Sussex
interaction using the monOpole shift for the 5-(6.35) and
4-(7.ll) are also in good agreement with eXperiment. However,
the K-K interaction with the monopole shift places the 2-
at 6.80 MeV which is in better agreement with the 2-2 then
the 2-1, on the other hand the Sussex interaction with the
shift places the 2- at 6.23 MeV which is in better agreement
I than the 2- . 1

l 2
Gerace and_Green have calculated that the 5-1 and 4-1

with the 2'

states are almost pure shell model while the 2.1 level is
mostly deformed, being 67% 3p-3h. They found the 2-2 level
to be 29% 3p-3h. The major shell model componant was

_1 . '
Of7/2-0d3/2. These admixtures of the 3p-3h states in the
2‘ vectors could explain the ambiguities between Erskine's

results and Kuo's results in the '1' transfers. Gerace's

47

identification of the 2—2 being mostly shell model tends
to favor the K-K calculation with monopole shift over the
similar Sussex calculation.

For the 5- member of the multiplet the eXperimental

B(E5)=2.43x105 ezflo, the K-K interaction without the shift
has B(E5)=l.75x105 erlO while with the monOpole shift
5 2 10

B(E5)=l.69x10 e f , a slight decrease.

For the 4‘, T=0 level of the multiplet the values of
B(E4) for the K-K potential with and without the shift are
92 ezf8 and 35 ezf8 respectively. The decrease in the B(M4)
with the monOpole shift is due to the decrease in the T=l
admixture. The Gillet vector for this state is very similar
to the K-K interaction vector when the monOpole shift is
used, i.e. about 10% of the vector is T=l.

The screened RPA (65% K-K with the monOpole shift)
places the 5-(4.80) and the 4-(5. 84) states close to the

right values, the B(E5)=2.12x105 er10 which is a slight

improvement over the TDA results while B(E4)= -31e2f8.

The 3-, T: 0 state of the (0f7 H/- W/z) multiplet is
quite collective, its largest component, as expected is
(0f7/2- 0d3/2) but it represents less than 40% of the vector,
the (0f7 7/2 -151/2) configurationl contains about 18% while the

) and the(Of7 ) each contain about 10%

(193/20 d3/2 7/2 0d5/2
of the vector. This structure for the vector along with a

negligible T=l admixture is independent of whether or not

the monOpole shift is used. The calculated B(E3)= 869 ezf6

48

for the KK—TDA no shift, this is an order of magnitude higher

than the single configuration value of 66 ezf6 and is a

2f6.

The KK-RPA without the monOpole shift gives a B(E3)=3 190 e2f6

factor of 3 smaller than the experimental value of 2410 e

These results are quite similar to the results obtained by
J. Blomqvist and T. T. S. Kuo (Be69) with the bare G-matrix.

The K-K interaction in the RPA with monOpole shift
(drives the 3- level imaginary. The screened RPA has
B(E3)=1120 e2f6 (6.62 MeV). A slightly smaller value for
the screening, say 70% of full strength for the matrix
elements might have given an almost perfect fit to the
energies of the 0f7/2-0d;}2 quartet. The problem of fitting
the 3- energies and the B(E3)'s has been discussed by '
J. Blomqvist (B169). They used various combinations of
second order graphs in the RPA to try and fit both the
energy of the 3- state and the relative transition strengths.

Their best fit to the relative transition rates
resulted in the 3- energy being too low, 1.33 MeV, while
their best fit to the energy (using a different combination
of graphs than with the relative transition rates) resulted
in all the 3- strength being put into the lowest state

whereas experimentally the 3-2 has about .28 the strength

of the 3 1.

49

 

 

TABLE 4.2.--Relative Strengths of the 3-, T=0 States in Ca40.
Exp. Blomqvist K-K KK-Shift
351 1.00 1.00 1.00 1.00
3‘2 .28 .12 .03 .19
3; .16 .15 .17 .06

 

The same problem exists in the bootstrap theory (G070).
Attempts to find self consistant solutions of the equations
for Ca40 resulted in the phonon energy of the 3- state being
driven to zero if an attempt was made to stabilize the
transition rate-near the experimental value. A first order
solution to the bootstrap equations confirmed Gerace and
Green's choice of 5.4 MeV for the particle-hole gap. If one
~inputs a 5.4 MeV particle-hole gap in the Hartree-Fock levels
into the bootstrap equations then the first order solution

to the observed particle-hole splitting is 7.2 MeV in

agreement with the value obtained from the mass table.

The (0f7/2-0d3}2), T=l levels were also identified by

0

Erskine through i=3 transfers in the K39(He3,d)Ca4 reaction. He

found them at, 4-(7.66), 3‘(7.70), 2‘(8.47) and 5-(8.55).

They were however mainly identified through their position

. . . . . . ' -l
in relationship to their being analogs of the (0f7/2-0d7/2)

40 and K40. The K-K interaction without the

multiplet in Sc
shift places the levels slightly high, at 4-(7.82), 3-(7.75),

5-(8.43): 2-(8.99) while with the monOpole shift they are

50

found slightly low, at 4-(7.lS), 3—(7.47), 5-(7.87),
2-(8.42). In both cases it should be noted that the

'2‘, 5- splitting has been reversed by the K-K inter-
action. The results for the Sussex interaction are similar
except that the levels come a little lower and closer
together.

The monOpole shift also provides the correct
separation between the T=0,l parts of the multiplet.
Without the shift the two sets of levels intermix (Fig. 4).

R. Schaeffer (Sc7la) calculated the position of

40

_l _ ‘. i u
the (0f7/2-0d3/2) T-l configuration states in Ca from the

40 and Sc40

experimental levels of K by taking into account
the Coulomb shifts. The results of this calculation agree
much better with the results obtained from the K-K inter-

action with the shift than they do with eXperiment.

-l
(0f7/2-lSl/2)T=0 Multiplets

 

Erskine also observed a number of i=1 transfers
along with the i=3 transfers. The lowest lp—lh configuration
which would exhibit an i=1 transfer in the K39(He3,d)Ca40
ireaction is the (lp3/2—0d3}2)° The allowed values of J for
this multiplet are J=0‘,1“,2‘,3‘. The (lp3/2-Odgiz) is
almost degenerate with the (0f7/2-lsl}2) whose allowed J
values are J=3-,4-. (Fig. 5). Since the two configurations

are almost degenerate one should eXpect a lot of configuration

mixing for the 3- states.

51

The 1-, T=O state from the (lp3/2-0d3}2> multiplet
for the K-K interaction with the monOpole shift is at
7.19 MeV (8.45 without the shift). There are two observed
1-, T=0 states at 5.90 MeV (1—1) and at 6.94 MeV (1-2).
Gerace and Green find that the 1.1 is mostly deformed and
has a 3p-3h amplitude of .98. On the other hand they
assign the 1-2 tobe practically pure shell mode (4%
deformed) with the major componant the (lp3/2—Odgiz). This
is in good agreement with the present calculation.

“Nobody has yet reported seeing the 0- level or the
2- level from this multiplet.

The 3- state from the (lp3/2-0 d3/2) multiplet mixes
quite strongly with the 3- state from the (Of7/2-lsi/2)
multiplet as expected. The K-K interaction with the monopole

shift predicts two 3-, T=0 states with major components,
13‘ (6 56)>= 6511 —0c1"l >— 6010f ~15“l >
2 ' ° p3/2 3/2 ' 7/2 1/2
13 3(7.75)>=-.51|lp3/2-0 d3/2>+. .64l0f7 H/ -lsl/2>

the 3.3 state has a significant T=l component from

(Of , Gerace and Green calculate that the 3—2

-1
7/2'0d3/2)

state is about 50% deformed with major shell model con-

figurations of (1p3/2-0dgjz) and (0f7/2-lsi}2) while the

3.3 is pure shell model with major configuration of

(Of Experimentally there are two 3-, T=0 states

-1
near 3-2, at 6.28 MeV and 6.58 MeV. Erskine found a i=1

 

II] It'll Ill-III] llllllll‘lllllllvt 1‘ ll|l|l|1

52

transfer to both the states. It doesn't seem that one
can make a firm identification for the theoretical
3_2(6.56) with either the 6.28 MeV or 6.58 MeV level, but
'that the strength is split between both levels.

A third 3-, T=O level is seen at 7.53 MeV. Erskine
assignedit to the (lp3/2_Od;}2) multiplet on the basis of
an £=1 transfer. Gerace and Green calculate a 3-, T=0
level at 8.05 MeV which is 36% deformed and whose major
shell model configuration is a (1p3/2-0dgiz). Part of
the 3_3(7.75) strength may be contained in this level.

There appears to be seen exerimentally much more
3‘ strength then can be accounted for in a lp-lh calculation.
Most of the 3- levels in the 7 MeV region are probably
mixtures of 3p-3h states and the above two multiplets.

The effect of the monopole shift is to decrease the T=O,1
mixing for some of the levels but to increase the mixing

for other levels. ’This is due to the large size (18x18)

of the 3- matrix (i.e. accidental degeneracies occur).

The 4’, T=0 state from the (0f7/2-lsliz) multiplet is found
at 9.08 MeV with the K-K interaction and the monOpole shift.
The effect of the monOpole shift on the state is to remove the
T=l componants, greatly reducing the theoretical transition
rate. .No 4-, T=0 state has yet been identified in that
region. There is however a 4-, T=0 level seen at 7.11 MeV.
Gerace and Green have calculated a total of three 4- states,

4‘2(7.27) which is 83% deformed and 4’3(9.70) which is

53

mainly (0f7/2-lsiiz). The state seen is probably the
deformed state and not the shell model state.

As in the case of 016 one notices that the Sussex
interaction is much more attractive for the O_l level then
K—K interaction.

The giant dipole resonance is found through the
photo nuclear reactions (y,p), (y,n) and is centered about
19 MeV. The K-K interaction with the monopole shift predicts
it to be at 18.0 MeV and without the shift at 18.5 MeV

(see Table 4.4).

 

 

 

we. we.
Am.e\ev me.m Am.e\sv am.m se.m H.-m
mm mm
Am.m\ev me.e Am.e\ev me.e se.s a.-m
mm.H so.H
Am.e\sv ma.s Am.e\sv mm.s ee.e H.1e
Huelm\mso-~\eeov
me. am.
Amemov sm-em saw Am.e\ev em.m Am.e\ev ee.m ome.e .nm
Amemwv smumm wee mmo.e .IN
4
5 mm mm
emusoems Aezlm os Am.e\sv Hm.m Am.e\sv me.s moe.m -e
moexme.e meexme.e
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mew mew
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omsxmfimeonm\eeov
am nm N
mmeEwm A.mfioo .mmfivm A.mfioo .flmevm A.mxmvbm .mxm

mEIMM

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Hue mcfl>oamu .m.z on map No.v mmn

mocmuwMMHc mmumq .cmmm uoz Am.m\nv mo.m Am.m\nv mm.cH Iv
>m2 hm.n pm on ou

emumesoemo Amemwv smuem wmm He.e us

he vm
Am.m\sv ms.s Am.m\sc mm.m m.Hm mm.e um

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mm. Nv.
seem hos Am.e\mc mm.e Am.e\mc me.m um
comm uoc w.m m.m no

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5

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Am.e\ec em.s Am.e\sv me.m em.m H.-m

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mSIMM 7 MM

 

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qv m

m.me m

Hue . a pm>ummno

 

56

 

Hoe mmm moexmm.e momma cease meow mmm so mm m
es.s ee.e oe.m es.m em.m me.e oo.m oe.H me.e me
em.o~ mm.me em.me me.me mm.e em.e mm.ee ee.ee oo.me m

«ammo. «ammo.
Hus+m oue+~ . ensue ensum oueum onenm Husam finale ensue

 

.Aé xflpcmmmm mom mmasEHom Howe
amezm maomocoz may aha; Goeuomnmch MM may mo cowpmnsmflmcou m>wumucmmmummm
MOM mmasm 85m mam mcoflmnmmmfio hmnmnm .mmwmumcm cwoupnmo ovm0||.v.v mqmda

57

40 -1 .
FIGURE 4. Ca (Of7/2 Od3/2) Multiplet.
A = exp.
B = KK
C = KK-MS

D = Sussex
E = Sussex-MS

F = .65 KK-RPA MS

IO

58

 

 

 

 

 

u U!
. 0

C040

 

H,

 

 

-l-1

 

 

 

u n
O

 

 

 

 

 

FIGURE 5.--Ca
A

B

40

-1 -1
(193/2’0d3/2)' (0f7/2'151/2)

exp.

KK

KK-MS
Sussex
Sussex-MS.

.65 KK-RPA

MS

59

Multiplets.

60

 

 

...m w.
d .5
0 ll
. _
2 2
_y fw
m w
0
4
O
C

T=l—_—

T=O—

------3-

4-

 

 

.4
.D. ..
30 I32
. - : .
._ ...
_. ...
— . : .
. u :-
..o
— a.
4 anz
_ ...
_ ...
_ ...
. ...
. ...
_ :—
u
. ma...
4 0.1...
...
...
...
...
:.
...
.. .
04 .I3
= .m
= ..
= ..
= _-
= _-
= ..
....
4 032|
.a
.-
.-
.3
.3
I

 

 

 

 

- u
21.

 

 

 

 

_ ...

_

 

 

 

 

 

 

 

 

:.

3r...a..a.

 

 

 

 

 

 

 

 

 

 

CHAPTER V

Ca48

The reader is urged to make use of Table 5.3 at
the end of this section which briefly summarizes the
levels of Ca48. For a more complete summary of the Ca48
calculation the reader is referred to Appendices D.3 and
E.3.

Ca48 differs from the previous two nuclei in that
N is greater than Z and that the isospin of the ground
state is no longer zero but T=4. The eXperimental levels
(Fig. 7) were obtained from various experiments (p,p')
(Pe65, Le67) and transition rates for the 2+(3.830)

B(E2)=4S.7 e2f4, 3'(4.50) B(E3)=l.05x103e2f6 and the

5 erlo were obtained from C. Gruhn

5‘(4.49) B(E5)=7.77xlO
(Gr72). The single particle levels used were obtained

~from the neighboring nuclei.

TABLE 5.1.--Ca48 Single Particle Levels.

 

0d5/2 1S1/2 0d3/2 0f7/2 1p3/2 5/2 1p1/2 Og9/2

 

P -18.73 -15.32 -l4.95 -9.62 -5.20 -3.74 -2.75 0.00

N -l6.63- -l3.64 ~13.63 -9.94 -5.14 -l.18 —3.12 -l.12

 

61

62

The zero point energies of the T=O, l excitations are no
longer equal for Nfz nuclei due to the admixture of the

2pr2h configurations to the Tel excitations which are
necessary in order to form states of good total T. Coulomb
mixing was obtained in the usual way by adding off diagonal
matrix elements between the T=0 and the T=l matrix elements.
The proton particle-hole gap was also reduced by .3 MeV to
take into account the Coulomb shift. It should be emphasized
that despite the references to T=O and T=l excitations the
iSOSpin of the states calculated is equal to the ground state

isospin of the nucleus, T =4, i.e. only T=4 states are

0
calculated.
From Fig. 6 one can see that the main effect of the

monopole shift is to move all the centroids down by roughly

48 E1
the same amount. For Ca , —X'= 5/12.
In 016 and Ca40 the way to obtain low lying positive

parity states was to use a deformed basis consiting of
multiparticle-multihole states. This is not necessary in
Ca48 since lowest nn"l configuration is (lp3/2-0f;}2) which
can yield a low lying 2+ state. There is however a low
lying 0+ at 4.28 MeV which can not be accounted for by lp-lh
shell model excitations. As in O16 or Ca4o this is probably
a 2p~2h state on a deformed basis. Since this state has
been excited through (p,p') it implies that the ground state

contains multiparticle-multihole excitations which could

also contaminate the 2+ state.v

63

The three low lying configurations in Ca48 have
as.their zero point energies (energy before the switching

on of the interaction).

TABLE 5.2.--Zero Point Energies of the 3 Low Lying Multiplets

 

in Ca48.
pp_l (Of -0d'l ) 5 33 MeV
7/2 3/2 '
-l —l
-l -l
nn (lp7/2-0f7/2) 4.80 MeV

 

Since the two pp-l configurations are less than
.4 MeV apart one expects a lot of mixing of the 3- and 4-
states originating from these configurations. This is in
fact the Case and the lowest calculated 3- state comes from
the higher of the two pp"l configurations.

48

The lowest excited state in Ca is a 2+ at 3.8 30 MeV

with a B(E2)=45.7 e2f4. The nn-'l (lp3/2-Of;}2) configuration
with the K-K interaction and no monOpole shift places the

2+ energy at 4.52 with a B(E2)=.34 er4 the same interaction
with the monOpole shift lowers the 2+ energy to 3.88 MeV
however the B(E2)=.37. Energies calculated from the Sussex
interaction are slightly higher and the transition rates

are about one third the size. The large discrepancy between
theory and eXperiment for the B(EZ) is due to the fact

that the vector is more than 99% nn—1 which does not

contribute to a B(EJ). An effective charge of 1 would give

i ' 64

a B(E2)#30 e2f4. More serious is what the other members

of the nn-l (1p3/2-0f;}2) multiplet have not been seen

in the region of 4-5_MeV with the possible exception of the
4+ state. Gruhn (Gr72) has reported a possible 4+ at L
4.62 MeV. Two other 4+ states have been seen (Pe65) but

at a higher energies, 6.35 MeV and 6.65 MeV. The 3+ and

5+ members of the multiplet have not been reported. The
Sussex interaction without the monopole shift places a 4+
state with the above configuration at 4.91 MeV. The K-K
interaction places the level at 4.69 MeV without the shift
and at 4.06 MeV with the shift.

40

One notes that in Ca there is'a possibility of a

0+, 2+ and4+ rotational band, where there is no such
candidate in Ca48 at present. Multishell calculations
predict large numbers of positive parity states (Mc70)
which do not form a rotational band. Again very few of
these states have been identified in the experimental
spectrum.

One should be able to account for low lying negative
parity states by mostly the (0f7/2_0d3}2) and (0f7/2-lsi}2)
proton configurations which are almost degenerate. The
lowest observed negative parity state is the 3- at 4.50 MeV
with an observed B(E3)=l.05x103e2f6. The calculated TDA
levels with or without the monOpole shift using the K-K

interaction are too low. For the TDA with the Sussex inter-

action the 3- level is almost correct with no monOpole shift

65

and is too low with the monOpole shift. All the TDA B(E3)'s

are the same, B(E3)=l.27x103e2f6 which is slightly higher

than the experimental value of l.05x103e2f6. The RPA With
the K-K interaction and the monOpole shift gives an
imaginary3f state. Reducing the K-K interaction and
monOpole shift to 65% still places the 3- too low by about
.8 MeV but at the same time it doubles the transition rate,
B(E3)=2.l6x103e2f6. As can be seen from Appendix D.3, most
of the 3- transition strength is placed into 2 levels, the
lowest 3- state which is mainly pp-1 and the highest 3-
state near 15 MeV which is mainly a T=l excitation.

Due to the near degeneracy of the low pp-l configura-
tions the lowest 3- (3.14 MeV) vector does not have as its
main componant the lowest energy particle-hole configuration,
(0f7/2-0d3}2) but instead its main componant (50%) is the
2nd lowest configuration (0f7/2—lsi}2). This lowest 3- state

1 (14%) and T=0 (23%)

Vector also has significant nn-
excitations.

Three other 3- excitations have been observed below
8 MeV at 5.15 MeV, 5.37 MeV and at 7.65 MeV. The K-K inter-
action with the monOpole shift predicts three such 3- states
(Fig. 7) below 8 MeV at 4.79 MeV (mainly pp-l), at 6.61 MeV

(significant pp‘l, nn-l, T=0) and at 7.39 MeV (significant

pp-l, nn-l, T=0). All three states have B(E3)'s less than

the single cOnfiguration Values.

66

At the present there is insufficient information
(such as 2 transfer), on the experimental levels to be able

I

to match the theoretical states with the experimental states.

40

As in Ca there are probably deformed contributions to

the negative parity states.
' - -1
The other state namely the 4 , from the (0f7/2 151/2 )
configuration has not been seen. This is predicted at
5.49 MeV with the K-K and no shift and at 4.62 with the K—K
and the monOpole shift. There is however a possible

candidate at 5.26 MeV.

The 5- state seen at 5.723 MeV has a theoretical

5 2 10

B(E5)=2.9x10 e f which is approximately four times bigger

than the reported experimental value of 7.74x104e2f10. The‘
calculated 5- level even without the shift is too low. One
possible reason for the large calculated B(E5) is that the
wavefunction is most pp-l, (0f7/2-0p3}2) if however the
level was slightly higher it would mix more with the nn—l
excitation and the pp.1 strength would then be weakened.
In summary there are not too many conclusions one
can draw about Ca48. The predicted multiplets are not
observed experimentally. The theoretical results are very
similar to those of Ripka who used a force fitted to the
3_ and 5- states. The monopole shift has virtually no
effect on transition rates or on the composition of state

vectors (Appendices D.3, E.3). While there is not too much

experimental evidence, there is a definite discrepancy between

67

experiment and this and other simple theoretical calculations.
. The discrepency is that experimentally a 2+ level is the
lowest state with the 3- state above it. The 3- state is
also less collective then the 3- state in Ca4o. The theory
predicts both the 3- and 5- states too low in energy and
too collective, with the 3_ below the 2+. The 2+ state is
predicted to be too high and almost degenerate with the
4+, where experimentally the 2+ and 4+ are well separated,
the tentative assignment for the 4+ being accepted.

Though there is no experimental evidence it seems
unlikely that the dipole excitation.liesat.the predicted value
of 14 MeV, below that observed in the Strontium region

40

(16.5 MeV) and far below that observed in Ca (19 MeV).

68

 

 

 

mo.m mmo.
schemeeoxm one Am.e\mv am.e Am.m\mv emm me.e um
comm uoc .pwEHOmmp manmnoum oa.m A+Nv
moaxmm.m moaxam.m
Ae.m\ev eH.e Ae.m\sc eo.m eoexs.e me.m -m
comm uoc .meHOMmp manmnonm ow.m o
GQSOM “on +
coHuMOflwHucmpfl wyflummncflmm mm.v aw.m wm.m Alvv
.sOeemoemeusmte meme 0» ~.m mm. em.m um
mama on Oh coflumeuowcfl o: Aa.m\nv mn.¢ Aa.w\hv mw.m mH.m um
pcsom uo:
cofluMOAMflucopfl wuflummlcflmm mo.v mm.v No.v A+vv
omma chma
m>epomseoo Ae.m\ev HqH.m As.m\sv em.m omoa om.e um
comm yo: .meMommp mm.v +o
.omzmmm
mm>flm H mo mmumso m>Huomwwm
.sOHumHsmeesoo sowesms woe A~.e\mv mm.m A~.e\mv Hm.e s.me mm.m +~
hm hm
mmeEmm A9800 mmzv m AQEOO nmfiv m Amxmvbm .mxm
mZIMvH
.Ao can 0

mmoflpcmmmd mom mfiou mmzv mo coaumc

wamxm How

we

mu mo mumEESm HMfluHmmLI.m.m mqm<9

69

1H pm>ummno

 

oaXo.H

 

N. X. K. N.

m moe m m mam eoa m a woe m m «ca 5 H mma so m
mH.m om.~ mm.~ em.~ em.m mm.v mm.~ mm.a me
me.ea mm.ea Hm.ma ee.m oe.m oa.e, No.oe mo.ea m

«same.
+e +4 +N :e um um um 1H

 

maomocoz may nufl3 coauomumucH MIM mcu mo chAumnamflmcoo
HOM mmasm 55m pcm mc0flmuwmmflo hmumcm .mmfimnmcm pwouucwo

.Ad xflpcmmmm mom mmazfiuom Homv uwflcm

V

mv

a m>flumwcowmummm
MUII.¢.m mqmfifi

7O

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

KK - TDA
48
Co
I \
l’ \
T = O / \\
‘ ~- \
T "' I \\\ \\ T 3
\\ lp3/2- Ody/2
T = O
CENTROID
SHIFT
pp-' v ’ ’: \\‘
PP" , ” “5. ‘l - '|
. I \ ‘ pp 0sz ”W?
- ' ‘ \‘ ... _ -
nn ‘ , l \ pp 01‘.”2 ‘ Dds/2
‘~ -I -I
"" l"312" 0fIvz

 

 

FIGURE 6.4-Ca48 Monopole Shifts.

 

FIGURE 7.--Ca48

A

B
C
D

['11

’13

II

N

71

Energy Levels.
exp.

KK

KK-MS

Sussex
Sussex—MS

65% KK-MS RPA

72

 

 

 

 

 

 

 

0+

48

Co

00

 

pp’l (Of
...... pp‘|(0f

nn"

 

 

7/2

7/ 2

- ~I
0d 3,2)

‘|S" )

l/2,

'(Of -lp"3/2)

7/2

 

5*._
5-

213+

0+

 

 

CHAPTER VI

Sr88

Sr88 is similar to Ca48 in that there is a neutron

excess. In this case both the 0g9/2 and lpl/2 levels are
filled for neutrons and empty for protons. Several

eXperiments (Go70a) have been performed to study the levels

of Sr88. Proton lp-lh states incorporating a lpl/Z proton

8

have been observed in the Y89(He3,d)Sr8 reaction and the

88 reaction. Neutron lp-lh states based on a

8

Y§9(t,a)Sr

Og9/2 hole have been studied by the Sr87(d,p)Sr8 reaction.

The neutron 2p—2h and lp-lh components of the levels have

88 86

been studied by the Sr86(t,p)Sr reaction. Since the Sr

target is largely a mixture of the neutron components

(099/2)-2. (lp3/2)_2, etc. the t,p reaction populates

states which have neutron components (ld5/2)2(0g9/2)-2, etc.
The collective prOperties of some of the levels have been
investigated by inelastic scattering of protons, deuterons,

alphas and electrons. The experimentally observed levels

along with the present calculation are in Fig. 8.

88

The results from the Y89(He3,d)Sr reaction and

88

‘the Y89(t,a)Sr reaction have shown that the low lying

73

74

states are mostly proton-proton hole. The single particle
energies used were again obtained from neigthring nuclei.
! The neutron particle- -hole gap is seen to be 4. 71 MeV
while the proton particle-hole gap after deducting the
.3 MeV due to the Coulomb shift is 3.22 MeV. This leads
one to eXpect, as has been confirmed eXperimentally, that
the low lying levels in Sr88 would have mainly proton-proton
hole components. The value of the oscillator parameter
used waS‘fiwe9.0 MeV.

The size parameter for the monopole shift el/A=.23.
As in the other closed shell nuclei a low lying 0+ level is
observed. Again there is no explanation for this state in
Iterms of lp-lh excitations and one must go to multiparticle-
multihole states for the explanation. These multiparticle-
multihole states can also contaminate the other positive
parity states.

The lowest observed state in Sr88 is the 2+ at

1.84 MeV with a B(E2)=l99 e2f4. The calculated 2: is too

high in energy for the K-K interaction. In the TDA the

monOpole shift lowers the energy from 2.76 MeV to 2.26 MeV.

The transition rate changes very little, B(E2)= 62 er4

and is about twice the single configuration value. The

'RPA increases the transition rate to B(E2)= 83 e2f4.

A calculation of Sr88 by T. A. Hughes (Hu69) using a two

proton hole basis (i.e. the core would be ngo) places the
2: close to the right energy, with a B(E2)= 66 e2f4. So

while the two hole basis does slightly better for the

75

 

mn.e-

 

em.m- ~e.m- em.m- mm.e- oe.ee- me.een NH.mH- me.meu me.me- z
em.o Ho.e no.0- me.H- me.~- ee.e I 50.5 I mm.oau oo.HHI mm.men e
mxeeso m\smo m\mse mhmH «\msH m\mmo ~\Hea ~\meH m\mwe «\eeo

 

.mHm>ma maofluumm mamcfim

aH III. 0
mm m H o mqmdfi

76

energy of the state it does not improve the transition

88

rate. The cross section in the Sr86(t,p)Sr reaction

is much smaller for 2: then the cross section for the
higher lying 2+ states which would indicate a very small
2p-2h neutron component to the state. From the

Y89(d,He3 88

)Sr reaction Kavalaske (Ka67) et_al. concluded
that the (lpl/Z—lp372) and (lpl/z-Of;}2) proton configura-
tion made up 80% of the 2; state. The present calculation
shows that these two configurations form 83% of the state
.when the monOpole shift is used and 96% of the state
without the monOpole shift. Most of the B(E2) strength

is predicted to be concentrated in the lowest 2+ state
(2.26 MeV) and in the highest 2+ state at 14.8 MeV.

The 2: is seen experimentally at 3.22 MeV, the

K—K interaction with and without the shift yields
energies of 3.55 MeV and 3.04 MeV, So the monopole shift

moves the 2: state down too far but still closer than

before. The B(E2)=l.0e2f4 without the monOpole shift '

2 4

and .037 e f with the monOpole shift. The experimental

B(E2) obtained from inelastic scattering (d,a') is

.08 e2f4. The present calculation with the monopole
shift indicates that the state is 90% pp-l. This 2;
state is also observed to have a small cross section

(Ra70) in Sr86(t,p)Sr88.

77

The next calculated 2; with the K-K interaction
and the monOpole shift is at 4.55 MeV and is 79% neutron-
neutron hole with the main component (ld5/2-0g572)' The
higher 2+ states between 4 MeV and 5 MeV all have significant
cross sections in the t,p reaction. Some of these states
are possibly deformed since a simple lp-lh shell model
calculation can't generate the number of states required.
The two protOn hole calculations by Hughes yields one more
level but this is still about 6 or 7 levels short.

The K-K interaction with the monOpole shift yields
levels 1: (3.39), 3: (3.56), 3; (3.05), and 6: (4.32).
These levels seem to correspond to the experimental levels
1+(3.48), 3+(3.64), 3'(3.99), 6+(4.41). In addition there'
is a 4+ doublet seen at 4.23 MeV and 4.30 MeV. The K—K
interaction with shift puts the 4: at 4.07 MeV which could
be split by coupling to a deformed state.

The lp-lh shell model breaks down in other ways
besides not being able to deduce the correct number of
2+ states.. The 1p-lh model predicts a low lying 5- state
at 3.36 MeV (K-K interaction with monOpole shift) whose
major component is a (099/2-lp372) proton-proton hole.
This state as of now has not been seen. Since it should
~be a proton configuration the state should be seen in a

88 reaction. This state carries most of the

Rb87(He3,d)Sr
E5 transition strength, its B(E5) is an order of magnitude

greater than the single configuration B(E5). The lp-lh

78

model also predicts a 5;(4.00) and 71(3.84) both of which
are mainly proton configuration and are not seen. In the
1p-lh model the 3- state comes too low in energy. The

K-K interaction with monopole shift places it about .75 MeV
too low. The RPA makes it imaginary, by reducing the
strength of the K-K interaction to 65% of its strength

the RPA with the monopole shift places the state at 2.10 MeV.
The Sussex interaction without the monOpole shift in the

TDA places the state at the correct energy but no real
meaning can be attributed to this. The 3- state carries

most of the 3- transition rate B(E3) (exp)=8960e2 6.

B(E3)(K-K)=4850e2f6 and B(E3)=12500e2f6 for the 65% K-K
interaction in the RPA.

Insummary the calculations do predict a collective 3-
and a fairly collective 2+ state corresponding roughly
to eXperiment along with a set of positive parity levels
- in the region 3.50 to 5.50 MeV. However there are many
extra positive parity states observed which are not
accounted for by simple particle-hole calculations. The
theory also predicts a collective 5- state which is not

48 the 2+ and 3- states are inverted.

seen and as in Ca
The dipole centroid is much too low at 12.3 MeV as compared

with 16.5 MeV experimentally.

79

 

 

moexm.e mOHxG.H
AN.HH\~HV A+eveam.e AN.HH\HHV A+mvee.e He.e +e+m
mpmum @mEHOmmp
mo sheeehemmOQ .mmsmhm moexem.m moexme.m
e smsoso godsend hoslm.ee\mav mo.e AN.HH\NHV ee.e om.e +4
mOOU Muomcp mumum +v “Mano
(eased on we seeesmwe u.sso m~.e +4
m~.H mm.e
le.mxeev luncheo.e Ae.m\HHV lumeem.e mm.m -m.+e
oeo. eve.
Ae.m\oev mm.m Ae.m\oev mm.m ee.m +m
«me. «me.
Ae.m\oev mm.m Ae.m.oev mme.e ae.m +H
eo. ~o.a
Ae.m\eev mo.m Ae.m\oev mm.m mo. -.m +m
theh0ems meanness mH.m +0
oeme emme
6>e566eeoo Ae.m\eev em.e AH.m\HHV m~.~ chem me.m um
memo mom .coflw
ushehssoo smuem we each me me
smsmsd 6n Shoes sees ooe Ae.m\oav .em.m Ae.m\oev se.~ ems emm.e +m
. an em
mmeEmm AQEoo mmavm Amfioo flmavm Amxmvhm .mxm
males mm

wooepcmmmm mom .QEOU .mmzv mo coaumcmamxm How am mo mumfifism Hafiuummll.m.m mqm<e

mm

8O

 

 

. m.m H.e
+4 made>645 mm 56H90hd mshmlm.ee\mel mm.4 AN.HH\NHV 54.4 45.4 +5
54.4 +5
46640466 seemsosd 44.4 +o
em . em 5
wamem AQEoo flmfivm AmEoo nmzvm Amxmvhm .mxm
mzuxx mm

 

.UODCHpGOUII.N.m mam¢5

81

TABLE 6.3.--Sr88 Centroid Energies, Energy Dispersions and
Sum Rules for Representative T< Configurations of the K-K
.Interaction with MonOpole Shift (for Formulas See Appendix A).

 

 

1‘ 2‘ 3’ 3’ 4’ 2+
.65RPA
E 12.27 9.03 5.66 8.16 8.65 9.31
AB V 1.22 2.41 4.12 3.44 2.51 5.38
s 122 272 5.4xlo4 5.8xlo4 4.0xlo5 1834

 

Observed 1' (in Zr90)
E = 16.5 MeV
s : 100 MeV f2

FIGURE 8.--Sr88

82

Energy Levels.
exp.

KK-TDAC

KK-TPA MS

65% KK-RPA MS
Sussex-TDA

Hughes 2p—l

83

 

 

SF 88

4

 

.4

 

 

 

2
6365.. ..l 6

11111.11

6W 463 764

1:1:

.2 ..466 45¢..r

1? 1: 11.

2.4 6.635%6wl.4 l3 ..3
).\.‘O .0 O 3

 

 

 

 

 

 

 

 

 

 

 

.
3

o
2

 

. .1

 

 

CHAPTER VII

SUMMARY AND CONCLUSIONS

It is felt that the results of this work demon—
strate a number of things. First that the corrections
provided by the monopole term of the particle—hole inter-
action are inadequate. This inadequacy is reflected in
that the calculated centroid energies of the identified
multiplets are too high in energy and that for the two
N=Z nuclei, 016 and Ca40 the T=0, 1 splitting is too
small.

The inclusion of the monopole shift in the
calculation significantly improves the position of the
centroids and of the T=O,1 splitting for the N=Z nuclei.
The improvement reflects the l/A dependence of the
isovector part of the monopole term.

lThe relative T=O,1 mixing of the vectors in O16
has also been improved. The B(El)'s which are particularly
sensitive to the T=l component, since the T=0 component
does not contribute to the transition rate, are also

significantly improved, at times by an order of magnitude.

The B(M2)'s from all but the lowest 2_ state are within

84

85

an order of magnitude of the experimental transition rate.
In addition both the giant dipole and quadrupole states
are correctly predicted in energy when the monOpole
shift is used.

In Ca4O only the transition rates from the lowest
3- and 5_ levels are known. There is however a net improve-
ment of both the T=O,1 splitting and of the centroid
energies for the lowest multiplets. The giant dipole
state is however placed about 1 MeV too low by the monOpole
shift. There is a good correspondence between the states
calculated with the monOpole shift and the shell model
states from the deformed basis calculation of Gerace and
Green. It should be emphasized that this however is a
comparison between mathematical models.

Much less is known about structure of the two N#Z

48 and Sr88. The only transitions rates reported

nuclei Ca
are the B(E3)'s from the lowest 3- state. In both cases
the use of the monOpole shift does little to improve the
agreement between the observed and calculated levels. It
also has virtually no effect on either the transition rates
or on the composition of the state vectors of these two

16 40

-nuclei. 0 and Ca have proved to be a much better

test of the monopole shift.

86

The two interactions used, the Sussex and the K—K,
are with one exception similar in behavior. The exception

16 and Ca40

is the 0- states in O , where the K—K and the
Sussex matrix elements have opposite sign due to the large
attractive nature of the p and d wave contributions in the
Sussex matrix element. Other than this it is generally
observed that the Sussex interaction is weaker than the
K-K interaction and therefore the levels of a given
multiplet are closer to the centroid energy when using the
Sussex interaction.

The RPA and TDA yield almost identical results
except for the lowest 3- state with the same isospin as
that of the ground state. For this state the binding

increases such that the level is over bound for O16 and

a4O 48 88

C and driven imaginary for Ca and Sr . If the

strength of the interaction is reduced by 35% to simulate
screening then there is fairly good agreement between the
experimental and calculated results when the monopole shift
is used for this lowest 3- state.

48 88

For the N#Z nuclei, Ca and Sr , the theoretical

calculation inverts the order of the lowest states, the

2+ and 3—, and tends to overestimate in the RPA the

collectivity of the 3- state. Also in Sr88

a low lying
collective 5_ state is predicted but up to now has not
been seen. The dipole centroid is also predicted much

too low, though the strength is approximately correct.

87

Particle—hole calculations in lead, such as those of Gillet
and Sanderson give similar results. They predict a very
'collective 3- state below a weakly collective 2+, 4+,
etc. band of states. In lead this happens to agree with

the observed spectrum. The prediction for the dipole state,
however is 3-4 MeV too low. This points to a persistant
failure of the model for NfiZ nuclei, which can not be
correCted by a simple monopole shift dependant on the
symmetry potential. Some systematic effects of neutron
excess are missing from the model. As has been noted

(Fi70) the TDA calculation systematically overestimates

sum rule strengths.

Only the electric dipole and quadrupole excitations
have a narrow enough width to show a "giant" multipole
excitation character. For other excitations, remembering
that we have not looked at the monopole, the strength is

widely distributed, though in a different fashion for

different excitations.

REFERENCES

88

Aj7l
Be71

B169

B069

Br66

Ca64

E168

Er66
Fi70

Fu67

Ge64
'Ge67
Ge67
Ge68

G070

Go70a

Gr72

» 2: <3 2'

REFERENCES

F. Ajzenberg-Selove, Nucl. Phys. A166(197l)
E. M. Bernstein, et a1., Phys. Rev. 93(1971)422.

J. Blomqvist and T. T. S. Kuo, Phys. Lett. 29B
(l969)544.

Bohne, et a1., Nucl. Phys. A128(1969)537.

G. E. Brown and A. M. Green, Nucl. Phys. 15(1966)
401. ‘

Carter, Mitchell, Davis, Phys. Rev. 133(1964)Bl421.
J. P. Elliot, A. D. Jackson, H. A. Mavromatis,

E. A. Sanderson and B. Singh, Nucl. Phys. A121
(l968)24l.

J. R. Erskine, Phys. Rev. l49(l966)854.

F. W. Fink, Ann. Rev. Nucl. Sci. 20(1970)39.

Fuchs, Grabisch, Kraaz, Roschert, Nucl. Phys. A105
(1967)590.

,V. Gillet and N. Vinh-Mau, Nucl. Phys. 54(1964)321.

. J. Gerace, A. M. Green, Nucl. Phys. A93(l967)110.
Gillet and E. Sanderson, Nucl. Phys. 9241967)296.
J. Gerace, A. M. Green, Nucl. Phys. All3(l968)64l.

. Goswami, O. Nalcioglu, A. Sherwood, Nucl. Phys.
A 3(1970)445.

_1__

C. D. Goodman, T. A. Hughes, M. W. Johns, K. Way,
Nuclear Data Tables A§(1970)323.

G. R. Gruhn, T. Y. T. Kuo, C. J. Maggiore, B. M.
Preedom, Phys. Rev. 96(1972)

89

Hu69
Ka64

Ka67

Ku7l ‘

Li67
La64

-Ma69

Mc70

Mu70

M060

Pe65

Ra70

Sc7l

Sc71a

Si69

St70
Wa65

Zu68

Zu68

90

T. A. Hughes, Phys. Rev. 181(1969)1586.
A. Kallio and K. Kolltveit, Nucl. Phys. 53(1964)87.

C. D. Kavaloski, J. J. Tilley, D. C. Shreve and
N. Stern, Phys. Rev. 161(1967)1107.

T. T. Kuo, Thesis Unpublished.

E. P. Lippincott, A. M. Bernstein, Phys. Rev. 163
(l967)ll70.

A. M. Lane, Nuclear Theory (New York:
Inc., 1964).

W. A. Benjamin,

 

.Proc. Inter. School of Physics 49(1969)457.

J. B. McGrory, B. H. Wildenthal and E. C. Halbert,
Phys. Rev. 92(1970)186.

Murphy and Ritter, Bull. Am. Phys. Soc. 15(1970)483.

S. Moszkowski and B. Scott, Annals of Phys. 11(1960)
65.

R. J. Peterson, Phys. Rev. 140(1965)Bl479.

R. C. Ragaini, J. D. Knight, W. T. Leland, Phys.
Rev. 2(1970)C1020.

R. Schaeffer, F. Petrovich, Phys. Rev. Letts. 36
(1971)1380.

R. Schaeffer, Private communication.

I. Sick, E. B. Hughes, T. W. Donnelly, J. D. Walecka,
G. E. Walker, Phys. Rev. Letters 23(1969)1117.

Stroetzel, Goldmann,
Walecka, et a1., Nucl. Phys. 61(1965)1.

A. P. Zuker, B. Buck, J. B. McGrory, Phys. Rev.
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A. P. Zuker, B. Buck and J. B. McGrory, Phys. Rev.

Letts. 21(1968)39.

APPENDIX A

RPA PHASE CONVENTIONS
AND

TRANSITION FORMULAS

91

92

Part a) Iso-Spin Independent

Part b) with Iso-spin Formalism

l. Particle-Hole Creation Operator

h-m
. + —l _ X _ h
a) A (ph ,JM) — <pmph mhlJM>apma hm (- 1)
m m. p h
pn
b) A+( h-l JMT ) = Z < m h-m |JM><Pt L—t IT >a+
. p ’ MT m p p h 2 p2 h MT pm hmh
pmh - %t %t
h-mh+15-th p h
. x(-l)
2. RPA Basis Vector
a) Q+JM(n) =2 [x3 (ph)A (ph 1,JM>-(-1)J‘MY3(ph)A(ph‘l,JM)1

ph

b) Q+JM (n) = 2 [x3 T<ph>A+(ph'1,JMTMT>-<-1)J+T‘M‘MT

TMT ph
YnT(ph)A(ph-1,JMTMT)]

3. RPA Matrices

-1 -1 -l —l
a) <ph ,JlAlp'h' ,J> = (e p— Eh)6pp 6hh,+<ph ,lelp'h' ,J>
<ph-1,J|B|p'h'-1,J> = (-l)p+h+J+l<ph-1,JIV[hp—1,J>
-1 . .-l _ ' -l
b) <ph ,JTJAlp h ,JT> — (e )6 6 +<ph ,JTIVI

p-eh pp' hh'

p'h'-1,JT>

93

l

<ph- ,JTlBlp'h'- ,JT> = (_l)p+h+J+T+l "l

<ph ,JTIV]

4. Transitions

The phase relation between the X and Y amplitudes is
a) x + (-1)JY
b) x + (-1)J+T

5. Single Particle Transition Operators

M(EJ, M): Ze(%- t z(k))rkY JM(52k)
M(MJ, M)=% c/J(2J+l) Z rJ 1[(g 29 (Y s)
kk s 3"I J-1

292 .
+ J¥I(YJ-13)](J~1,1)JM

6. Centroid Energies, Dispersions and Sum Rule Formulas

 

 

 

, - 2
_ 1 2ti(Ei-E)
E = .tiEi AB = i ‘
1 .ZZt.
t. i 1
i1

APPENDIX B

MONOPOLE SHIFT

94

95

Equivelence between the monOpole term and a single

.particle moving in a spherical potental

. . -l . . '1 . .-l
(3132 Ileljljz IJ> = E<3132 IJIVL(rlIr2)CL(l)'

. .-l
CL(2)lJl]2 ,J>

ignoring exchange terms

= z(-l) j j W(j j j j ;JL)M. . M. . I
L l 2 l 2 l 2 3131 3232 l
where
L . .
M. . = < C 1 >

_ * . * . . . 3 3
and IL - I¢ (ll)¢ (32)vL(rl.r2)¢(Jl).¢(32)d rld r2

therefore
a; . = %M9 . MP . IL
3132 L 3131 3232

the monopole componant is

o _ o 0

* . 3
' ' — o o a u I = I = . U . d
“3132 3131 3232 O o f¢ (31) (rl)¢(31) r1

* . . 2 . .
where U(rl) — f¢ (32)vo(rl,r2)¢(32)d r2 and 18 spherical.

96

2. Symmetry Energy

The symmetry energy is the difference between neutron
land proton energies where the Coulomb energy has been added
to the neutron energy.

E = e + A - e
s n p

X x

— ...—.4816 “E 'T If {V ...—2&1
eh-Eo A 1:11).1 —€oA

 

O
X
= Md]
sp A + so + 4 X—< ltp TA

6 2T

= A + 60 + 4A1[2TO$1<(%, T 00)T -4, T o-ssltp ~T Al(%, T o)T- a, T O-%>

+ ETEII<<%,TO)TO+%,TO-%lEp-TAI(5TO)TO+%,TO-%>J
X

 

upon resolvingl . into state of good TA i.e. T i%
26
l

= A +760 ‘ ‘K‘To

The symmetry energy is therefore

97
3. N=Z nucleus (TO#O) T=l excitation

- -——- °T |A> <A+llt ~T |A+1> A
8A EA+1 ' A -1 p A 3

where IA> is a T=l state

 

 

 

A O
1T+E I = I
. P
461 el
eA-EA+1 = 53—42-3/4-3/4-3/4-3/4) = X-
_'l . ,
4. N¢Z pp excrtation
28
e = e - —l(T +3/2)
,__. A o A o
X
0 . 281
eA+l a 8o - A (To+l)
E”EA+1 z El/A
5. N#Z, T=O excitation
X X
IA) = LHO +1 01>
/§ .
.€A+l = %(Ep+€n)
X X
- + ffl<[f:] E T [1:]; T -T +§
en - eo ’ A I Al A+1— o

98
X x
- + 31:31? ‘T’ Hi}
€p _ 6o A . A
expanding with Clebsch-Gordon coefficients

1:3:]>= 2T: +1 ITO a, To %>+ 1+1|Tozcro’“li'To;5>

ll
0)

Therefore €A+l 0

EA evaluation

2To
lfl’ = WITO * T015>+ '2T—::I'To "“5 T 0"?

The expansion of lA> in terms of states of good T is therefore

‘ 2T
|A> = -}-I (lair +p>T >- L\I:I MT -is)T >
/7 o 0 V5 2TO+1 o 0

.then

8A = 6o - 3;;
and

e _ a _ _BEI

99

6. N#Z nucleus
T=l excitation coupled to To to form a state of
To, i.e. (1T0) 0. Expand |A> by using 6-J symbols in a

baSis of lA-l> states coupled to a good T.

 

 

i.e.
A): l(tt)lT 'T>=\/§2V2T+I {15 1} It (tT)T°T>
p h o’ o T To TO I p h o ’ o
h T — T
w ere T - A-l
'therefore
- +5.1“: .T 1»
EA ‘leo A p A-l
261 2 T0 TO 1 2
= so + _X—{T0(To+l)-3/4-3 T(2T+l) {% % T} T(T+l)]
To+l
for T = T -%, 6-J =
o 6To(2To+l)
To
T = To““ 6'J = 6(T +1)(2T +1)
0 o
and
e
_ _ 1
EA - 8o X—
€A+l = so see N#Z, T=O eXC1tation
therefore
a
— _ _l
8A €A+1 ‘ A

‘APPENDIX C

SINGLE PARTICLE IDENTIFICATION CODE

lOO

TABLE C.l.--Single Particle Identification Code.

101

 

l

10
ll
12
l3
14
15
16

17

~°S1/2

Op3/2
0p1/2
Dds/2

181/2

18

19

20

21

22

'23

24

25

26

27

28

29

3O

31

32

33

34

35

9/2
0i13/2
2p3/2
lf
2p1/2

lg9/2

Oi11/2

OJ15/2

2d5/2

lg7/2

351/2

3/2

lh11/2

0k17/2
°j13/2

7/2

1h

0£19/2

 

APPEND IX D

.ENERGY AND TRANSITION SUMMARY

102

103

This appendix consists of four sections, summariz-

ing the theoretical calculations.

1. Summary of O

2. Summary of Ca

3. Summary of Ca

’4. Summary of Sr

16

-Each section consists of several columns, where

each column represents a specific interaction and approxi-

mation, the headings of which are found before each of the

sections of Appendix D.

Each entry in a column consists of four lines:

line 1 -- Transition rate of that state to the

ground state.

line 2 -- Transition rate of that state to the

ground state where the state consists

soley of its major configuration.

line 3 -- Major p-h configuration of that state

(see Appendix C).

comma is

l
2
3
4
5

-1
PP

-l
nn
T=0
T=l

T=l

If last number after

excitation
excitation
excitation
excitation

excitation

line 4 -- Energy of that state.

104

 

 

 

TABLE D.l.--
Column
a I OlG-TDA K-K
b 016-TDA K-K M.S.
C - 016-TDA K-K M.S. E.M. Off.
d OlG-RPA K-K
e 016-RPA K-K M.S.
f 016-RPA K-K M.S. 65% Strength
g 016-TDA Sussex
h 016—TDA Sussex M.S.
i ' 016—RPA Sussex
j 016-RPA Sussex M.S.

 

 

105

 

 

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m.fl x: 0.0 \o m.« \a m.« \a m.“ \: ms" \e man \o m." \o m.« \c m.« \c
an was." on mnn. do boa.“ «o mm:.« no one.“ no one.“ no nos." «0 mm:.« no one." «0 was.”

. mm:.~ on own. so mus.“ on o:n.m fin “.3.“ no one.“ so won.“ «n was.“ no uo¢.« no umm.~ on

110

 

 

TABLE D.2.--
Column
a Ca4o-TDA K—K
b Ca4O-TDA K-K M.S.
c Ca4O-RPA K-K
d Ca40-RPA K-K M.S.
e Ca40-RPA K—K M.S. 65% Strength
f Ca4O-TDA Sussex
40
g Ca -TDA Sussex M.S.
h Ca40-RPA Sussex
. 4O
1 Ca -RPA Sussex M.S.

 

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onm.nn
m.o xxx
no.mm..x

no uxc.a

oom.nfl

nxa x~«
on one.”
no uoo.~

«mm.w«

ch xau
«o mom."
on msx.o

mam.oa
nxm xnx

on won.“
no one."

own-Mn

Mxo xxx
on m:m.~
«o unn.~

no«.nn

m.o xmx
mo.mmc.o
oo.onx.o

nmm.x~

mx: xxx
no omx.~
no mox.~

omm.mn
mxc xmu

on oom.~

no on~.~

xom.ox
mxm xmu

no umm.o

no umo.c

mmu.:«

m.» xmn
«nummo.x
mouuxm.o

on

on

on

on

on

ow

ON

ON

ON

1221

 

mao.n«
m.: \«a

mo won.c

mo mmm.n

n¢m.m"
m‘m \a#

mo ox~.o

mo mmo.»

nmm.fin

m‘o \a«
no new.“
no u:o.n

mmfi.~“

mso \ma
mo u:H.m
mo wnm.m

www.m—

ms: \mn
«0 wH4.m
mo ww«.«

mm¢.ma

m.¢ \fia
mo mam.“
ao mnm.:

mmm.cfl
m.m \mfi
do mom.m

mo mmn."

mam.mn
msw \HH

mo m54.d.

do mm¢.~

ofio.mfi
m\o \mn

oo mmn.c
“0 was."

mom.wfl

m.c \«a
mo mmu.c
mo mmm.m

nno.mfl

m.m \flfi
mo mmn.o
:0 “mo.“

:4m.mfi

msc \«u
mo wow.”
mo who.“

moo.m«

m.o \md
mo m4“.m
mo mom.“

0mm.md

m‘¢ \N«
do mfi:.m
«o wmm.m

.um.m”

9‘: \««
mo mow."
no mum.:

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m.w \N«
do wmm.m
“o umm.n

nmm.:fi

m‘o \an
«o mna.fi
do Moo.m

nmm.m~

m.o \N#
no mm«.:
Ho mom."

mmo.n«
m~¢ \na

mo.umn.c

mu uau.n

"um.mfl

n‘m \HH
mo own.o
mo m:m.n

mom.afi

M.O \a«
mo max.“
mo m:a.o

noaoafi

m.o \mfi
mu wafi.m
mo mam.m

mmo.ma
m.: \m«
“o waa.m

mo m:m.n

m::.m«
m‘w \fifl

mu mflfi.u
do wom.n

noméfl
m.m \w«
on wcm.n

mo was.“

www.mu

m.o \«n
no mn¢.d
no mxm.w

"mo.mfi

n.o \m"
oo umd.:
no “mo.“

www.mu

r.: x“—
mo mmn.¢
mn uhm.w

mrnoma

m.m \a«
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mo mom.o

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v.0 \“u
mp mow.“

.mh “mm.w

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m.o \m“

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:4momn
m‘: \ma

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mnm.mfl
w.¢ x",

mo uflfi.“
Ho mmo.m

«0 mn:."
on m-.:

mmn.mfl

m.o \ma
Ao mmfl.e
go wow.“

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m.m \«m
mu mwh.o
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m.o \«n
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m0 mm«.o

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a.: \mu
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«.0 \un

00 uma.¢

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m.a \«a
no mms.c
mo usm.c

am:.m«

m~m \nu
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sca.nn

m~o \N«
no m:a.m
mo omn.m

moo-«u

m.o \an
no mew.“
:0 mmn.n

mmoomu
m.: \N«
do ma:.~
do mom.o

momovn
m.: \ag

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«mm.c«

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o:m.m«

m~o \HH
wo mn:.u
no mmw.o

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m.o \«d
no umu.o
no uw~..

:un.a«

m.m \«a
no oa~.o
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m‘o \«u

no mom."
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m‘a \m—
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do um«.o

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m‘: \u«

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w.m \N«
"a uwm.m

mu mam.”

mum.4«
m.o \"a

mo “5:.“
no mm«.m

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msw \mu

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00 man.—

cam.ou

m.¢ \«u
no umhot
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mn:.mu

m.m \«n
no om~.o
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nod.a~

m.o \N«
no m¢«.m
mo mam.m

mno.««

mso \«a
no mom.“
:0 “moon

cmoown

m.: \m«
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mmmcmn
m.: \«a

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m~c \md
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00 “50.6

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as: \«u
no umn.c
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no man.»

mmm.md

n.o \N«
no mcu.m
No mnn.o

mm:.-

m~o \«a
mo own.“
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m.¢ \m«
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no mac.o

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90

o:

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00

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m:m.m~
m~: \Na

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no mmo.m

o«:.m«
m.a \fld

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:mm.o«

n‘m \flfi
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mo mmn.m

~o~.m«

m.e \mfl
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m:o.m«

m.c \flfi

mo mom.fi
do mam.m

memos"

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mo who."
mo won.“

cam.wu
m.c \«u

no mmo.n
:o onn.m

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m.m \«u
no m:h.m
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mon.m«

m~o \«a
mo mmw.m
mo mmn.s

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m.: \mu
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mkm.md.

m.: \«n
m0 ucn.¢
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mom.o« ‘
m.m \a«
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m.c \No
no m4“.m
mu won.:

oom.m"

m~o \«a
mo mom.d
mo omn.m

mmaomu
ms: \mfi

m0 whmou

mo Mme."

«mnohu

.m~c \«u
no Mao.“
:o mmm.«

nom.¢d
m.m \«n

no m:n.m

mu wan.“

QMuoud

m.o \«a
mu mmm.m
no omm.d

Swima
m.c \N«

no mum.“

mo m4m.m

omcomd
m.: \«n

c mmh.:
mo mom.

nom.od

m‘m \«a
mo own.o
mo om0.m

ooh.nu

m.o \«a
mo u:~.m
mo umo.m

:mo.n~

mso \u«
no mom.“
«0 umm.m

whm.nfl
mg: \md
ma ohm.“

mo who.“

Nwmowa

m.: \u«
no MOO-h
:o mmn.m

on:.on

m.m \«u
mo u:s.m
mo omm.~

un~.mfl

m.o \H"
mo www.m
no mam.u

momofiu

m.: \No
no ohm."
mo m««.m

mmm.m~

m.: \an
MC mmho4
mo m:m.4

M“ .0“

m‘m \dd
mo mmn.o
mo w«m.m

nom.mu

m‘o \m"
"0 m:H.n
mo “55.:

mom.mfi

m.o \a«
mo mow."
mo mow.m

:Omoma
m~c \ma
mo mum."

mo woo.“

omm.s«

m.o \a«.

mo mmo.n
:o mm~.m

mutoeu
m.m \Ha

mo m:n.n

mo um4.n

mo:.«a
m~o \«u

mo mmm.m

mo mom.“

me:.ma
m.: \N«

no mum.“

mo mom.“

oomomn
m~¢ \"u

mo umn.e

no umm.o

m«m.cfl

m.m \n«
no mmn.o
mo mm:.m

m0 w3fi.m
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msc \an
no new.“
no mm:.~

:cmrhd
m.: \m«

m0 mun.“

no one."

neu.nu
n.¢ \un

no mmo.s
:o mfio.~

nsm.4a
m~m \«n

no msn.m

mo mmm.m

m:#oafi

m.o \a«
mo wmw.m
no mm“.m

«anomu

m~: \N«
no onm.«
no umm.m

mn~.m«
m.: x"«

no umu.¢

no mam.:

oomocu
m.m \«a

no mmn.o

no pam.m

muw.Mu

m.o \N«
no “3n.m
mo um:.m

mmo.m~

m.o \«a
mo woo.“
mo moa.m

mmm.n~
m.: \N«

no who.“

no mam.“

oom.o«

m~c \«a
no moo.s
:0 wmm.o

#:homu
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mo m:n.m
:0 mmn.:

Gomomu

m.» \«a
mo mmm.m
mo “ouch

osm.m«

m~¢ \ma
no ohm.“
no mmm.~

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ms: \«fi

mo uo~.e

no moo-n

mom.o«
w~m \«a

mo mmn.o

mo mmm.~

oHo.¢«

m.o \N«
no m4a.m
mo mmo.w

ma:.m«

m.o \«a
no wow.“
00 mnm.o

omn.wa
m.: \N«

no who.“

no umo.~

m.s.n«

n.o \u«
no umOoh
:o mmm.~

omm.au

m.m \««
no u.~.m
mo oam.n

om:.na

m.o \a«
mo umw.m
mo u¢«.~

mom.mn

m.¢ \N«
no who.“
mo wo~.m

www.ma
m.: \«u

mo was.»

no umm.o

mom.o«

mom \«u
no uuh.o
mo wwmom

mdm.md

m.o \N«
no u4n.m
no mam.~

mo«.m«

m.o \«u
no moo.“
mo mum.“

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m.c \md

mo who.“

no um..u

~5m.nn
n~c \«u

no mmo.n

co umn.o

“whom“
n~m \«u

no o.n.m

so mon.c

mom-NH

m~o \a«
mo mmo.~
mo umm.u

mnm.mn
ms: \N«

no who.“

no uon.m

oom.m«
ms: \u«

no mmn.c

no m:m.m

nom.on
m~m \«a

no ww~.o

no wmo.m

maoocu
m.o \mu

mo m:«.n

mo mmm.m

:m:.n«
m~o \«u

no wow."

00 m-.n

m:how«
ms: \Nu
no mun.”

mo.mcoow

on

on

on

0o

9c

9o

90

90

1223

:mo.m«

m‘a \du
00 woo."
co mum."

www.ma
m‘o \dfi

eo mmm.m

on omo.m

mn:.~d

m.: \fifi
co mos.“
co mam.“

:mn.od
m.c \flfi
co mmx.m

co ufim.m

ohm.mfi

m~: \m"
mo mun.fi
mo mom.m

3L0 I!)

0 0mm

mm 3 0

\‘JQ‘

Cu 0! \H
'4

LLHH

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m~m \fln

mo o¢c.fi

mo um¢.m

w~u.m~

m‘o \n«.

:0 wnm.m

:0 was."

:mm.mn
m.: \mfi

mo omm.m
so mom.“

omm.mn
m.: \«a
mo wo;."
:o mmm.m

:am.m"

m.o \«fi
00 mmm.m
co mon.a

“on.m~

m‘: \on
mo oo¢.H
oo omfi.m

mmm.mu

m.o \«n
00 mmm.m
mo uaa.o

ada.ma .
m.: \mn
mo woo.“
mo omm.~

0m .0H
m.: \fl“

mu mom.“
Houumm.h

mo oco.m
:o mom.4

wmo.m«

m~c \«d
on mm¢.u
co uflm.«

Hom.m«
m.o \Hfl

on umw.m

co mao.m

Whiohfl

m.a \«a
co on:.«
no mom.“

mmm.o

m‘c \«a
on mmm.m
on mcm.:

29mfl
m.: \m«

on own.«.

mu mom.m

mmnéH
m.a \fia
mo omm.fi
:v mn:.m

u:n.¢«

m~m \flfl
rc wswoa
m: mmw.m

n.: \Mn
mo mmw.m
:0 who.“

omn.mu

mg: \«u
on woe.“
co mum.~

mom.m«

m.c \«a
on mmm.m
wo awn.“

om~.m«

m.a \«a
we wmaou
wo omfl.m

oom.m~

m.o \«a
mo mmm.m
o0 wmo.m

wa:.mn

m.¢ \Na
m0 moo.a
Mo mmw.m

uC mtcoa
on m:m.a

mo:.mfl

m~c \aw
40 ammom
:0 ur—.«

.hn.om

«.4 \m"
no acvon
:0 mm:.:

mom.wa

ms: \«u
no um:.a
co wmfi.«

mn:.m~

m~o \u«
00 mmw.m
no ooe.m

:mn.hn
m~¢ \«a

no mo:.«

co mom.“

omw.ofi

m.o \«a
on omm.m
oo umm.m

000.0”
m.a \md

mo mon.u

mo omm.fl

nmm.afi

as: \H«
o mam.“
-o umm.«

fill)

oaa.efi
m‘m \uu

nu m:o.a

mu mam.m

nou.m«
m.o \“n
:u unm.m
Jo mmm.«

mmm.w«

m.: \«n
no mm..«
we own.“

mm:.mn
m.o \«n

co “mm.m

oo who.m

nm«.na
m.: \«d

co woo.“

co m4n.«

5mm.o«

m~o \«u
no wmm.m
co mmm.m

moo.m«

m.: \m«
mo woo."
we was."

mam.mfl

m.: \a«
mo mam.a
mo wmm.a

mwn.o~

m~m \a.
go o:o.«
mo ohm.~

mmm.m«
m~c \a«
:o mum.m
:0 m¢o.~

mom.m«
m.c \ma

M0 mooon

:0 won."

~o«.mn
m~c \«n

on um:.u

mo mom.m

mafimfl
m.o \««

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co o4“.m

o4m.wa

m.: \«fi
co mm4.fl
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4mm.~«

m.o \«o
no omm.m
no umo.o

:nm.ofl
m‘m \«n

mo o’c."

mo umm.~

www.mw

wmm.mu
m‘a \mu

mo om¢.n

:L wmmom

mmm.o«

m.: \«a
oo.uo:.«
co “Ho.“

mmc.m«

m.o \na
co mmm.n
on who.~

Camoha

m~4 \«a
co ~03.“
co owe.“

mmw.oa

m.o \«g
no wmm.m
«o uno.m

non.md
ms: \mu
m0 wwOon

0 www.«

mmm.m«

m.a \a«
mo “mm."
mm wee.“

.mo.cfl.
m.m \dfi
mo mac."

mo who.m

«:m.~«_
m.m \"a
:0 mum.m
:0 mm".«

««m.m«
m.: \w«

mu umo.n
eo mom."

mo«.ma
m.: x“—
oo out.“

mo u«o.o,

mah.m«
mso \«u
no mmm.m

oo mmn.~

www.mfl

m.: \«u
cu mm:.«
0o mom.~

:ao.ma

m~o \«n
co mmm.m
oo moo.m

o~u.o~

m~a \Na
mo moo."
mo mam.“

mom.m«

m~¢ \«u
mu wmm."
mo mmo.n

mom.od
m~m \«d

mo m¢o.u

mo umo.~

~am.m«

m~o \«a
:o wom.m
mo mmo.o

«cm.m~

n.. \m«
mu woo.n
:o mco.m

co

90

90

90

om

on

on

om

om

124

 

ofl«.m~
m.: \u«
no mooom

mo umo.m.

omm.ofl

m.c \fl"
00 wmm.w
so omo.m

ms: \fla
mo mo:.m
mo umm.m

mfin.mu

m~¢ \ad
o0 mom.o
no moo.m

n”«.m«

m~. \«u
no uo¢.~
mo umoJN.

omo.hfl

m.; \«a
co.mmm.o
no mmm.¢

osmonn

m.o \on
no uoo.~
mo won.~

omn.mu

m.: \H«
on wow.»
so mmo.m

owm.m«

m.: \u«
no uoc.~
oo mod.~

moo.h«

m.a \aa
00 mom.»
no mum.n

mnn.m«

moo \«u
mo wc¢.m
mo moo.m

nom.n«
m~4 \«n

oo umm.o

so umo.m

mon.md

mo: \«u
no moa.~
no own.“

manomn
no: \««

cu umm.o
mo woo.“

unnoma

m.¢ \"H
no uoa.~
mo om«.~

oom.n"
m.o \«o
co ummon

no uom.n.

o ouchuo

mason“
ms: \«n

no uoo.~

mo Mme.”

“moon“

no: \«n
co mmw.»
oo moo.”

on

or

125

 

 

TABLE D.3.--
Column
a Ca48-TDA K-K
b Ca48-TDA K-K M.S.
c Ca48-TDA Sussex
d Ca48-TDA Sussex M.S.
e Ca48-RPA K-K M.S. 65% Strength

 

126

 

a b c d e

E? 3-8aE-c1 3-33£-01 6.295-01 4.59E-01 5.355-01
OOOE OO OCOE.CC OCOE 00 0005 00 30865 0C

11/ 7:2 11/ 7:2 11/ 7:? 11/ 7:2 7/ 4:1
120150 11o216 12-335 11.299 100066

1- 1.89E-C4 1093E-C3 1.935-33 #.35E-33 4.65E-Cl
SoBZE-ci 5-37E-cl 5-37E-31 bo37E'01 ocOE CO

8/ 513 8/ 5:3 8/ 5:3 8/ 513‘ 11/ 712
70192 60293 70133 50974 100567
1- 3;aaE-c3 2.495-c3 4.975-34 1.155-04 4.53E-03
3.86E-c1 3086E-c1 3.855-01 3.85E-o1 5.37E-c1

8/ 4:3 8/ 4.3 8/ 4.3 8/ 4:3 8/ 5,3
7-548 6-539 7.971 5.652 6.827
1? 2.33E-c3 3.99E-cs 8.43E-03 3.2xE-oa 7.735-03
40295-02 4'295-02 “-295-32 u-esE-oa 4029E-02

8/ 613 5/ 6'3 8/ 6:3 8/ 6‘3 5/ 613
100341 90234 13.771 9.525 7.325

1- 3.27E-c2 1.695-0“ 2.225-02 3.075-03 1.335-02
2.685-01 10355 co 2.685-01 zoéaE-o1 2.58E-o1

13/ 5‘3 9/ 6'3 C/ 513 10/ 5'3 10/ 5:3
110171 00578 13.376 12.325 9.845

1‘ SOC7E.02 1059E'CZ 1094E DO 1043E'C2 loééE'CE
1.35E cc. aceBE-ci 3-86E'01 BobeE-ca 1-355 00

9/ 613 10/ 5:3 5/ 413 9/ 413 9/ 6;3
110642 110629 1&019? 170377 100358

1- 3.2“E-02 6o24E-02 1.335-02 1.33E-O? 1.29E-Cl
9.66E-oa 9.665-02 9-66E-32 3.43E-og 9.6oE-c2

9/ 4:3 9/ #13 9/ “:3 8/ 614 9/ #13
15.579 15-u9c 18.639 8-248 zuofice

1' 5076E‘CB 3°59E'03 BOCQF'CE 2032E'03 loCSE‘éE
30435'02 3'43E'02 30h3E-02 4029E'01 3°43E'02

8/ 6'4 8/ 614 8/ ban 8/ Ban 9/ 6:4

9.237 8.138 9.334 3-847 8.297

1- 1.08E-CB 5.28E-03 7.34E-02 3.535-01 5.13E-C3
4-29E-01 “-29E-31 4.295-01 1-725-01 4-295-31

8/ 5:4 8/ 5:4 a/ 5,4 10/ 6:4 9/ 5,4

13-171 90605 10-111 3.165 8.723

1-

1.

2023E'01

1-72E-o1

10/ 614
110384

8035E'C3
1072E'Cl
10/ 614

120825

2007E’C2
EoISE'Cl
O/ 514

13'171

2016E'01

3-095-01

8/ #14
130913

2088E CC
3'O9E'C1
8/ 414
150328

9005E'Cl

7073E'CZ

9/ 414
17-741

50ClE-01

2048E OC
7/ 611

60bk9

20495 CO
30935 CO
7/ #11

100230

1012E CO
S026E'C1
11/ 712

80547

7-11E-03

20155-01

10/ 504
90987

10855'01
10725'01
10/ 6:4

10.87“

10915-C3

1072E'01

10/ 614
110882

2.575-01
3.095-01
8/ #04

12-736

2.97E CG
3°09E-01
8/ 4:4
14'111

9017E'Cl
7073t-02
9/ 404

16025“

4055E'Cl

2048E cc
7/ 611

50667

2'66E cc
5026E'C1
11/ 712

7077?

108CE'02
8027E-05
8/ 613

80655

127

3066E-01

1'725'01

10/ 614
110186

1084E'22
E015F-01
13/ 50h

110768

303SE'C1

10CSE 00

9/ 614
120690

1054E'31
3'C95'01
8/ 4:4

13:594

9044E'01
30095-01
8/ #14

15'114

2-325-01
7073E-02
9/ 414

170502

7035E'Cl
2°48E 00
7/ 611

60570

2-795 cc
3093E 0C
7/ 411

100251

9036E‘C1
S026C'01
11/ 70?

80831

2045E'02

BOISE-01

10/ 504
100527

30915’01
10085 DC
9/ 6:4

11-635

1091E'01
3.095-01
8/ #04

12-555

1093E CC

.1072E'01

10/ 610
130090

1014E OO
3-095-01
8/ 414

13-966

20555'01
70735.02
9/ 4:#

15'116

8013E'01

20#9E OS

7/ 6:1
80Q6C

“093F OC
3093E CC
7/ #11

90797

20015'01
50265'01
11/ 7'2

70601

5093E'06

3043E-02

8/ 6)#
90167

1024E‘C3

1-725‘01

1C/ 61#
110459

7081E'33

BOISE-C1

lC/ 5:4
110674

904EE'C1

1‘085 00

9/ 614
120264

1087E CC
3'O9E'Ol
8/ 414

13-106

4-74E-01
7.73E-c2
9/ 414

15099

7011E-Cl
2048E CC
7/ 6:1

50h63

10585 CC
3093E CO
7/ 4:1

90101

3033E-CE
5026E‘C1
11/ 712

80166

2.

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2.

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8027E'OS
8/ 613

80673

1075E'C1
1079E'C3
10K 6’3

100900

103OE'C1
701SE'CE
8/ 413

110893

3088E'C1
6014E'02
9/ 613

120105

1096E’01
0005 CO
9/ 513
120397

6013E'C2
'CCE CO
9/ 513
120b85

1.475 co
1-02E-CP

10/ “’3
140375

2089E'C1

4096E'O4

9/ 413
150985

10255 CO
1058E CC
8/ 514

90416

1044E 0C

6088E-02
8/ 513
90378

7'97E'Cl
1079E'C3
lC/ 613

10115

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1087E'Cl
6014E’CB
9/ 613

120229

7.26E-Cl
70156.02
8/ 413
120707

10345 0C

1-02E-o2

10/ 413
130215

1041E-Cl
4096E-c4
9/ 413

140801

3096E'04

6.26E-02
8/ 614
70:15

7059E'01
1059E CC
8/ 514

3'C73

128

7-ccE-c4

8'27E-QS

8/ 613
80604

80C9E‘C1

10795-03

C/ 613
10-561

2086E 93
6-88E-02
8/ 513

130992

2047E'C1
6014E'C2
9/ 613

110171

1041E'01
oooE 00
9/ 513
120967

11315 CO
4096E-c4
9/ 413

150608

50985‘01
1-02E-02
10/ 413

160753

1.825 CO
10586 00
8/ 514

90211

1032E'02

boPéE'CE
3/ 614

90714

80565'01
80275'05
8/ 613

70213

3024E'C1
61885‘02
8/ 513

90123

6053E‘C3
1079E'O3
10/ 613

90481

40195.01
60145’02
9/ 613

100160

1.10E-01
cCCE OC
9/ 513
110770

5075F'Cl
1'025'02
10/ 413

130060

1027E'02
4096E'04
9/ 413

140480

7014E’C1
l'OZE'OB
IC/ 413

150394

2.45E co
1059E CC
8/ 514

70741

1-675-03
8027E'05
8/ 613

7.557

60705.3?

1°79E'C3

1C/ 613
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1.815-01
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5/ 413

10.739

7015E-CE
oCOE Cc
9/ 513
110231

loC4E CC
l'OEE'CE
18/ 413

120977

1077E'C1
#0965'C4
9/ 413

140543

30“8E CO
1055 CC
8/ 514

70535

10226.62
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8/ 614

80709

30275 CC
l'SRE CC
5/ 514

90560

2-

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9097E‘C4
60265'02
8/ 614

90604

2.355 CO
1058E CO
8/ 514

11°CC2

10315 CD
0005 CC
9/ 514

110526

1057E‘C1
604OE'C2
9/ 614

130375

70905'01
60915‘01
8/ 414

130624

4.18E-c1
3076E'C1
9/ 414

150558

10“8€ CO
5023E'C1
10/ 414

160623

1.27E C3

40745 C2

7/ 511
30941

2'27E'C1

1042E C?
7/ 611

50618

1061E CC
604CE'O?
9/ 614

90776

4077E'C1

80345-03

10/ 614
90856

1o57E CC
.005 CO
9/ 514
100330

5093E'O?
60915'01
8/ 414

100763

1-39E-ol
8034E-03
10/ 614

110627

80195.01
3076E'01
9/ 414

140182

103PE CC
50235'01
10/ 414

150454

1028E 33
4074C 02
7/ 511

30141

3013E CC

104?E “P

7/ 611
40787

129

3034E-cl
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9/ 514
110674

3015E'C2
OCOE CC
9/ 514
1109C4

7o39E-62

8034E'03

13/ 614
120?32

9-87E-0?
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9/ 614

12'341

loooE oo
6091E'01
8/ 414

130875

6152E-31
5-23E-01
10/ 414

141384

1048E'Ol
3076E'31
9/ 414

150835

10235 33
40745 32
7/ 511

40633

7084E'O4
104PE C
7/ 611

50829

30365'02
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8/ 6‘4

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30595.01
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9/ 514

13-546

4o4oE-c_
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9/ 514
10-721

10015'01

80345'03

10/ 614
11.138

1009E'O6
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9/ 614

11‘229

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61915-01
8/ 414

120669

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3076E'Ol
9/ 414

140265

1025E C,3
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7/ 5‘1

30686

1037K 01
10425 03
7/ 611

41826

4084E'O1

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9/ 614
100287

3015E-Cl
000E CC
9/ 514
100866

3019E'C4
8'34E'C3
10/ 614

110413

1095E-Cl

604OE'CE

9/ 614
110353

6-20E'01
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8/ 414
12.507

4197E'31
3176E-c1
9/ 414

14.376

9.1eE-c1
5-236-31
lC/ 414

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20165 C3
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7/ 511

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10425 C?
7/ 611

40571

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7/ 511

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9064E'C2
10335 C2
81 613

8.358

5099E Cl
1023E CE
9/ 613

11'013

3.94s 01
8085E O1

8/ 413
110584

1-18E c1
1078E CE
9/ 513

120272

5060E C1
10115 CE

10/ 413
130974

3039E 01
80545 01

9/ 413
150247

60135 CO
1-066 02
8/ 614

90621

3022E CB

1°05E 02
8/ 614

10.157

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90055 CC
1'33E OP
8/ 613

70394

706“E 01
80856 01
8/ 413

1C052C

1045E C1
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9/ 613

110?28

50C9E Cl
1011E C?
10/ 413

12.823

5.785 Cl
8054E 01
9/ 413

140C71

605“E'01
8054E 01
9/ 413

140431

10665 01
10C6E 02
8/ 614

80611

130

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7/ 411

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9.51? ?0
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11/ 71?

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8/ 613

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6031E DO

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9/ 513
110664

1-PZE 31
1'28E 92
9/ 613

120393

60825 91

1011E 02

10/ “13
140371

8066E C
8054E C
9/ 413

160197

1
1

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000E OO
11/ 712
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3.43i 02
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11/ 7'2
90151

6029E C1
1033E 32
3/ 6'3

60453

1063E DC
10785 02
9/ 5'3

100466

1.84E oc
1028E 02
9/ 613

11-511

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8/ 413

120563

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1-11€ o?
10/ 413

130026

8084E 01
80545 01
9/ 413

14-901

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1'06E O?
8/ 614

30471

2055E Cl
1178E CE
9/ 513

100312

5-73E 31
80855 01
8/ 413

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1077E 01
1023E CE
9/ 613

11019?

4029i 01

1011E CE

13/ 413
120730

9080E C1
6°54E Cl
9/ 413
130945

b.50E SC
10C6E CE

5/ 614
8 .672

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9/ 504

110452

8094i CI

10425 C?

9/.514
120373

90355 01
7008E Cl
8/ 414

13-125

1072E'C1
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9/ #14

150715

3032E CE
8085E 01
10/ 414

160371

1-39E cc

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7/ 611
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1084E C3

2058E C3

7/ 511
60287

3-76E c3
2065E C3
7/ #01

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9/ 614

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8/ 404

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10/ 404
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1042E C1

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7/ 601
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7/ 501

50557

3°61? 03
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7/ 411

9.125

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11/ 712

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8/ 604

10'024

3.745 f1

l'CEE 32

9/ 604
110247

1-78E 32
7:385 01
8/ 4:4

120142

3.95E 30
1042E 32
9/ 50“

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60645 01
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9/ 414

150585

1-#1F 31
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7/ 6:1

50574

20085 03
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7/ 511

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7/ 411

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7-56E 02

11/ 7)?
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9/ 604

100208

1076E C2

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8/ 4:4
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20165 01
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9/ 514

110272

8010E CI

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9/ 4:4
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10285 02
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10/ 4:4

15.28?

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7/ 611

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7/ 501

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7/ 411

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300“? C1
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11/ 702

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1'325 02
I'OEE C2
9/ 604

90961

50C3E C1

1042E C2

9/ 50h
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9'69E C1
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8/ 404

120131

60765 CC
6083E Cl
9/ 414

14-344

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8085E C1

13/ #04
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3'38E Cl

QOFQE CE

7/ 6&1
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1087E C3

2'58E C3
7/ 501

50458

3-235 C3
2065E £3
7/ #11

30327

5031E Cl

7'56F C2

11/ 702
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8/ 413

120104

50365 01
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9/ 614,

110781

80695 01
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9/ 604

12'880

2.08E 03

2034E C3

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40575 CZ
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9/ 404

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2.24E 05
7/ 611

50037

6070E C“
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7/ 411

90398

10365 C1+

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11/ 712
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6077E 01
20965 CC

. 9/ 613

110857

1083E C3

1002E CE

8/ 413
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E074E’C1
9/ 4:3

1"289

60185 01
103RE 01
9/ 614

100526

1068E CB

203“E 03
8/ 40“

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9/ 404

130499

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7/ 601

40157

6008E C“

9061E ch

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8.677

1095E C“
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11/ 712
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132

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9/ 603

120633

1076E C3
10an c2
8/ 413

130978

90765 31
20745-01
9/ 403

150094

1028E 32
1038E cl
9/ 604

110263

10165 33
2034E c3
8/ 404

110984

10925 32
20c7E 02
9/ 404

150485

2091E C5

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7/ 601

50429

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7/ 401

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11/ 7:?
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9/ 603

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20ObE O3
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8/ #03

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9/ 403

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9/ 604

100238

10075 O3
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8/ 404

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1074E O?
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9/ 414

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7/ 611

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7/ 411

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2025E C4
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11/ 712
3.246

1033E O3
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8/ 403

100861

4'66E Cl

2096E CO
9/ 6:3
11061C

40695 C1
2'74E'Cl
9/ 403

140220

30405 Cl
10385 01
9/ 614

100443

20005 C3
20345 03
8/ 414

120687

305“E C2
20076 oz
9/ 494

130677

3031E C5

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7/ 601

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7/ 411

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11/ 712
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9/ 403

140379

8013E C4

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9/ 404
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7/ 411

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1'68E C6

11/ 702
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11/ 70?
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9/ 702

110037

3040E'Q1
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8/ 702
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9/ 712

90469

8094E 04
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9/ 403

130288

70525 C4
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9/ 414

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7/ 401

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1068E 06

11/ 7:2
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11/ 702
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11/ 702

80797

1+07“E DC
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9/ 7:2

100198

3066E'O1
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3.883

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9/ 712

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133

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9/ 413

140857

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9/ 4:4

150854

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7/ 401

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1015E 06

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11/ 702
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11/ 7:?
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11/ 702

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9/ 702

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8/.712

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9/ 712

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9/ 403
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9/ 4’4

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7/ 401

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11/ 702
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11/ 702
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11/ 702

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4074E CC
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9/ 702

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8/ 702

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9/ 7'2

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9/ 403

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9/ 404

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7/ 401

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11/ 702
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11/ 702

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11/ 702
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9/ 702

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8/ 702
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9/ 702

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11/ 403

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8/ 702

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10/ 702
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9/ 702
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11/ 603
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11/ 403
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4033E Cl

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11/ 604
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10““E 02

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11/ 404
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11/ 403
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11/ 404

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9°56E C1
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8/ 702
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1-c?E 32
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10/ 702

60675

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9/ 702

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11/ 603

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11/ 403

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1-23E 02

11/ 604
140678

1039E CE

9-29E Cl

YI/ 404
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11/ 403

150169

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2-34E 71

11/ 404
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8/ 702

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13/ 70?
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1072K 01
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9/ 702

90315

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11/ 603

130791

6098E Cl
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11/ 403

150849

90195 C0

3-csE so

11/ 603
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11/ 404
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10285 01
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11/ 403
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20345 U1
11/ 404

180584

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3/ 702

90289

101%E c?
1-08E o?
10/ 702

60609

1067F Cl
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9/ 702

80315

3.66E 01
3-019 cm
11/ 6:3

180411

9095E'02
1026F 01
11/ 403

140726

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1023E CE

11/ 604
140565

1094E Cl
40C7E C1
R/ 70?

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1C/ 70?
60570

2031E Cl
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9/ 70?
80391

2069E C1
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11/ 603

120231

4+

4+

4+

4+

4+

4+

4+

4+

4+

S030E 02
0005 CO
9/ 702

80833

3.255 03
7046E C3

11/ 503

120338

5072E 03
2005E C3
11/ 603

120777

7052E C3

50285 C3

11/ 403
140680

4067E C3
5028E 03

11/ 403
160157

3038E C?
1064E C3

11/ 604
15ooo9

90525 03
4022E_C3
11/ 404

180681

'90185 01

'CCE CC
8/ 702
40059

19735 C?
'CCE CC
1C/ 702

6'133

508“? C?
000E CC
9/ 702

70979

302“E C3
7046E c3
11/ 503

110271

4019E O?

E-OSE 03

11/ 603
110622

“-805 03
5029E 03
11/ 403

15'C96

5055E C3

1'64E c3

11/ 604
130786

2023? CE

5097E 03

11/ 504
130887

9051E C3
402?E c3
11/ 404

170561

135

1|45E 01
OCCE 0C
8/ 702

40913

3-55E r2
000E CC

9/ 70?

90C45

10195 03
7046E 03

11/ 503
120637

1014E Q3

2005E 03

11/ 603
130113

60035 02

2-05E 33

11/ 603
150147

303EE 03

5028K 03

11/ 403
160235

90795 C3

50975 C3

11/ 504
150276

10015 C“

4-225 c3

11/ 404
130344

1-62E 01
000E 03
8/ 702

u-lSl

D

C) o o
()P‘

y;

\C)\J
: C)“
o \jr‘v‘n
H.)~
NP)OO
0—4‘

4015K C2
oOCE OC
9/ 712

30033

1-47E a?
7046E 03
11/ 503

110434

1.33E 03
20C5E 03
11/ 603

11-730

3.105 03
50295 C3
11/ 403

150039

17071E C?

1064E O3

11/ 604
130310

9025K O3

5097? 03

11/ 504
140177

10035 0“
4.225 03
11/ 404

170731

1-o9E 02
.006 co
9/ 702

40171

4043B CE
'COE CC

9/ 702

80128

3015E C3

7046E C3

11/ 503
110355

5+

5+

5+

5*

5+

5+

5+

2046E‘C4

1.04E 05

8/ 70?
50292

1015E
9/ 70
803

3” I") F) (1
4'? (A)

.‘n

2.65E 34

30].“E 02

11/ 603
12-o71

E'COE CS
6032E C3
11/ 503

130187

8082E C4
7081E O3
11/ 403

16°163

9073E 02

3.08E 04

11/ 604
140917

6.44E C4
1045E CS

11/ 504
15-6EC

1.31E C5
1008E‘C5
11/ 404

19.33

2.595 C5
0005 CC

9/ 702

80580

3ICRE C3
4

3068i C
11/ 5'“
140936
1014E 35
locsE :5
11/ 404
180598

Bobs? d

(‘f‘ f‘
.'\.’\. ‘

9/ 702
80761

() U‘

1.23E 05
10455 35
11/ 5'4

14-51fi

loZCE C-
1~CKE CV
11/ 404

17o567

)‘ U‘

390:3E 05
OO?E OS
9/ 703

7.734

{P01

‘0‘
mm ()0
\0

{fl
o~qn1m
(0}

\1.‘

\ () 3..)
O

07 N) L) ."0

OKfl

UT

\1

 

6+

6+

6+

6+

7+

7+

5045E C6
3054E C6

11/ 604
140943

2095E 06

1-385 06

11/ 404
180543

60285 C7
90935 C6

11/ 403
16-243

1074E C8

2°27E c8

11/ 404
19.132

*ST8P0 0

90985 05
4042E 06
11/ 603

110399

1023E C6

10723 C6

11/ 403
14.733

5061E 06

30545 06

11/ 604
130792

2093E C6

1038E 06

11/ 404
170453

70119 07

2.275 08

11/ 404
15-170

1°66E 08
2027E c?
11/ 404

18.05C

137

50155 05

4042E 06

11/ 603
13'C93

10le $5

1072E 36

11/ 41?
16'C93

30395 C6
1072E c5

711/ 4.3

180857

5074E C6

3054E 06

11/ 604
150276

104SE 08
9093E 06
11/ 403'

19.119

9029E 77
2-975 08
11/ 404

160135

70005 05
4.425 06

_11/ 603

110677

6.445 c5

10753E. :6

11/ 403
14'91S

COCQE C6

3-54E 06

11/ 604
130995

3041E 06

1'3RE 06

11/ 404
170706

1056E 08
9093K 06

111/ 403

170947

5.17E 37
2027i 08
11/ 404

15035“

9086E 05

4-42E 06

11/ 603
11.459

1'71E C?

2°27E :8

11/ 404
170T17

138

 

 

TABLE D.4.--
Column
a Sr88-TDA K—K
c Sr88-RPA K-K M.S. 65% Strength
d Sr88-TDA Sussex
» 88
e Sr -TDA Sussex M.S.

 

 

a b c d e

1' 1-745'03 1-675-03 2.29E-33 3.81E-05 2.82E-35
OCOE CC 0005 OC 0CCE 33 0OCF QC 0CCE :0

14/1013 14/1002 14/1002 14/1002 14/100?

70257 60733 6.864 7.321 6.477

1' 2.89E-C2 2.5?L-C3 1014EOTE 303;E‘33 10‘9E'ul
0035 CC oCCF CC .335 :3 .OiE CC .Fca c;

15/1C03 05/1312 13/1302 05/1302 1‘/ic:?

5.;55 7.335 7.835 €.22? 8.35~

1' 2.:4E'33 loSEE-C‘ 2.735-32 5.335-39 ”.35.. a
1054i CO \'CCE CC 1054E :3 0033 QC 1054: CC

12/ 8:3 15/1002 12/ 803 13/1002 12/ &.3

.399 7.996 50978 ~~855 4.92;

1- 9.25E-C3 2.73E-C? 3.7cE-32 3.41F-CE 2.48E-34
6.29E-c1 1054E o: 6.39E-11 1.5uE CC 5.59E-3‘

12/ 703 12/ 80: 12/ 703 l?/ 803 13/ 703

50782 n.949 5.333 3.538 5.382

1- 6.37E-03 7-999-33 lubGE-fa «.46E-c4 5'24E'35
3.14E-02 6-29E-c1 3.145-32 6.29E-01 3o14E-02

12/ 903 12/ 7:3 12/ 9.3 12/ 703 12/ 9:3

70962 5-265 7o387 60045 7-524

1- 5.21E-ce 3.55E~93 5.31E-33 2.535-01 1.7CE~Cl
4059E-c1 3014£vCP 4.89E-31 9.89F-c; 4-8SE~;1

14/ 803 12/ 903 14/ 803 14/ 803 14/ 803

80545 7.371 8.379 9-382 8-o61

1- 2.53E-c3 1074E-o4 9.22E-33 5.05E-01 4.81E-31
2.835 co 4.89E-01 2.83E CC 2.83E o: 2.535 to

13/ 903 14/ 803 13/ 9.? 13/ 903 13/ 9.3
80963 8.53S g.gg3 13.105 9..Q£
1- 1.93E-04 3.97E-CA 1.335-23 5.97E-03 1.41E-CE
10715'01 2083E CC 107IE'T1 6029E'Cl 10715'31

15/ 803 13/ 903 15/ 803 12/ 703 15/ 803
100353 8-533 9.288 17-059 10.716
1- 2.548 L4 lolni-C? 2.39E-35 9.19E-02 1.37E-02
4.408-21 1-715-31 4.435-71 1-oSE-oi 6.29E-cl

15/ 03 15/ 803 15/ 903 13/ 703 12/ 7:3
13 deg 9.44; 9.5.5 1a-563 11-399

1.

1-

2025E'O3
10055-01
13/ 703

‘ 120177

4011E'OE

1032E CC

127 304
80580

1.22E-02
20695'02
12/ 904

80936

70205'01

2043E CC

13/ 904
90766

1.165-03
4-19E-o1

'14/ 804

100480

1038E'01
10475'01
15/ 804

110228

6042E'Cl
50395'01

12/ 704
110576

8.7OE901
3.77E-o1
15/ 904

110644

50015 CO
30775'01
15/ 904

130127

4-89E-c3

404CE'01

15l'903
90881

60455'04
10055'01
13/ 703

110581

1.2?6-02
2'695‘02
13/ 904

80282

501CE-01
2-43E oo
13/ 904

9°O36

1.63E003

4019E-o1

14/ 804
90534

9027E'02
1047E-01
15/ 804

100407

1'415 co
5039E-o1
12/ 704

100896

3087E'01
3077E'Cl
15/ 904

100948

40785 CO
3077E'01
15/ 904

120439

140

9.375-02
10055-01
13/ 703

100922

2035E-Q4
10325 CO
12/ 804

70465'

40105-02

2069E-02

12/ 904
8.209

10865 00

10325 00

12/ 804
80670

10195-02

4019E-01

14/ 804
90543

2063E GO

2043E 00

13/ 904
10.128

4084E-01

1-47E-01

15/ 804
100430

1.80E-01

5039E-c1

12/ 704
100753

3.436 GO
30775'31
15/ 904

11.511

1088E'01

1032E 00

12/ 804
80070

1032E'01

2069E'02

12/ 904
90023

4041E'Ol

20435 00

13/ 904
90592

10695'01
4019E-01
14/ 804

130529

1057E'O3
4019E'01
14/ 804

100814

10935 CO
5039E'01
12/ 704

110005

8045E‘01

3077E'01

15/ 904
110218

2022E'O3
10476'01
15/ 804

110438

50245 03
30775'01
15/ 904

12-606

60875-02
1005E'01
13/ 703

130803

80465'C2

10325 CO

12/ 804
70474

6062E'02

2'69E'C?

12/ 904
80296

40715'01

20435 CO

13/ 904
80955

3°C3E-02
4'195'01
14/ 804

908GB

60875‘02

1'475'01

15/ 804
10038?

1.86E co

50395'01

12/ 704
100398

1.11E CC

3077E'01

15/ 904
100608

5021E CC

3077E'31

15/ 904
120025

2.

2.

2.

2.

2074E CO

80985'0?

13/ 704
140262

1.21E'C1

50C5E CO

11/_901
'50414

40COE CC
8078E CO

11/ 701
60671

2062E CO
1055K CC
12/1002

50763

6078E'C3

90705'03

15/1002
80264

10995'01
20855'01
12/ 803

7°ECC

5.215'03
1.61E-o4
12/ 903

70487

1055E'C3

0005 CO
13/ 803

8.312

30985‘02

3014E'01

13/ 903
9-150

30015 00
8098E-02
13/ 704

130405

80665-37
50056 CC

11/ 901
40920

3086E CC

8-78E 00

11/ 701
6.235

7029E CC
8078E 00

11/ 701
80085

2060E CC
1055E 0C
12/1002

5-243

7015E'C2

907OE-02

15/1C02
70824

“033E-Cl
2085E'01
12/ 803

60678

“059E003
10615-04
12/ 903

60865

30995-C2

°COE CC
13/ 803

70723

141

1045E 00

8098E'02

13/ 704
120373

EoOSE 00

11/ 901
40828

4029E 93
8078E 00

11/ 701
60369

3.14F 00

1055E 00

12/1002
S0178

1037E-Ol

90735.32

15/1002
70794

6094E'01
2085E'01
12/ 803

60567

20475-03
10615-04
12/ 903

6'821

1076E-OE

'COE CO
13/ 803
70619

4033E-Ol

3014E'C1

13/ 903
80353

30435'01

809QE‘02

13/ 704
130865

20985'02

50035 CO

11/ 901
50462

4006E 0C

8078E 0C

11/ 701
60400

30115 CO
1055E CC
12/1002

50764

60385-05

90705'02

15/1012
7-912

70128'01

907QE'02

15/1002
8.123

50“SE 00
SoocE'OI
16/11’2

80787

1037E'O1
2085E'01
12/ 803

60911

6017E'Oa
1061E'o4
12/ 903

70404

40C3E001

80985‘C2

13/ 704
13.091

7.04E-C‘P
5005E CO

11/ 901
40325

3080E CC

8078E DC

11/ 701
50891

3.25E OO

1055E CO

12/100?
50059

9090E'01

9I7OE'O?

15/1002
70872

3073E CC
S0COE'C1
16/1109

8-225

3015E-Cl

2035E'31

13/ 803
60195

1.32E-C1
1061E-C4
12/ 903

60699

90235'3?

000E CC
13/ 803
70548

2-

2-.

1.02E co
1084E'Cl
12/ 703

90387

20065‘C1
oOOE co
1#/ 903
90513

10615'01

10845‘C1

12/ 703
90562

30525.01
3030E'CQ
15/ 803

90818

60u7E'02

20005’02

15/ 903
100433

20005.01
1001E'C3

13/ 703
_ 110280

3024E'01

1099E'02

15/ 703
120931

7037E'C1
2095E CO

12/ 800
80053

2063E'Cl
1031E'01
12/ 904

80585

5016E'C?
60275-02
1“/ 803

8061#

1029i CC
1-845-01

12/ 703
80963

40185'01

.008 0C
14/ 903
80946

5-58E-01
1-84E-oi
12/ 703

9-012

60985-01
303OE-04

15/ 803
90195

20995.01
1°01E-o3
13/ 703

10064C

2088E'01
1099E-02
15/ 703
'120305

5067E-O3

2095E OO_

12/ 804
70Q13

20085-01

1-31E-ol

12/ 904
70935

142

ZOEBE 00

6027E'02

1“/ 803
80670

60955.33
OCOE CO
14/ 903
80862

70755-03
10845-91
12/ 70?

80996

_30185'31

3-3oE-ca
15/ 803
90129

1081E CO
20005-02

15/ 903
90687

“097E-Cl

1001E-03

13/ 703
100390

10885-01
1099E‘32
15/ 703

12°C“5

1088E'C3

2095F 00

12/ 804
70933

60375 CC

20955 CO

12/ 804
70829

7o65E-01
30145'01
13/ 903

80422

lolOE OD
1-84E-01
12/ 703

9-214

laSiE OD
6027E“02
1“/~8'3

90552

9o7aE-C?

oocE oo
14/ 903
90611

3005E'01
30305'0“
15/ 803

90850

3032E'O“
20035'02
15/ 903

100355

#013E'01

1-01E'03

13/ 703
11'127

6013E‘01
1099E'02
15/ 703

130111

1.595-01
1031E'01
12/ 904

80323

1'2“E 00

3'1“E‘01

13/ 903
70762

10825 03

1084E'C1

12/ 703
80528

30345-03

0C9 .CC
14/ 903

80940

2038E’Cl

3'33E'Cb

15/ 803
90183

10585 30

EccOE'OE

15/ 903
90764

10CBE'02

IICIE'C3

13/ 703
100358

4082E'31
1099E'02
15/ 703

120318

1008E'Ol
2095E CC
12/ 804

70349

IICSE'CI
1031E'Cl
12/ 904

80029

2-

2.

2.

2.

2.

2.

2.

2.

70552 00'

20952 CO

‘12/,804

807h8

2031E'Ol
0002 CC
13] 804
90406

3054E'C2

80422'C2

13/ 900
10'335

50792'01
0002 00

10/ 904
100582

10195 CO

80422'02

13/ 904
100621

30982-04

20675'01

15/ 804
100868

30115 CO

1017E 00

12/ 704
11'022

10705 00

2-23E-02

15/ 904
110679

10582 00

8018E'01

13/ 704
120578

30605-01

(005 00
13/ 80#

80728

4053E-C?
1054E CC
14/ 804

90543

10262 CO

1054E oo

14/ 804
90761

S092E'01
’OOE CC

14/ 904
90910

6033E-01
000E 00
14/ 904
10'010

10162'01
2-67E-o1
15/ 804

100092

2048E CC

1017E 00

12/ 700
10.328

10525 CO

2023E-02

15/ 900
110025

1069E'CQ.

8-18E-01
13/ 704
11.750

143

3098E-01
1031E-01
12/ 904

70979

70852-02

80025-02

13/ 904
90360

6042E-O1

1054E 00

14/ 804
90645

2063E-03
0COE 30

14/ 904
100005

20535'01
2067E-01
15/ 804

10'1““

1072E 00

1017E 00

12/ 704
100322

6032E-01

20235-02

15/ 904
100833

1033E OO

8018E-01

13/ 70“
1105#1

8006E'Ol
10315'01
12/ 904

8069#

50175'01

000E CC
13/ 80“
90390

8065E'02
80#EE'OE
13/ 900

90947

10935 00

1054E OO

10/ 800
10'491

30675.01
0005 00

10/ 904
10'610

10012'01
2067E'01
15/ 800

100978

104QE 00

10172 00

12/ 704
11'063

2013E CO

20235'02

15/ 904
110447

2006E 00
8-18E-c1
13/ 704‘

120607

1005E 00

0005 00
13/ 804

80669

10075 cc

'OCE CC
13/ 804

80507

50105-02

80426-02

13/ 904
90300

8-72E-o1

10542 00

10/ 804
90612

1099E-01

IOCE OO
1“/ 90“
90998

80035'02

2067E'01

15/ 804
100209

10965 CO

10172 CO

12/ 704
10047“

20O4E 0C

20235-02

15/ 904
10.840

2006E OO

8'185'01

13/ 704
110758

3.

3.

3.

30462 00
10092 00
15/ 704

140228 _

40852 03

20102 03

11/0301
20290

40892 CO

20752 02

11/ 901
40511

40462 Cl

0002 00
12/1002

50333

90552 01

0002 00
12/1002

'50562

20162 02
0002 C0

13/1002
0 60542

80612 02
r0005 00
16/1102

80502

4016E 00

30952 02

12/ 803
6'502

80332 01

10442 02

12/ 903
70069

30342 00
10092 00
15/ 704‘
0130566

40872 03

201CF C7

11/ 601
10863

10252 CO

20752 02

11/ 901
40047

50172 C1

0002 00
12/1002
40828

10112 02
'002 CC
12/1002
50406

10222 O?
'002 OC
13/1002
60108

50302 02
0002 00
15/1102

7095f

20762 01

30952 02

12/ 803
60326

10115 02
1044E 02
12/ 903

60481

144

20212 00
1009E DO
15/ 704

130304

10252 O4

2-10E 03

11/ 801
20098

7079E 01

20752 02

11/ 901
40140

10342-01
OOOE 00
12/1002

40820

40832 C2
0082 00
12/1002
50431

10812 03

0002 00
13/1002

60136

10232 02

30952 02

12/ 803
9;? .373

5036E 01

10442 02

12/ 903
6-608

20212 01

20102 CZ

13/ 803
70439

20172 CO

10092 00

15/ 704
14°10?

4.75E 03

aolcE 03

11/ 801
2-787

20702 01

20752 02

11/ 901
40711

20712 02

10652 03

11/ 711
6-117

10772 01

0002 00
12/1002
50496

.30282 02

0002 00
13/1002
60635

207OE 01

.ooE 00
16/1102

70787

7038E 02

000E 00
16/1102

80439

10052 01

30952 02

12/ 803
60870

20302 00

1'092 00

15/ 704
130388

40792 33

20102 03

11/ 801
20872

30982 CO

20752 02

11/ 901
40133

30562 02

1'65E O3

11/ 701
50537

30672 C1
0002 CC
12/1002
40814

10472 02
0002 CC
13/1002 ,
60160

70682 01

'002 00
13/100?
60266

80272 C2
0002 00

16/1102
70876

80892 Cl
1044E 02
12/ 903

60548

.3.

3.

3.

3.

3-

3.

3083E'O3

20105 02

13/ 803
80087

40845 C1
6006E C2
13/ 903

80333

2098E C1
50925 02
15/1803

90452

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15/ 803
90560

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15/ 903
90943

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10655 02
13/‘703
100928

3017E 02
20805 02
14/ 703

110615

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10205 02

15/ 703
120358

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3038E 02

12/ 804
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9'065-01

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13/ 803
70470

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70876

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15/ 8:3
80873

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14/ 903
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15/ 9:3

9-395

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1068i c2
13/ 703

100468

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14/ 703

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1020E 02

15/ 703
110761

8091E 01

30385 02

12/ 804
7-152

145

6090E 00

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13/ 903
70792

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2-10E 02

14/ 903
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15/ 803
80867

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8'910

2-32E 31
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90377

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13/ 703
10-145

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14/ 703
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15/ 703
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12/ 804

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12/ 903
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80667

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14/ 903

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15/ 803

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13/ 703
11.513

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14/ 703

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6006E 02
13/ 903

80071

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2010E 02

14/ 903
80394

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30605 02
12/ 703

80993

10725 02

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15/ 803
90068

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2-16E 02

15/ 903
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1065E 02

13/ 703
100757

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14/ 703
110195

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12/ 804
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3-

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12/ 904
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13/ 804

90231

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50195 C?

13/ 904
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6.18E 01
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14/ 904

10-608

10365 02

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12/ 704
100841

20895 01

10855 02

15/ 904
11.182

9.745 ca

50085 02

15/ 804
11.255

30785 02

10425 02

13/ 704
120484

10895.01
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12/ 904
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80155.01

1.24E c?

12/ 904
8019C

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10805 CB

13/ 804
80564

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5'19E 02

13/ 904
90149

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10805 02

14/ 904
10-005

30275 01
5008E 02
15/ 804

100166

30815 02
30095 02
12/ 704
7100236

90205 02

10855 02

15/ 904
10.590

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10425 02

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110615

146

10635 02

30385 02

12/ 804
70611

50735 CR

1-24E 02

12/ 904
70944

20245 01

10805 02

13/ 804
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50195 02

13/ 904
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90575 01

10805 02

14/ 904
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20135 02

30C9E 02

12/4704
100216

6.665 02

50085 02

15/ 804
100371

60345 02

10855 02

15/ 904
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50495 32

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13/ 704
110447

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12/ 804
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40315 CO

10805 02

13/ 804
90306

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50195 02

13/ 904
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10555 02

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14/ 904
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12/ 704
10-907

30145 02

50085 02

15/ 804
110100

90495 02

10855 02

15/ 904
110239

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10425 O?

13/ 704
120487

80955 01
10035 02

15/ 704

120893

40285 01

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12/ 804
70559

50405 00
10805 02
13/ 804

80637

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50195 02

13/ 904
90346

10735 02

10805 02

14/ 904
100001

50805 01

50085 02

15/ 804
100200

40025 02

3.095 02

12/ 704
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15/ 704

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3.

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120908

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6-085 03
11/ 801-

40304

10875 03
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11/ 901
40543

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11/ 701-
60988

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40635 01
13/1002

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16/1102
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6099C OO
4062E'01
12/ 903

70331

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14/ 704

120300

60975 C?

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15/ 704
13-133

20535 03

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11/ 801
30905

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11/ 901
40337

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90195 03

11/ 701
60556

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4063E 01
13/1002

60179

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10195 03
16/1112

70547

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4062E-c1
12/ 903

60723

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12/ 803

60791

147

3071E 02

2'40E 02

14/ 704
120290

4035K 02

10035 02

15/ 704
120998

30345 03
60an 03

11/ 801
30914

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20115 o3

11/ 901
4-319

50975 O3

90195‘03

11/ 701
6.564

80SCE 01
4063E 01
13/1002

60161

10925 01

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16/1102
70505

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4056K 02

12/ 803
60650

1024E 31
40625'31
12/ 903

60734

30455 03

20405 02

14/ 704
130082

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15/ 704
130827

40095 O3

6’03E C3

11/ 801
40279

10445 O3

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11/ 901
40863

30275 03
90195 03

11/ 701
60746

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13/1002
60459

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16/11‘2
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12/ 9:3
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10495 O3

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12/ 803
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14/ 704
120407

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15/ 704
13'10‘

3070K 03

60085 03

11/ 801
30833

10875 03
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11/ 901
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11/ 701
60297

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16/1102
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12/ 803
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4.

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30495 C2

40205 00

13/ 803
80083

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60335 01
13/ 903

80707

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30595 02
12/ 703

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15/ 903
100278

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10275 00
13/ 703

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10515 C2
14/ 703

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15/ 703
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12/ 904
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12/ 804
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13/ 803

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30596 02
12/ 703

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15/ 903

90746

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13/ 703

100180

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10515 02
14/ 703

110222

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15/ 703
110760

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12/ 904
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1.12E cu

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70860

148

10265 01

40205 90

13/ 803
70410

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13/ 903
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12/ 703

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50815 01
50005 CC
15/ 903

90615

3-87E 01

10275 00

13/ 703
100115

80535-02

10515 02

14/ 703
110143

20355 02

60235 00

15/ 703
11-711

10525 Q4
10125 04
12/ 804

70727

1055K 03

3075E 02

12/ 904
70861

60715 02
40235 00
13/ 803

80041

30515 03
60335 01
13/ 903

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10185 C2

30595 02

12/ 703
90591

30605 C2

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15/ 903
100298

90145 02

10275 00

13/ 703
100757

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10515 O2
14/ 703

110976

10105 03
60235 00
15/ 703

120439

90375 03

10125 O“

12/ 804
80394

10795 03

30755 02

12/ 904
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40205 00

13/ 803
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10135 04
60335 C1
13/ 903

70597

30995 C3

60335 01

13/ 903
70750

10035 Cl

30595 02

12/ 703
80840

30295 02
50005 00
15/ 903

90662

30935 01
10275 CC
13/ 703

10.010

1.5?5 01‘
10515 02
14/ 703

110240

80815 CE

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15/ 703
110646

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3075E CE

12/ 904
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13/ 804
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10255 C2

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12/ 704
100551

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15/ 904

110413

10205 03
10035 03

13/ 714
110991

40225 C3

30715 03.

14/ 704
120887

40215 O3

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15/ 704
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20325 C6
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11/ 8:1
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50325 05

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13/ 804
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13/ 904
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12/ 704

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15/ 914
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10035 03

13/ 704
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14/‘704
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15/ 714

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11/ 801
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149

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13/ 804
80500

10865 CE

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13/ 904
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12/ 71k
100830

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15/ 90h
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13/ 70#
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30715 03
14/ 704

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15/ 7:“
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11/ 801
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11/ 901
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13/ 804
90138

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10255 02

13/ 904
90481

40335 C3
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12/ 7:4

1308kl

10985 02
20535 01
15/ 904

11'220

10665 03

10035 03

13/ 704
12'115

30425 03
30715 03
14/ 714

120916

20775 C3

10155 03

15/ 70“
130539

109uE 06
70645 05

11/ 801
30966

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50325 05

11/ 901
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40095 02

10455 02

13/ 804
80473

30295 32

1'255 02

13/ 914
80920

50305 33

40905 03

12/ 704
100206

20425 C?

20505 01

15/ 904
100618

a-lSE 83

10035 C3

13/ 704
110279

30715 03

30715 03

1#/ 704
120?8?

30085 03

1'155 03

15/ 704
120832

20195 06

70645 05

11/ 801
30Q74

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50325 05

11/ 901
40049

5.

5-‘

5.

7.75E 05

70985 05

11/‘711
60050

boEOE C3

cCOE 00
16/1112
70711

1.485 C4
50925 05

12/ 913
60934

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70645 05

13/ 8:3
80012

70115 03
20#7E 05

13/ 913
80282

103“E C5
2.37E 05

12/ 7:3
90#80

1068E C5

20855 C5

13/ 713
100628

I 20325 C5

2085E 05
13/ 713
100714

3.105 O5
SDSEE C5
15/ 733‘

130055

709OE 05

70985 CS

11/ 711
50556

1078E C“

000E CC
16/1112
7-511

9'20E 02
5092E 05
12/ 913

60386

10535 03'

7-6uE 05
13/ 8:3
70216

9-63E 03

2047E 05

13/ 913
70783

10705 05
2037E'05
12/ 713

80992

20015 05
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13/ 7:3

10'082

50835 02

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15/ 713
119513

6.80E 05
5.07E cs

12/ 914

80089

150

1-6#E 06

70985 05

11/ 711
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16/11:2
70492

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5092E 35

12/ 913
60492

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70645 05

13/ 8:3
70169

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13/ 913
70769

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12/ 7’3
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110517

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80051

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11/ 711
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16/1112
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12/ 913

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12/ 713
90953

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20855 05
13/ 7:3

11'082

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50525 05

15/ 7:3
12.651

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5.07E 05

12/~914
80675

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7'985 05

11/ 7:1
60335

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70481

1'11E 06

5092E 05

12/ 913
5.777

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7064E 05

13/ 813
70229

3079E 05

20475 05

13/ 913
80071

20055 05

20375 05

12/ 7:3
90265

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20855 05

13/ 703
100328

1065E O3

SOSEE OS

15/ 703
110849

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12/ 904
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13/ 914
90635

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120204

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4073E C5

15/ 704
130721

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20315 07

11/ 8:1
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11/ 901
40694

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11/ 711

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13/ 804

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12/ 714
90988

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2'44E 35

13/ 704
110273

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15/ 704
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20318 37

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30982

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1042E 06

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4.222

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11/ 711
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16/1102

70571

151

3042E 05

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13/ 804
80650

7022E 35

20125 C5

13/ 904
8.335

3044E 05

20035 QB

12/ 704
10.114

50445 05

2044E 05

13/ 704
110264

90175 05

40735 35

15/ 704
13'000

1010E Q7
2031E O7

11/ 801
30979

70445 06

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11/ 901
40210

10305 37

1-ueE 37

11/ 701
60653

7085E 06

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16/1102
70536

10435 05

6055E OS

13/ 804
90343

4019E 05
2.12E 05
13/ 914

90511

2043E OS

ZOOBE 65

12/ 704
100787

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13/ 704
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15/ 704
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7.355 06

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40690

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11/ 7'1
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16/1102
70752

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13/ 804
80688

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2-12E cs

13/ 904
80387

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12/ 704
10.148

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13/ 704
110381

8093E 35

4073E 05

15/ 704
130119

1-70E Cb

1042E 06

11/ 901
30934

1079E C7

20315 C7

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40128

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11/ 701
6.410

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70357

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13/ 903*

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13/ 904
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12/ 704
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13/ 704
110779

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10675 09

11/ 901
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16/1102
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13/ 903
8.262

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12/ 703

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10285 03

13/ 703
100016

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13/ 904
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2-63E 07

20265 07

12/ 704
100376

20365 06

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13/ 704
100959

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11/ 901
30843

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11/ 701
5.250

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16/1102
70377

152

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80090

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12/ 703
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13/ 703
100017

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13/ 904
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20515 C7

aceeE c7

12/ 704
100330

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10045 06
13/ 704
110063

20265 09

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11/ 901
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11/ 701
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16/1102

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13/ 903
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12/ 703

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13/ 703
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13/ 904

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12/ 704
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13/ 704
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1'585 03
13/ 703'

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13/ 904
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2026E O7
12/ 704

100350

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1.045 06

13/ 704
110081

20135 09
10675 09

11/ 901
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15/1102
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7.

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13/ 703
100196

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11/ 701
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20405 10

16/1102
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15/1112
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15/1102

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13/ 70h
11-45C

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APPENDIX E

VECTOR AMPLITUDES

161

162

This appendix consists of four sections as Appendix.

Summary of important vectors:

spin, parity of state

J:
E= excitation energy of state

E: dimension of vector
Type - 1 pp“1 excitation
2' nn-l excitation

3 T=0 excitation
4 T=l excitation N¢Z
5 T=l excitation, N=Z
Configuration: p/h see Appendix C.
X amp.
Y amp.

BEJ(UP),.BEJ(DOWN) units of e2 fZJ

2 2J

BMJ(UP), BMJ(DOWN) units of e f
SINGLE PARTICLE
Transition as of vector was composed solely to
major componant and type.
P-TO-H -
Transition of single particle between orbits P,H.
(PH)-TO-(G.S.).
Transition of a single particle-hole configuration,
ph-1,' to ground state.
Ratio of BMJ or BEJ to above can be considered
.a measure of the enhancement or dehancement due
'to configuration mixing.

Dens ity Function

'to be ignored.

 

 

 

 

163

Blé'TDA KOK0

ISP1N<G.s.>= o ITDRP00 IA-lé 120 8 Hw-13.3o
I‘PU0O
J010 ' E3100624 N1'10
IYPE-B
4/ 2 5/ 3 5/ 2 6/ 3 6/ 2
00290 0859 0337 .0228 , 0040
TYPE-5
" 4/ 2 _ 5/ 3 5/ 2 6/ 3 6/ 2
0.009 0089 0007 000004 00002
BEJtuPh10047E-03 BEJ<DewM03009OE0O+

MAJGR CBMPBNENT' P0 5 H0 3 TYPE03

SINGLE PARTICLE BEJ
P-TB-H010201E001 (PH)-Te-o<e.s.>080271E-02

DENSITY FUNCTIBN
csrang¢ 230-100285'01
C57695( 4) 0 50913E002

 

\ 00-.
53‘
j_—'

 

 

164

Bib-TDA K0K0

ISPIN(6080>= '0 ITDRP=C Mali: :20 8 0104013030
IPUIO .
J3 10 «£81,30846 N310
TYPE-3
4/ 2 5/ 3 5/ 2 6/ 3 6/ 2
o021 -0059 --o7e . 0023 10.003
TYPE'S '
4/ 2 5/ 3 5/ 2 6/ 3 6/ 2
I0118 0986 000043 .010 .0030
BEJ(UP)0906“8E-02 BEJ<DewN>03.216E-oa

mAJoR COMPGNENT P0 5 H0 3 TYPE-5

SINGLE PARTICLE BEJ
Pare-H01.241E-o1 (PH)0Te-Q(G.s.)080271E-02

DENSITY FUNCTION
CSTBRU 2:0-90618E-01
CSTOREc ‘4.)- 50576E-01

 

 

165

516-TDA K0K0

Ispnue.s.>- 0 ITDRPso IA-16 120 a HN'1303O
IPU0o .
,J- 1- . {010.768 rum
TYPE-3
4/ 2 5/ 3 5/ 2 6/ 3 6/ 2
0100 --390 0857 00308 .007
TYPE-5
" a/ 2 5/ 3 5/ 2 6/ 3 6/ 2
.0001 0051 0064 '0OE5 '0007
BEJ‘UP5040999E-04 BEJ<oew~)-1.seee-oa

HAJBR CBMPBNENT P0 5 H0 2 TYPE03

SINGLE PARTICLE BEJ ‘ -
P-TB-H020081E-01 (PH)-T6-o(6050)010650E-01

DENSITY FUNCTIBN
CSTGRH 2:0-104715001
CSTORE( 4:0 70129E-02

 

166

Bib-TDA K0K0

 

 

ISPINCG0S0)3 0' ITCRP=C IA316 12' 8 Hw813030
IPU'O
J' 1' ' 5'170987 N210
TYPE-3 i
4/ 2 5/ 3 5/ 2 6/ 3 6/ 2
00431 00103 0232 052“ 0169 1
. - £9
TYPE-5 .
4/ 2 5/ 3 5/ 2 6/ 3 6/ 2
00219 .0023 00093 0602 0167
3EJ‘UP)030353E-02 BEJ(DBWN)-10118E-02

HAJeR CBMPBNENY P0 6 H0 3' TYPE-5

SINGLE PARTICLE BEJ

P.76.H03.102E001 <9H>oTa-o:0.s.>04-1BSE-01

DENSITY FUNCTIBN
CSTGRE( 2,0 106065001
CSTGRE! 4)- 30655002

 

167

elb'TDA K.K.

 

 

Ispuue.5o>- c ITDRD=O 1A=16 12a 8 23:13.30
IPUIO ,
J! 1- ' E3180179 N310 p
TYPE-3 i
4/ 2 5/ 3 5/ 2 6/ 3 e/ 2
-39o oo7o ..141 ..a99 5.150 a
La
TYPE-5 .
4/ 2 5/ 3 5/ 2 6/ 3 6/ 2
..229 --039 --1sa .663 .180
"BEJ<up)-3.093£-oa 523(oew~>-1.031e-02

UAJBR CBMPBNENT PI 5 HI 3 TYPE!5

‘SINGLE PARTICLE BEJ
P-TB-H-3.102E-o1 (PH)-TB-o(G-S.>-4o135E-o1

DENSITY FUNCTIBN
CSTORE( 2)‘ 207285.01
CSTORU 4)"101265'02

 

168

016'TDA KOKI

ISPnuegs.)s O ITDRPsO IAalé 12- 8 HW=13o30
IPU=O .
.h 1- . EIZO-Ell N810
IYPEIB
a/ 2 5/ 3 5/ 2 6/ 3 6/ 2
.017 .018 ~o064 ~0009 .-o010
TYPE-5
“/ 2 5/ 3 5/ 2 ' 6/ 3 6/ 2
.casa oooa 5940 .047 .167
BEJ‘UP’C40449E'02 BEJ‘DOWN)31.“33EI02

NAJBR CBMPBNENT P- 5 H= 2 TYPE*5

SINGLE PARTICLE BEJ

P-TB-H-EMBIE'OI (Pm-TB-om-So>-1o654E'01

DENSITY FUNCTIBN
CSTBRE( 2,--1.39OE oo
CSTBRE‘ 44- 6-735E-01

 

 

4'.“ . I I“
.'v_ 3:- ~

 

"fi

169

“640‘ K.K.

ISPHHGOSO)‘ O ITDRDBC IA‘16 12' 8 HW313030
IPUIO
J8 II ' £323.537 N310
IYPEOB .
6/ 2 5/ 3 5/ 2 6/ 3 6/ a
o006 oooo --ooe -;oou .025,
TYPE-S
“I 2 5/ 3 5/ 2 6/ 3 5/ 2
0896 0119 0223 0322 0170
BEJ(UP)-3.3“6E oo BEJ<DewN)-1.11SE oo
mAJeR CBMPBNENT‘ Pi 4 H- 2 TYPE-5»
SINGLE PARTICLE BEJ , -
P-Te-H-3.722£-o1 <pH>-Te-oceoss>-7-44aE-01

DENSITY FUNCTIEN
CSTORE< 2)-'uo516E-01
CSTBRE< 2,. 1.1995 00

 

V 1.1“ “-'_._A
wr-

w .

170

elb'TDA KOKO

ISPHMG-s->= o ITERP=C IA=16 IZ= 8 23:13.30
IPu-o
J: 1: ~E8240422 N313
TYPE-3 '
4/ 2 5/ 3 5/ 2 6/ 3 e/ 2
.279 0052 --035 ..052 .956
TYPE-5 -
4/ 2 5/ 3 5/ 2 6/ 3 e/ 2
--025 --00# -ooo9 --017 .022
BEJ(UP)-5.713E-O3 3EJ<DBWN)-1.90“E-03

mAJeR CBMPBNENT Pa 6 H= 2 TYPE=3

SINGLE PARTICkE BEJ
P'TB'H'60203E'02 (PH)-T8'O(GOSO>380271E'02

DENSITY ruwcrxew
Csrenec 2>- 1.739E-02
CSTBRE< not-«.9oaa-oe

 

 

171

616-TDA ! Km.-

ISPUHGOSI)! C ITDRP'C IA'16 12' 8
IPUIo
J11- ' E8260368 NalC
TYPEO3 '
u/ 2 5/ 3 5/ 2 6/ 3
~0008 --003 0005 0004
TYPEOS
4/ 2 5/ 3 5/ 2 6/ 3
--032 I ooa1 --161 -a300
BEJ(UP)!9oO76E-01 BEJ<DBWN)'3.025E-01
- NAJBR CBMPBNENT P- 6 H- 2 TYPE-5

HW'13930

6/ 2

.0026

6/ 2
.939

SINGLE PARTICLE BEJ
(PH)'Te'O(GoSo)‘80271E'02

P¢T30H060203E'02

DENSITY FUNCTIBN
CSTBRE( 2)= 2.1492-01
csronm 4)"601615'01

 

. 4 -
I a wry—...

616'TDA K.K.

SINGLE PARTICLE BMJ
P-TB-Hl106375f02

DENSITY FUNCTIGN
CSTBRE( 2;--4.206E-02
csroREt 4)--1.7952-o1

172

ispnue.s.>s 0 17022-0 1A=16 12s 8
. IPu-o
3- 2- 2:12.250 Nalo
TYPE-3
4/ 3 4/ 2 5/ 2 6/ 3
.957 .233 .049 .069
TYPEOS
4/ 3 #/ 2 5/ 2 6/ 3
'1‘“ 0033 0012 0001
BMJ(UP).2.074E-01 BMJ(DOWN)-4.149E-02
MAJBR COMPONENT P- a H- 3 TYPE~3

(PH)'TB'O(GOSO33109655'02

HW'13030

6/ 2
0004

6/ 2
0010

 

 

173

316'TDA K°Ki

'ISPHMG.S.)a o ITDRP-O IA-16 12- 8 Hw-13o30
IPUIO
J: 2. . 5'130236 N‘lO
TYPE-3 A
4/ 3 4/ 2 5/ 2 6/ 3 6/ 2
.0143 .0039 3 .0005 '001“ ~0°00
TYPE-5
. a, 3 4/ 2 5/ 2 6/ 3 6/ 2
0956 .233 .074 ..005 .076
BMJ(UPH10777E 00 BMJ(DBWNHSoSS‘I'E-Oi.

@AJOR CBMPBNENT P8 4 H- 3 TYPEss

SINGLEPARTICLE BMJ
ngepH-1.o#9E OO (PH)-T8-O(GoS¢)u10259E 00

DENSITY FUNCTION
CSTBRE¢ 2,.-2.u345-o1
csreas( 4).-4.7735-01

 

 

174

516-TDA K.K.

 

H‘ .3030
ISPIMG.s.>= o ITDRPso ”:16 I2: 8 M‘l
IPu-o _
.n 2- - 2-16-734 6:10
. / 2
TYPEGV 3 4/ 2 5/ 2 6/ 3 6
' 36
”162 0417 _T'055 0876 '01
l 6/ 2
TYPE 5‘v 3 4/ 2 5/ 2 6/ 3
2 . 1
oooo .031 --006 .097 .0 0
BMJ(UP>-u.316E-01 BMJ(DBNN)-8o632E-02

MAJGR CBMPBNENT P- 6 H- 3 TYPE'B

Sl¢gkfi.:¢§gégtg3e (PH)-T5'O(GOSO)'3I‘O‘H#E 03

D NSITY FUNCTIBN
CgTBRE( a): 20267E'02
CSTGREQ It): 207415'01

 

175

016O'TDA K.K'o

 

ISpI~(G.s.)- o 17032.0 IAzlé 12: a st13o30
IPU-o .
J: 2- ' E'17o988 N-1o
IYPE03
4/ 3 4/ 2 5/ 2 6/ 3 6/ 2 ;
I
noes ~oo91 ~024 --063 .021 Li
TYPEuS
b/ 3 4/ 2 5/ 2 6/ 3 6/ 2
cooss . ,oaoo --o33 .933 ' ..109
BMJ(UP)-1.33~E-o1 BMJ(DowN)-2.767E-02

MAJOR COMPONENT P- 6 H- 3_ TYP2-s

SINGLE PARTICLE BMJ
P-Te-HF2.511£-oe . (PH>'70'0‘G°$"'3‘0°9E'°2

DENSITY FUNCTION
CSTBRE( 2)- 1-073E-o1
CSToRE< ax- 1-1745-01

 

176

Bib-TDA K.K.

 

 

ISP1N(GoSo)= 0 ITDRDaC 1As16 Iz= 8 Hw=13.3o
IPUCO
J: 2. E3180563 N810
TYPE-3
Q/ 3 4/ 2 5/ 2 6/ 3 6/ 2
90116 0707 05530 .0409 .0065 it
I!
TYPE-5 '
“/ 3 4/ 2 5/ 2 6/ 3 6/ 2
.0012 0111 00146 0017 00008
BMJ(DBWN)'1006OE'01

BMJ(UP) 950299E-01

NAJBR CBMPBNENT P= 4 H= 2 TYPE'3

SINGLE PARTICLE BMJ
P-TfioH'1014BE'01 <PH>-T8-c(o.s.>-1-377E'01

DENSITY FUNCTIBN
csrenaz 2). 5.0832-01
CSTBRU a). 1.1055-01

 

 

177

Bib-TDA K.K.

ISPIN(G.S.>= c ITDRP=O IAs16 12a 8 Hw=13.3o
IPU=O ' '
J: 2- ' 5319-351 N-io
TYPE-3
4/ 3 4/ 2 5/ 2‘ 6/ 3 6/ 2
F0081 0315 0277 .0159 9.067
TYPE-5
’ 4/ 3 4/ 2 5/ 2 6/ 3 6/ 2
0065 .0488 .710 0203 0007
8M3<up)g7.5542-02 BMJ(DGNN)'1.511E-OE

MAJOR CGMPBNENT P- s H- 2 TYPEss

SINGLE PARTICLE BMJ

p.Te.H.1.5192 oo (PH)-T6-o(G.s.)iboo76E-01

DENSITY FUNCTIBN
£5T6RE< 2)--2.352£ oo
CSTBRE( a). 1.0592 00

 

L3

 

178

Blé'TDA K.K.

ISPMHG§s.>x o ITDRpuo IAalé Iz- 8 Hw=13o30
IPU=0 ‘
J- 2- . 2:19.698 N810
TYPE-3 ,
4/ 3 4/ 2 5/ 2 6/ 3 6/ 2
"115 0361 0786 _ 03162 H.117
TYPE-5
4/ 3 4/ 2 S/.2 6/ 3 6/ 2
.0062 cauo --255 éo115 ..031
BMJ(UPIoso68OE-01 BMJ(DewNTa1.936E-01

'mAJeR CBMPBNENT P- 5 H- 2 TYPE-3

SINGLE PARTICLE BMJ
.P-TO-H-5.3065-02 (PH)-Te-o(5.s.)32.1325.03

DENSITY FUNCTIBN
CSTGRE( 2)! 70985E'01
CSTBRE( #)I 100475.01

 

 

179

V 516'TDA K.K.

 

ISPUHGoSo)' 0 ITDszo IA-15 12. 8 st13.30
IPu-o .
J- 2- ' 2-20.939 N-io'
TYPE03
4/ 3 4/ 2 5/ 2 6/ 3 6/ 2
0017 --046 “0116_ .02“ .018
TYPEPS _
4/ 3 4/ 2 5/ 2 6/ 3 6/ 2
-~197 '672 062» ..232 ..223
BMJ(UPIIInIESE o1 BMJ(DOWN)'2o258E oo

‘MAJBR CBMPBNENT P- 4 H- 2 . TYPE-5‘

. SINGLE PARTICLE BMJ
P-TB-H-1.386E oo (pH)'T5f0(GOSo)‘10663E oo

DENSITY-FUNCTIeN
CSTBREI 2:--2.ouaE oo
csreas: 4); 202685 00

 

180

b16-TDA KéKo '

ISPIN(G.S.)= C ITDRPIC IAa16 128 8 Hw=13030

 

'IPU'O ~
J! 2- . E=23.276 N810 p
TYPEOB .
' 4/ 3 4/ 2 5/ 2 6/ 3 6/ 2

..osa ' 5171 -o7o ~065 '976 §

E

TYPE-5

4/ 3 4/ 2 5/ 2 6/ 3 6/ 2

..ooS 0013 .0006 0003 '073
BMJ(UP)09.962E-02 BMJ(DGWN)-1o992E-03

MAJOR COMPONENT P- 6 H- 2 TYPE'B

SINGLE PARTICLE BMJ
P-TenH-1.991E-ou ‘ (PHI-T6-0<G-So>-1°593E'0“

DENSITY FUNCTIBN
CsTeREt 2)"20340E~02
CSTBREI A). 1.454E-o1

 

181

elb'TDA K.K.

ISPUHGuSo)= C ITDRPIC IA$16 123 8 Hw=13o30

IPU'O '

J' 2- ' [‘240057 N810

TYPE-3 .

' 4/ 3 4/ 2 5/ 2 6/ 3 6/ 2
0006 00014 .0011 00005 .0073

TYPE-5

' 4/ 3 4/ 2 5/ 2 6/ 3 6/ 2
.0125 0187 0120 oO#9 0963

BMJ(UPIQ3o389E oo' BMJ(DBWNInéo778E-01

mAJeR CBMPBNENT Pa 5 H. 2 TYPEgs

SINGLE PARTICLE BMJ
P-TB-H-1.seuE-o1 (PHT-TB-OCGoS-"105075'01

DENSITY’FUNCTIBN
CSTORE( 2)--3v9«SE'01

CSTBRE‘ lo" 905145-01

 

 

182

816—TDA K.K.

ISPIMG.s->-i 0 ITDRP=C 1A=16 12a 8 Hw=13.3o
IPU'O
JI 3- ' E! 80464 N: 6
TYPE-3 -

4/ 3 «x 2 6/ 2

.917 0298 -o26u
TYPE-5

«/ 3 4/ 2 6/ 2

- noes ~uoo1 --001'
BEJ<UPIuh6993E o2 BEJIDBWN)-7o133E o1
MAJBR CeMPeNENT P- 4 H- 3 TYPE'3
SINGLE PARTICLE BEJ .
PbTe-H-3.694E 01 (PHIETB'O(GoSo)-30166E o1

DENSITY FUNCTIBN _
CSTBREI 4)--7.A6OE-01

 

 

183

BlvaOA K.K.

ISPHHGoSoIs o ITDRPaO IA-16 12a 8 Hw=13.3o'
IPUso
.n 33 - E-13.225 Na 6
TYPE-3

4/ 3 4/ 2 4 6/ 2

'0018 ~o026 ' .014
TYPE-5 ‘

w4/ 3 4/ 2 6/ 2

0985 ~0166 0000

BEJ‘UP3-1o348E 02 BEJIDBNN)-1.926E 01

MAJOR COMPGNENT Pt a H- 3 TYPE'S

SINGLE PARTICLE BEJ

P-TB-Ht30694E o1 <PH>'TB~0(G°$°>'3°1655 01'

DENSITY FUNCTIGN
CSTBRE( 4).-3.876901

 

 

184

516'TDA K.K.

 

ISPMMGASaIt C ITDRP-O IA=16 Iz- 8 Hw-13.30
IPu-o
J- 3- ' E'16o368 N: 6 1
TYpan
4/ 3 4/ 2 _ 6/ 2
..359 .905 ..224 E
g
TYPE-5. _
' “I 3 “I 2 6/ 2
:023 .016 oooo
BEJTUP):1.191E 02 BEJIDOwNIOIo7OEE 01

MAJBR COMPBNENT ’P- 4 H- 2 TYPEaa
SINGLE PARTICLE BEJ
P'TG'HIZQSSSE 01 (PH)'T5'O(GCSC)'20533E 01

DENSITY FUNCTIGN
CSTORE( L’s-a-obbhE-Toi

185

Ulb'TDA K.K.

ISPnueos.>s o ITDRPaC IAa16 12a 8 Hw=13.3o
IPu-o
J: 3- ' 53180829 N: 6
TYPE-3
u/ 3 4/ 2 6/ 2
#005 -:016 o01a
TYPE-5
u/ 3 4/ 2 6/ 2
o165 .980 o106
BEJIUPIsIo798E 02 BEJ<Dew~).2.569E o1

@AJBR CBMPBNENT P- u H- 2 TYPE95

SINGLE PARTICLE BEJ

.P—TB-Hn2.9552 01 (PHI-TB-Q(Go5o)-2o533E.o1

DENSITY PUNCTIBN
CSTBREI 4)'-a.4775-01

 

 

83.3

 

186

816'TDA K.K.

ISPUMG.S.)= 3 ITDRPtc IAs16 12- 8 Hw=13.30
IPu-o
J- 3; - Ex22-II~ ms 6
TYPE-3
' 4/ 3 ' 4/ 2 6/ 2
.173 ~ .301 ' .936
TYPE-5
’ a/ 3 #I 2 6I 2
.000“ "010 .016
asq<up>§a.uoaa 01 BEJIDBWNIIIoZOIE 01

MAJOR COMPGNENT Pa 6 HI 3 Typgaa
I IC E BEJ ‘ .
SingsnszISELo1 (PH)-T8-o(5.s.)s3.8ooE 01

DENSITY FUNCTIBN
CSTORE< «I. 3.061E-01

 

 

 

 

 

187

316'TDA K.K.

ISPNHG.S.>= O ITDRPac IA:16 IZ- 8 Hw213.30
IPu-o . .
LP 3. ' E8250105 NI 6
TYPEIS

U3 “/2 6/2

..003 ..003 --016
TYPE.5 .

4/ 3 k/ 2 6/ 2

noo18 ~0104 '-994
B£J(uPT33o128E 02 ’ BEJ<DewN)-4.469E 01

MAJBR CBHPBNENT Pl 6 H: a TYPE-5

SINGLE PARTICLE BEJ

P-TBGH'606‘09E o1 (PH)'T6-0(GOSO)'3OBOOE 01

DENSITY FUNCTIeN
CSTGREI «)3 509055.01

 

 

188

816-TDA K.K.

ISPINIGuS.>! 0 ITDRP=C IA=16
IPU'O .
q: 4. E8180833 N: 2

TYPE-3
“/ 2
0997
TYPE-5'-
“/ 3
0075

HW'13030

 

 

1. _-
'Jfi—

BMJ(UP)!50147E 02 BMJ(DOWN)-5.719E 01

NAJBR CeMPeNENT Pt 6 H- 2 TYPEsa

'sINGLE PARTICLE BMJ

P.T6.Hl“.388£ 01 (PH).T8-O(GOSO"2.925E 01

DENSITY FUNCTIBN
CSTBRE(.4)--6o680E-01

516‘TDA_ KIKO

ISPHMG.S.)' 0 ITDRP=O IA=16

IPUPO
J- 4. ' E319-713

TYPE-3
“/ 2
00075
TYPE-5
“/ 2
0997

BMJ(QPIQ702825 03

fiAJGR COHPBNENT p. “
SINGLE PARTICLE BMJ
P'TBIH81.256E O3

DENSITY FUNCTIBN
CSTeREI 4).-2.5126 00

189'

12» a H2213.30

NI 2

BMJ(DOWN)-8.091E 02

H- 2 TYPE-s

(pH).Ter(GOSO)§80374E 02

 

‘3!"-

 

 

elb’TDA K.K.

ISPINIGOSO)' C
IPU‘O . .
J8 10 El 7031

TYPE¢3
“I 2
.0308
TYPE-5
“I 2

.0005
BEJ‘UPII30356EIO4
MAJBR‘CBHPGNENT
slNGLE PARTICLE B

P-TB-H'162#1E~01

- DENSITY FUNCTION

190

MGNBPBLE SHIFT

ITDRPso .IA.;6 123 3

6 N310

5/ 3 5/ 2 6/ 3

'358 ~332 -.231

5/ 3 5/ 2 6/ 3

.049 .005 ..003_
BEJ‘DBWN)'1.119E-04

P' 5 3 TYPEQB

EJ

CSTBREI 2)"5'9765'02

CSTGREI AI- 3.u10E-02

HW31303D

6/ 2

0045

6/ 2
00001

(PH)-T5'O(Go$o)‘80271E'02

 

 

191

BIG'TDA K.K. MSNGDQLE SHIFT

 

ISPHWGoSo)= C ITCRP=C IA=16 IZ‘ 8 Hw=l3o30
IPU=C
#3 1' ' E3430169 N=1C
TYPE-3

4/ 2 5/ 3 5/ 2 6/ 3 6/ 2

'000 .098 '0330 0087 9.011 t

3

TYPE-5 ‘

4/‘2 5/ 3 5/ 2 6/ 3 6/ 2

.0115 0926 '0051 3015 .0028
BEJ(UP)I8.C7#L-CB I REJ(DBNN)8?6691E'02

MAJBR CeMPeNENT P8 5 H- 3 TYPE*5

SINGLE PARTICLE BEJ
P'TG'H'1024IE'CI (pH1'TB'O(GOSo>380271E'02

DENSITY FUNCTIBN
CSTBRE( 2)=-8o877E-01
CSTBRE< 4) I 5.132E-01

 

blé'TDA K.K.
ISPIK(GoSo)= Q ITCRP:
IPUBO
J8 1' E=130597
TYPE.3
“I 2 5/ 3
.054 ~038“
TYPE.5
“I 2 5/ 3
P'O45 0350

BEJ(UP).1|361E'02

MAJSR CBMPBNENT P: 5

SINGLE PARTICLE BEJ
P'TB'H'EOQBIE'OI

DENSITY FUNCTIBN
CSTBRE( 2)--3.933E-CI
CSTBRE( “1' 2.222E-01

192

MBNBPBLE SHIFT

C IA=16 IZ= 5
\=10
5/ 2 6/ 3
0816 ~0242
5/ 2 6/ 3
0020 .0009

8EJ(DGAN)=“o535E-03

Pa 2 TYPE=3

 

 

M43.30
l J
6/ 2 F
.022 if
I;
6/ 2
..011

 

(PH)-T6-Q(Go8o)‘106545'01

193

RIG‘TDA K.K. MBNBPBLE SHIFT

ISRINIS.S.)= o ITDRP=O IA§16 Iz- 8 Hwa13.30
IPU=O
JP 1- ' E‘150131 N310
'TYPE.3 .
b/ 2 5/ 3 , 5/ 2 6/ 3 6/ 2
.0576 '0096 0203 . 0748 I 0235
TYPE-5 .
“I.2 5/ 3 5/ 2 6/ 3 6/ 2
' .0021 0012 0005 00#7 0012
BEJIUPI-5.9985-04 ‘ BEJIDewN)-1.9995-OL

, RAJeR CeMPeNENT P- 6 H- 3 TYPE-3

SINGLE PARTICLE BEJ '
P-TO-H-3o102E-01 (PH>-TB-o<G-S-1'4-1355'01

DENSITY FUNCTION .
CsTeREI 2>--1.933E-02
CSTBRE(’»)' 2.1565-02

 

 

194

Bib-TDA KoKo 1 MeNePaLE SHIFT

15PIN(G.s.>= o ITDRP=O 1A:15 12a 8 Hw-13.3o
IPu-o
J! 1' ' E8170156 N310
TYPE-3
4/ 2 5/ 3 5/ 2 6/ 3 e/ 2
.027 < .002 .006 ..oas ..011
TYPE.5 .
' u/ a 5/ 3 5/ a e/ 3 6/ 2
' ...319 ..049 --160 .898 .248
BEJ<uP).e.9on-oa BEJ(DewN)-2.3OSE~OZ

HAJBR CBMPBNENT P- 6 H- 3 TYPEts

. SINGLE PARTICLE BEJ A
P-TB-H-3o102E-01 (PH).Te.o(5.s.1.4.1355.01

DENSITY FUNCTIBN‘
CSTBREc 2)- 29862E-01
Csrenzc 4)! 3-183E-02

 

516‘TDA K’Kl

ISPIN(GOS0)‘ Q
IPU'O

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J. 1. £319.55“

TYPE-3
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MAJBR CBMPBNEKT

5/ 3

0008

5/ 3

0006

P: 5

SINGLE PARTICLE BEJ

P-TB-H-2.«81Eoo1

DENSITY FUNCTIBN
CSTBRE< 2)=-1.388E OO
CSTBRE< 4): 5.4335—01

195

MENBPBLE SHIFT

5/ 2

0940

6/ 3

'9001

6/ 3

0017

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2 TYPE=5

P41A31303O

6/

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0165

(PH)-T6-Q(GoSo)‘106545'01

 

It:..‘l._
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196

e1e-TDA K.K. MONBPBLE SHIFT

ISRIN<G.s->- o xTcRRao IA=16 12s a Hw=13.3o
IPU!O
'J8 1- - a-21-092 R.1o
TYPE-3 ‘ ‘
4/ 2 5/ 3 5/ 2 6/ 3 6/ 2
case 4 .052 --o38 ..051 .953
TYPE-5.
4/ 2 5/ 3 5/ 2 e/ 3 e/ a
oo12 coco ooos .061 .015
' BEJ<UP)R2.279E-O4 BEJ‘DBNN)-7.597E-05

MAJGR campeNENT P- 6 H- 2 TYPE93

SINGLE PARTICLE BEJ
P-TBOH'60203E'02 (PH)-TB-0(Go$o)I8-2715'02

DENSITY FUNCTIBN
CSTBRE( 2)--7.351E-03
C$TORE( 4)- 1.1346-02

 

 

 

*9
“vi-i "-

197

Gib-TDA K.K. MBNBPRLE SHIFT

ISPIN(GOSO)3 U ITDRDSC IAzlé 12: 8

IPUIO

J- 1- Es22.623 N310

TYPE-3

’ 4/ 2 5/ 3 5/ 2 6/ 3
.0006 --002 ~0004 ..001

TYPE.5

’ 4/ 2 5/ 3 5/ 2 6/ 3

'891 0123 ozaa

BEJ(UP)I39361£ 00

MAJBR CBMPBNEKT P- 4

SINGLE PARTICLE BEJ
P'TBOH'307225‘01

DENSITY FUNCTIBN
CSTBRE( 2)=-4o866E'01
CSTBRE( 4)- 1.2158 00

0319

QEJ(DB~N)-1o123E 00

H= 2 TYPE=5

(pH).Ta-C(G.So)87o44kE’Ol

Hk313030

6/

[‘1

..01b

6/ 2

0174

 

198

e16-ToA K.K. MBNBPBLE SHIFT

ISPIN(Goso)= c ITDRPso 1A-16 12: 8 HW'lSoBO
IPU=O .
J: 1. ' Ea25-458 N.1o
TYPE-3
4/ 2 S/ 3 5/ 2 6/ 3 6/ 2
-°OO“ ‘ -'002 '003 0003 00011
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‘ 4/ 2 5/ 3 5/ 2 6/ 3 6/ 2
~0033 .021 --169 -.299 .938
BEJIUPI-ao181L-01 BEJ(DBWN)I3¢060E-01

. NAJBR CBMPBNENT P- 6 HP 2 TYPE-5

SINGLE PARTICLE BEJ _ .
P-TB-H-6.203E-02 (PHI-Te-oIe.s.>-8.271Esoa

DENSITY FUNCTIBN
CSTGRE( 2): 262665-01
' CSTORE( 4).-602395'01

 

199

e16-TDA K.K. MONBPGLE SHIFT

ISPIN(G-Sa)s o ITDRPao IA-lé

 

I23 3 Hw313o30
IPUto , * .
J' 2' ' E' 80869 N310
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TYPE-3 E
“/ 3 4/ 2 5/ 2 6/ 3 6/ 2
0971 0222 0050 , 0060 0006
I
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#/ 3 4/ 2 5/ 2 6/ 3 5/ 2
'041 0008 '003' 0001 0002
BMJ(UP,'10089E'01 BMJ(DBWN)'20179E002

HAJGR CBMPBNENT P- 4 H- 3 TYPE!3

SINGLE PARTICLE BMJ

PPTB-H'1ob37E'02 (PH>'T5'O(GoSo)'10965E'02

DENSITY FUNCTIGN
CSTBRE( 2)I'1o248E-02
CSTBREI aI--1.373E-01.

Blé-TDA

'ISPINIG.s.I= o

IPU'O
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TYPEQB
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200

McNaPeLE SHIFT

E=120312

ITDRP=C IA.16 12: a Rw-13.3o'
Nalc

u/ 2 5/ 2 6/ 3 6/ 2

~0017 0002 '-§010 0002

«x 2 5/ 2 6/ 3 6/ 2

0236 9071 .0005 0070

’BMJIUPI-1.911E oo

BMJ(DOWN)-3.821E001

MAJeR-CeMPeNENT P- a H- 3 TYPETS

SINGLE PARTICLE BMJ

P-TB'HflioOHSE 00

DENSITY FUNCTIBN

CSTBRE‘ E’s-203385'01
CSTBRE‘ #)0'50023E-01

(PHI-Te-o<sos.I-I-259E oo

 

Ly

201

eI6-ToA K.K. MBNBPGLE SHIFT

 

ISPINIG.s->= O ITDRP-o 1Aa16 Iz= 8 Hw-13.30
IPu-o
3. 2. - E8130868 N210 E
TYPE-3
' 4/ 3 4/ 2 5/ 2 6/ 3 6/ 2

..157 .476 6.075 .848 ..153
TYPE-5 ‘
‘ 4/ 3 4/ 2 5/ 2 6/ 3 6/ 2

ooo9 0014' ~0003 5037 2 ..003

BMJTUP)340559E'01 . BMJ(DOWN)IS.119E302

MAJOR CBMPGNENT P- 6 H- 3 TYPE-3

SINGLE PARTICLE BMJ
P-TB-H-4-306E-oa <PH>-Te-oIa.s.I-3.44uE-oa

DENSITY FUNCTIBN
CSTBRE( 2,. 1.384E-02
CSTBRE( «I. 2.8565-01

202

816-TDA K.K. ‘ MGNBPBLE SHIFT

 

 

ISPINIG.3.)= O ITDRP=C 1A816 128 8 Hw'13.30
IPU'O
J! 29 ‘ E‘lSOSOS NIlO
TYPE-3
4/ 3 4/ 2 - ‘5/ 2 6/ 3 6/ 2
.0089 064‘!- 90615 .0441 .0048 J
TYPE-5
' 4/ 3 4/ 2 5/ 2 6/ 3 6/ 2
aces ~016 --043 --034 .003
'BHJ(UP)gaouh9E-01 BMJ(DOWN)-6oBSBEIOE

MAJOR CeMPeNENT PI 4 WI 2 TYPEsa

SINGLE PARTICLE BMJ
P-TB-H-1.148E-01 (PH)-T8-o(G.So)a1o377E-01

DENSITY FUNCTIBN
CSTGRE( 2)- 1.736E-01
CSTBRE( “Tu 1.837E-01

B16'TDA

ISPIN(GoSo)' 0

IPU'O
JI'2-

TYPEw3
4/ 3

--142

TYPEUS
“/ 3

'0001

203

MBNBPBLE SHIFT

ITDszc 1A316

53160449

'u/ 2
.525
4/ 2
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BMJ(UP)I5.021E-01

MAJBR CeMPaNENT P- 5

SINGLE PARTICLE BMJ
P-TfioH-5.306E-02

DENSITY FUNCTIBN
CSTBREI 2)-~2o610E-01
CSTBREI 4)‘ 4.0935-01

ll 8
N310
5/ 2 6/ 3
I775 '0275
5/ 2 6/ 3
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BMJ(DBNN)01.004E-01

H' 2 TYPE-3

 

Hw'13030
L
6/ 2 F
'01#5
L
6/ 2
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(PH)'T0'0(GoSo)820122E'02

204

Big-TDA K.K. MBNBPBLE SHIFT

 

ISPINIG.s.Is o ITDRPuc IA-16 12: 8 Hw-13.3o

IPu-o .

J: 2. ' 5917.033 N310

TYPE-3. ,

‘ 4/ 3 4/ 2 5/ 2 6/ 3 6/ 2

.0004 0026 0027 00059 0000

TYPE-5 ‘
4/ 3 k/ 2 5/ 2 6/3 6/ 2
..059 .301 --028 .943 9-109

BMJ(UPI-2o6895~01 BMJ(DBNNI-5.378E-02

I

MAJOR COMPGNENT P- 6 H- 3 TYP2.5

SINGLE PARTICLE BMJ
P-TO-H'2.511E-02 (PHI-Te-OIGos.)n2.009E-oa

DENSITY FUNCTION
CSTeREI 2I- 9.077e-02
CSTeREI «I. 1.872E-01

205.

BlvaDA KOK0 MBNBPBLE SHIFT

ISPIN‘Goso)‘ 0 ITDRP=O IA'16 IZ‘ 8 HW‘13030
IPU=O ~
J: 20 . E1150642 0310
TYPE-3
4/ 3 4/ 2 5/ 2 6/ 3 6/ 2
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TYPE-5
. “/ 3 “I 2 . 5/ 2 6/ 3 6/ 2
.0109 0662 00696 .0234 '0038

BMJIUPI-u.3ISE-01 BNJIoewNI-8.6SOE-02

MAJBR COMPONENT P' 5 H! 2 TYPE95

SINGLE PARTICLE BMJ I
P-TB-H010519E oo (PH)-TB-O(GoSo)I600765'01

DENSITY FUNCTION
CSTBRE( 2). 2.2885 00
CSTSREI 4,9-60320E-01

 

 

O16'TDA

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IPU‘O
JI 2.

TYPE-3
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BMJ(UP)01.301E-O1

206

MONOPOLE SHIFT

E3190935

MAJOR_COMPONENT PI 6

ITDRPIO IAslé 12a 8
4/ 2 5/ 2 6/ 3
0181 0072 0070
4/ 2 5/ 2 6/ 3
0030 0024 -0011
BMJ(DOWN)-2.602E002
TYPE‘3

SINGLE PARTICLE BMJ

P-TO-H-1o991E-04

DENSITY FUNCTION

CSTSREI 2>--8.277E-02
CSTBRE< LI- 1.886e-01

(pH)-T5-o(G.S.)010593E'O“

Hw=13o30

6/ 2
0976

6/ 2
0009

 

207

e16-TDA K.K. ' MONOPOLE SHIFT

 

ISPINIG.s.>= o. ITDRPsO IA=16 12a 8 HL=13.30
IPu-o
J: 2: - E3200131 N810 !
TYPE-3
- 4/ 3 4/ 2 5/ 2 6/ 3 6/ 2
code --021 --oas .006 *-.031
TYPE-5 F”
I 4/ 3 #/ 2 5/ 2. 6/ 3 6/ 2
00186 0615 0697 00211 00229
BMJ(UP)01.12IE 01 BMJ(DOWN)-2.2435 00

MAJOR COMPONENT P- 5 H- 2 TYPE05

SINGLE PARTICLE BMJ
P-TB-H-IoSISE oo (PHI-TO-OIGoS.)n6.o765-o1

DENSITY FUNCTION
CSTeREI 2I--2.292E oo
CSTeREI 4). 2.361E oo

208

616-TDA K.K. MONOPaLE SHIFT

ISPIN(GoSo)= C ITCRD=O IA=16

IPU=C
J: 2' E=230145
TYPE-3 V
4/ 3 4/ 2
0002 ‘ .0004
TYPE-5
' 4/ 3 4/ 2
.0125 0188

BMJ(UP)!3o523L 00

MAJOR CBMPeNENT P8 6

SINGLE PARTICLE BMJ
P-Ta-H-1.884E-01

DENSITY FUNCTION
CSTBRE( 2,2-u.204E-01
CSTBREI 4)- 907895-01

IZ= 8
\310
5/ 2 6/ 3
'0005 '0001
5/ 2 6/ 3
0129 0048
BMJ(DOWN)I7oC45EOOI

H. 2 TYPE'S

HWS1303O

6/ 2

.0017

6/ 2
0964

(PH)'TO-O(GoSo)8105075'01

 

209

616-TDA K.K. MSNOPOLE SHIFT

ISPINI6.s.Ia o ITDRP=C IA=16 Iz= 8 RN=13.30

IPU'O
JO 3- ‘ E3 50082 N: 6
TYPE-3
#/ 3 4/ 2 6/ 2
0921 0286 '0262
TYPE-5
“/ 3 4/ 2 6/ 2
0019' 0000 00001
BEJ(UP)'40881£ 02 BEJ‘DOWN)'60972E 01

NAJBR CSNPSNENT P- 4 H- 3 TYPE-3
SINGLE PARTICLE BEJ
P’TB'H'BOésui 01 (PH).T6'O(GOSO)'3'166E 01.

DENSITY FUNCTIGN
CSTOREI 4).-7.37SE-01

210

816'TDA K.K. MeNePeLE SHIFT

ISPIK(G.S.)= C ITDRp=3 IAsle IZ= 8 Hw=13.30
IPU'O
J‘ 3' . 53130312 \= 6
TYPan

#/ 3 4/ 2 6/ 2

0006 .0063 0024
TYPE-5

“I 3 4/ 2 6/ 2

0984 .0167 'OOC
BEJ(UP)319273E 02 BEJ<DBWN)'10819E 01
MAJBR CBMPBNENT P3 a H' 3 TYPE=5
SINGLE PARTICLE BEJ
P’TB'H'3069“E 01 (DH)'T5‘C(GoSo)I3o1668 01

DENSITY FUNCTIBN
CSTBRE( 4)--3-767E-01

211

615470A K.K. MBNBPBLE SHIFT

ISPIN(G¢S¢)I O ITDRP‘C 1A316 12‘ 8 HW'1303O
IPU'O
J‘ 3' ' E'13026“ N3 6
TYPEQB

#/ 3 4/ 2 6/ 2

.0350 0903 '02#2
TYPE-5

“I 3 4/ 2 6/ 2

0066 0000 O0001

BEJ(UP)-1.333L 02 ’ BEJtoewN)-1.97sa o1

MAJBR CBMPBNENT P3 u H' 2 TYPE'3
SINGLE PARTICLE BEJ A -
P-Te.H-2.9555 o1 (PH)'Te-O(GoSo)'20533E 01

DENSITY FUNCTION
CSTGRE< 4)"3o9265'01

212

816'TDA K.K. “SNBPBLE SHIFT

‘ISPIN‘GOSO): Q ITDRP=C 1A916 128 8 HN31303O
IPU=O
J8 3' ' E=170892 N: 6
TYPE-3
4/ 3 #/ 2 6/ 2
0006 0000 0035
TYPE-5
4/ 3 4/ 2 6/ 2
0166 0980 '106
BEJ(UP)c1.77EE 02 BEJ<DBMN)-2.531E o1

MAJGR CBMPBNENT 'P- a H: 2 TYPE-5
SINGLE PARTICLE BEJ
P-TG-H-2.955E c1 (PH)-Te-o(e.s.)-2.533E o1

DENSITY FUNCTIBN
CSTBREt 4)--4.444E-o1

213

Blb'TDA -KIK9 MENSPSLE SHIFT

BEJ(UP):8042#E 01

MAJBR CBMPBNENT P' 6

. SINGLE PARTICLE BEJ
P-TGOH'60649E 01

DENSITY FUNCTIGN .
CSTBRE( 4" 3.064E-01

ISPIN(G.S.)= C ITDRP=O IA-16 12! 8 Hw'13.30
IPU'O
do 3- ' Eald-786 N. 5
TYPE.3
' 4/ 3 4/ 2 6/ 2

0168 0316 0933
TYPE.5 -

4/ 3 4/ 2 6/ 2

00009 --O33 6006

BEJ‘DBWN):1¢203E 01

H= 2 TYPE'3

(PH)-T6-o(GoS.)-3-800E 01

214

(elé-TDA K.K. MaNePeLE SHIFT

ISPINIGoS.)* o ITDRP=O IA=16 12- 8 Hw-13.30

IPU‘O '
J8 40' E3150793 N: 2
TYPE-3

4/ 2

10000
TYPE-5

“/2

.022

BMJ(UP)a39289E 02 BMJ(DGNNI-3-654E 01

MAJBR CBMPBNENT P- 4 H- 2 TYPE'3
SINGLE PARTICLE BMJ
P-TB-HCQ.388E 01 (PH)’TB'O(GOSO,'20925E 01

DENSITY FUNCTIBN
CSTORE( 4).-5.3396-01

 

215

616¢TDA K.K. MBNBPBLE SHIFT

ISPIK‘G.S.)£ O ITDRP=C IAslé I2: 8 . .Hk313030
IPU'O
q: 4. ' E=180773 N8 2
TYPEI3
4/ 2
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4/ 2
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BMJ(UPII7oA746403 BMJ(DOWN)-8.305E 02

NAJBR COMPBNENT Pa 4 HI 2 TYPE'S
SINGLE PARTICLE BMJ
PoTepH310256E 03 (PH)'TB'C(GOS.)'8037“E 02

DENSITY FUNCTIBN
CsTeRE( 4)--2o5aSE 00

 

216

Blb'TDA K-Ko MBNGPBLE SHIFT

ISPINIG.S.>= c ITDRPac IA=16 12* 8 Hw=13530
IPUBO ' .
J' 3' E8240191 - N: 6
TYpEua
4/ 3 4/ 2 6/ 2
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TYPE-5 .
“I 3 4/ 2 6/ 2
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BEJ<UP)=3.149E 02 BEJ(DBWN)-“o498E 01

UAJBR CBMPBNENT P- 6 H' 2 TYpE'S
SINGLE PARTICLE BEJ
P-TG-Ht6ob49E o1 (PH)-TB-o(GoSo)8BoBOOE 01

I

DENSITY FUNCTISN
~CSTBRE( 4,. 5-9245-01

 

 

 

 

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DENSITY FUNCTIGN
CSTCREI «,- “01‘35'02
CSTSREI 6)‘ 7.2695-02

ISPINIG-SoIO 0 ITDRP-o IA-ao 12.20 HH-10.So

IPU'O

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5'J‘UP):3.18“E 02 BMJ(DBwN)I3o538E O1

EAJSR carpeN£~T P- 7 H- 6 TYPE-3

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F'TQ'H'3O86OE CO (PHI-TO-OIGoSoIISofia1E oo

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220

CAuo-TDA K.K. neNePeLE SHIFT

ISRINthSOI' 0 ITDR°'O IA'“0 12.20 le10050

IRU'C
J! 5. El #0378 NI 6
TYPan
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BEJ(UP)I10855£ 06 BEJIDOwNI-1.6866 05

@AJGR CCMPBVENT P- 7 HI 5 TYPE-3
SIxGLE PARTICLE BEJ
P-Te-H-1o3665 05 (PH)'TO'O(GoSo)I90937E O“

DENSITY FUNCTION
CSTEREI 6)I 206035.01

 

 

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159:3(60503' 0 ITDRRIO IAIHO 12.20 HH'10050

IPu-o

J- ~- E- 7.151 ~-12

TYPE-3

‘ 9/ 6 9/ a a/ A 7/ 6 7/ s
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TYPE-5

' 9/ 6 9/ u 8/ 6 7/ 6 7/ s

0018 0015 .013 0961 .097
BMJIUPI-1.666E 03 BMJ(DewNI51.8SIE oz

fiAJeR COMPONENT P- 7 H- 6 TYPE'S

SINGLE PARTICLE BMJ
P-Te-H-8.328E 02 (PHI-Te-OIG-SoII7oh03E OZ

DE~STTY FUNCTISN
CSTBREI uyo 3.3085-01
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7/ §
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2224

cAuo.TDA K.K. HONSPCLE SHIFT
ISPINIGos.)o o ITDRP-o IA-Ao xz-zo Hw-Iooso
IPu-C
J: 5. E! 70869 N- 6
IYPE.3
9/ b 7/ 6 7/ u
0018 '0081 '0031
TYPE-5
9/ a 7/ 6 7/ A
.307 .992 "085

BEJIUPI-7.1575 05

.fAJBR coMPeNEAT Pt 7
SIAGLE PARTICLE BEJ
P-TB-H-1.366E oS

DENSITY FUNCTION
CSTEREt‘byu 1.617E-01

EEJIDBHNI'66507E O“

H' 6 TYPE'S

(PHI-TO-OIGOSo)090937E O“

2225

CAac-TDA K.K. MONOPOLE SHIFT

ISPINIGoSo)' 0 ITDRPIO IAIhO IZ'BO Hw910050

190-0
J' 1- E! 70190 N-16
TYPE-3
10/ 6 10/ 5 9/ 6 9/ 6 3/ 6 8/ s 8/ A 7/ A
osab o011 ~o156 .015 .697 -oo6~ oaaz ooaat
TYPE-5 .
' 10/ 6 10/ s 9/ 6 9/ 6 a/ 6 a/ s a/ 6 7/ 6
'013 '0001 '0006 '0001 .086 00006 0015 .0012
BEJIUPIvI.606E-04 BEJIDewNI-6.oaaa.os

"AJGR COHPCNENT 9' 8 H' 6 TYPE'3

SI~GLE PARTICLE BEJ
P-Te-H-3.143E-c2 (PHI-To-otsos-I'601915‘02

CgLsTTY FUNCTION

CSTBREI 2)"1023OE'03
CSTBREI 6)"506165-02
CSTBQE( 6). 109355'02

 

2226

nonumm¢.o ..o .uampmu
moumm«o.s ... .maopmu
~o.un~m.n...~ .uaohmu

zomhuzau >-mzmo

mo.ua6o.n...m.o.o.op..:.. .o.omoo.a.z.op.6
axo moo.»a<. wool—m

n.un»» 6 .x o .m Lzuzoaxoo «66¢:

. no-mmmn.u..zzoo.vxm nonuuum.m..aaoorm
moo.
noo.. hoo. moo. omw. moo. coo. moo. noo. mac.
6 \n
o \n . \o m \o o \o c \m m \m o \m . \o« o \o«
m.m6>h
mmo.
one. coo. mmo. mom. ooo. «do. mac. ~40. moo.
. \n
o x. 6 \o m \o 6 \o . \m n \m o \m . \02 o \oa .
nom6>h
om.‘ n.».n..u .m .1
. o.oa~
om.oa.:x om.- o..<~ o.nao»~ o ...m.o.z.6m~

huaxm uooaozoxo. .1.! <o».o.<u

2227

 

moo.
o \h

soc.
c \5

«mo.
n \n

can.
m \h

GNNOO
o \h

mmm.u
o \h

moo.
c \0

do“.

«0 uom~.«o..m.uoooo»u.xn.

«no.
0 \o

nmo.
o \n

om.0a-31

«o.o.~m.n...6 .666666
6o.ufldm.m ... ooaopmo
zoopozo. >L~mzoo

mo “~66.~.x.6».6
ouo wouopm<6 woozom

n-mnrh o a: a an hzuzonrou aufi<x

~o uonm.uo.zzooofium

moo.
6 \«

ONOOO

c \m

o~.-

no ummo.no.m3.fium

moo. 6oo. ooo.
m \m o \m o \0» .
6.66;»
"so.. 66o. “mo..
6 \m 6 \m 6 \66 .
m.m6>h
oauz 06m.6 .m .m .1

0.31"
o6.<~ o.nmo»~ o ...m.o.z_nmu

p.216 uooaozo: .x.x <o».o.<u

2228 '

 

CAao-TDA K.K. HONBPBLE SHIFT E!-
ISPINIGoSoI' 0 ITDRPIC IAI40 IZ'ZO Hw010-50
190-0
J' 1' E3 90737 N316
TYPE-3
' 10/ 6 10/ s 9/ 6 9/ a 8/ 6 8/ 5 8/ 6 7/ 6 £-
0138 0006 --ooa oooa -o22~ --oooa 0017 --ooz
TYPEOS _
' 10/ 6 10/ 5 9/ 6 9/ 6 a/ 6 a/ s 8/ 6 7/ 6
“0272 ' '0022 0021 -oo16 .922 vooao 0065 00038
BEJIUPII7o628E-O3 aEJIoowNTca.s~3E.oa

gAuea CSMPONENT P- 8 H- 6 TYPE'S

SINGLE PARTICLE BEJ
P-TS-H3361h3E-OZ (PHI-Te-OIGoSoInk-191E'OZ

‘CESSITY FUNCTION

CSTOPET E’s-5'682E-02
CSTSRE( «II-1.3616-01
CSTePEI 6I- 5.7725v02

 

2229

 

«mu.

0 \n

-o.n

o \n

 

m III... ....w.
EMI‘ k L aww

6o.6m66.6...6 .maokmo
«o-uusc.u ..6 .maohmu
6o.umm6.6 ..m .uaoLmu
zo.»o436 >-mzmo
mo.o6M6.....m.6.o.o»..166 mo.u66m.m.x.o».a
ozm mounpm<a 646266
m.um>» 6 .1 6 .6 pzuzoazou «616»
. monumon.mo.23oooozm «oouamo.6..aoooam

mno.

“no. m6o. o6m. 66o. omo. moo. one. mmo.

. 6 \m
6 \6 m \6 6 \6 6 \m m \o 6 \o 6 \06 6 \oa T
muuu>h

moo..

Mao.l moo.0 mum... «.00.. moo.| moo... Noo.o ”No.6

6 \n
6 \6 m \6 6 \6 6 \m 6 \m 6 \m 6 \66 6 \66 -
n.ma.»
om.7 nmm.m .u om .1
. Diana
om.o«.31 om.~_ 06.<_ o.amo»~ o ...m.o.z_nm~

.6616 6466626: .x.x «op-o66u

 

2130

moo.

c \n

mac.
6 \n

onm..
m \h

66o.
m \n

 

«do.

6 \n

odoot

o

\u

ONOQO

6 \w

«No.6

6

\n

no wonm.a...w.o.ono»o.1ao

Man.
0 \w

on«..
o \&

om.o«-31

Houucnm.«...6 .umohmu
«onusmo.6 ... .uaopmu
zompuzou >h~mzmo

mo um66.m.x.o».u
oum mJuHPa<n moozmm

6.66.» . 6 .1 6 .6 626266266 66666

no umoo.m..7soo.fium

600..
6 \m

000..

a \m

om.-

mo u666.«..¢3oomm

600.. 600. 000.
m \m 6 \m 6 \06 -
mumn>r
600.. «mo. 660.
m \m o \m 6 \0a
numn>k
66.2 .66.m .6 .m .6

. 0.30”
o:.<~ clamor" o u—.m.0.2~nm~

Charm moonozor .z.x <o».o6<u

 

.2131

two.-
c \5

M66.
6 \u

moo.
m \b

666.
m \s

«cc.
6 \m

hmnoo
o \5

"oo.
6 \o

”“00.
c \0

mo woo~.m...m.u.ooo»6.xmv

mn«.6
6 \o

n«m.o
o \@

om.o«.31

mo.u6.6.n...6 .umohmu
«o.mmmm.m...6 .uaopmu
zouhozo. >pomamo

mo uono.~.z.o».6
666 6466666. ”66666

n.66>» m .x a .6 .zuzoarou «616»

«o w«on.cuazzooofiwm

“000.
t \m

”MOO.
c \m

omu-

mo wum~.m-.a3.flmm

woo.o noo.o moo..
m \m 6 \m 6 \ou T
mono».

«50.. mod. «mo.

6 x 6 \m 6 mo“ .
m m.un>»
z .66.. .u .m .6
on. 063nm

o6.6~ o.6zo»~ o ...m.o.zoam~

666:6 666.626: ..x.x <o».o66o

2132

CAuo-TcA K.K. HONOPGLE SHXFT

{SPIN(GOSO}' 0 {TDRPIO XAUbo x2020 HH'lOoSO
IPU'O
4- ~- 5- 9.079 N-12
IYPE.3 A
9/ 6 9/ a 8/ u 7/ 6 7/ S
econ boozz ..939 ooos~ 096“
TYPE-S .
9/ a 9/ a a; a 7/ 6 7/ s
.002 'OOOS C001“ 00025 0225
avucup>.«.157: 01 BMJ(DBHN)-h.619fi oo

EAJCR CEHPCNENT P- 7 H- 5 1YPE-3

SINGLE PARTICLE BMJ
P-Te-proBBBE oz (PH>-TO-o(GoSo)-1o189E'02

DENSITY FUNCTION
CSTen£( 6:3'709165'03
CSTBRE¢ 6): 301356-02

7/ §
.0117

7/O
-oo~1

 

 

2133

am".-
¢ \h

m::.
c \5

005.
m \h

00”..
m \h

«cammmm.~...o .uwopmn
«o.uooo.n .ae .uaowmu
zoapuzau >»~mzmn

mo woom.mu..m.o.ono»o.1u. No wonm.aoxuohn.
Gum wJunha<u wJozmn

m-unrh m .1 h an hzuzoazou ¢0fi<w

mo umm..~..zxoo.uum 1 no u«~n.«..ap.amw

we“. mno.. hum. m«o.. moo.u 000.. moo.
o \s c \o o \o ¢ \« m \m o \m c \o« .
. m.ma>k

««~.- soc. ono.. ~:o.u :co.o o¢~. 000.
o \u t x» o \w . \m m \m o \m ¢ \Oa .
m.ma>u
nuoz omm.o«.u .n .w
. 0.3a"
om.o«.:x o~.- o..<~ o.aco»~ o ...m.o.z_am~

huaxm “4010201. .x.x <0».o.<n

‘2134

CAhO-TOA K.K. nenepage snxrr

Ispxste.s.)- o :TORP-o xA-«o xz-zo uw-xo.so
xPu-o
JI b. EliOl‘Zs Nl12
TYPE-3
9/ 6 9/ 6 a/ 6 7/ 6 7/ 5
-~001 oooa «008 .016 -.229
TVPE.5_
‘ 9/ 6 9/ u 8/ 4 7/ 6 7/ 5
~009 '0022 --06o --oaa .967
' BMJ(uP)-46996E on BMJ(DOWN)!56551E 03

flAJB§ COMPONEN? P- 7 H- s TYPE'S

SINGLE PARTICLE EHJ
PCTOOH.3.829E 03 ‘PH"T°'°‘GOSO’.3.“O“E 03

DshsxTY FUNCTION
CSTeQE< 6)- zouzoE 00
CSTSRE( 6)--1o56uE OC

7/ ~
0016

7/ h

'0198'

235

CAga.TDA K.K. HONSPOLE SHIFT

BAJGR CEPPBNENT P- 7 H- s 7YPE'1

SINGLE PARTICLE BEJ
-P-To-~-a.1soE c2 tPH)-Te-o(5.s.)-u.763£ oz

szsxrv FUNCTION

CSTaRE( 6" 8.301e-01
CSTORE( 6a--6o597E-01
CSTcflit 8)- uCOOE 00

ISPINtG-Soia 4 ITDRP-o IA-us XZIZO Hw-icoZS
[PU-c
J! 3- E' 30131 N-16
TYPE-1
' 7/ 6 7/ 5 7/ a
0612 0609 0274
TYDE.2
11/ 7
0385
TYPE-3
‘ 8/ 6 8/ b 10/ 6 9/ 6 9/ 5
02A? .125 -o117 ‘ 0235 00251
TYPE.“ ' '
B/ 6 8/ b 10/ 6 9/ 6 9/ 5
ooabz ~0017 0311 '0006 '001“
BEJ‘UP)-5.965E O3 BEJKDOWN)'16281E 03

9/ u

0.1“"

9/ 4

00000

 

2136

CAQBOYD‘ _ ‘OKO HONepfiLE SHXFT

ISP!N(G¢S.)0 6 lTDRP-O IA-ua !z-2o Hw-xooas
IPU'O
Jl #0 E! 50557 NIIO
. TYPE-1
' 7/ 6 7/ s 7/ 6
.0269 '9“? .'169
TYPE-2
11/ 7
0015
' TYPE-3 ‘
6/ 6 9/ 6 9/ 6
.0019 .0003 "OCB
TYPE-B
' 8/ u 9/ 6 9/ 6
.00033 0002 "°2°
BMJ(UP)-1.5ZSE O“ BHJCDOHN1-16806E 03

@646R cenPeNENT P- 7 H- s TYPE-1

SINGLE PARTICLE BVJ
P-TO-h026899E O3 (PH)'TO-O(Goso)'205775 o3

DENSXTY FUNCTION

CSTSRE< 6:- 1.299E oo
csrenee 5)--3.593£-01
cstaazt 8)- 1.1505-03

 

237_

CA§3.TDA K.K. HONBPOLE SHIFT

1591~x6.5.)- b ITDRP-o xA-aa Iz-ao HH-10o25
{DJ-c ..
J' 2- E' 50667 N319
TYPE-1
' 7/ 6 ' 7/ a
0938 0303
TYPE-2
11/ 7
0092
TYPE-3 , ' , ' 6
’ 8/ 6 8/ 5 8/ 6 10/ 6 10/ 6 9/ 6 9/ 5 9/ Q
.0013 '0‘1 '012 0005 0008 0050 0013 000‘
TYPE.“ .
' 8/ 6 8/ 5 8/ b 10/ 6 10/ 6 9/ 6 9/ 5 9/ b
"036 .107 '016 0001 0010 0002“ 0025 00.2

BMJ(UPII26276E oo - enu:oow~$-a.ss1E-o1

FAJOR COMFONENT P- 7 H- 6 TYPE!1
SINGLE PaRTICLE BMJ

P.73.un1.550£ oo (PH)-TO-O(G-S.)020381E OO

DENSITY
CSTORE(
CSTBREt
CSTEQE<
Csrene‘

FUNCTION

2). 603285’01
6)"705CBE‘01
6’0'20283E903
8,006.1625I03

'238

‘CAQQOTD‘ K.K. MONOPOLE SHIFT

nAJoa CeHPONENT P- 7 H- 6 TYPE-1

SINGLE PARTICLE BEJ
P-Tb-H-1.2uSE oz (PH)-Teoo(g.s.)61.uggg 02

cgasxrv FUNCTION

CSTBQE( ugn-30997E-o1
csrea£( 6). 1.125e-01
csronac a). .cooE oo

ISPINtG.s.)- 4 ITDRP-o IA-ug xz-zo Hw-1o.25
IPU'O
J- 3- E- 6.787 N616
TYPEol
' 7/ 6 7/ S 7/ h
0834 '056Q '03?
TYPE-2
11/ 7
0008
TYPE-3
8/ 6 8/ b 10/ A 9/ 6 9/ 5
'0037 .0013 0010 0015 0003
TYPE-B ' .
Bi 6 - 8/ h 10/ b 9/ 6 9/ 5
0006 .005 '0005 '0001 '6015
BEJ(UP)-2.2286 01 8EJ(DBNN)I3.183E OO

9/ 4
0601“

9/ 6
~0009

239

CAbaaTDA K.K. MONOPOLE SHIFT

6SPIN(GOS¢)I B ITDRPIO IAIBB IZQZO HH'IOOES
IPU'O
J. “0 El “.617 Nllo
TYP§.1
' 7/ 6 7/ 5 7/ a
.957 u282 0056
TYPE-2
11/ 7
0926
TYPEOB
' 8/ 6 9/ 6 9/ 6
0602 0032 '0006
TYPE-b
8/ 6 9/ 6 9/ 6
600“ 0016 .010
8%J‘uP)-16282E 02 BMJ(DSHN)'1.“26E O1

fiausR COHPBNENT P' 7 H- 6 TYPE!1

SINGLE PARTICLE BMJ
P-73.H65.106E 02 ‘PH)’T°.°‘GOSO,.“0539E 02

DENSITY FUNCTION

CSTERE( 6)- 6.6635-01
CSTERE‘ 6)"509585'°2
CSTBQE( 8)’ 109933’03

 

2110

CABS-TDA K.K. .HBNEPBLE SHIFT

ISPIN(5.5.)- 6 XTDRpuo xA-as Iz-ao uu-go.2s
Ipu-o
J- 5- v El 66157 NI 5

TYPE-1
' ' 7/ 6 7/ 6
096C 0102
ITPEQE
11/ 7
0208
TYPE-3
9/ B
.0157
TYPE.“
9/ 6
OCOI

BEJ(UP)330211E 06 BEJ‘DOWN)'20919£ 05

"648R CCHPONENT P. 7 H' 6 TYPE'1

SINGLE PARTICLE BEJ '
P'75-H-3-083E cs (PH)-Te-o(c.s.)-a.26zs os

DENSITY FUNCTIBN
CSTBRE( 6)I 3o226E-O1
CSTBRET a)- .OOOE OO

 

 

2411

CAUSITDA K.K. MGKSPSLE SHIFT

ISDIN(G.$.)- 6 ITDRD-c {Anus 12.20 Hg-1o.as .
IPU'O
J' 5* E‘ 40659 N. 8
TYPEOE
’ 8/ 7 9/ 7
0998 '0039
TYPE-3 '
’ 11/ 6 11/ s 11/ 6
.6010 '02“ .015
TYPE.“
11/ 6 11/ 5 11/ 6
0018 .0032 -0020
BMJ(UPIGZo6““E 05 BMJ(DBHN,.20“O“E 06

”66466 ccnpe~z~r P- a H' 7 TYPE'Z‘

SINGLE pARTICLE B"J '
P'TCOH’3O965E 05 (PH)'T3'O(GOSO)IIOBQZE 05

DENSITY FUNCTIBN
CSTGRE‘ 5,- 9-7665-01
csreRE( 7,.-3.633£-01

 

242

CAuaoTDA K.K.. FBNePOL: SHIFT

zspx~ta.s.)- 6 ITDRP-o 16:68 Iz-ao Hw-io-ZS \.

IPU'O
J' 2* E9 30883 NI 6

TYPE-2
8/7 9/7
0996 0012
IYpan
11/ 6
.0109
TYPE-6
11/ H
.0003

BEJIuP)-16828E OO BEJ‘DOWN)'30656E'01

HAJGR cenpoNENT P- a H' 7 TYP592

SINGLE PARTICLE BEJ
P'TB'H' 00005 CO ‘P”"TB'O(GoSo" OOOOE OO

DENSITY FUNCTIEN
CSTSQE{ 5). OCCOE CO
CSTORE( 7)I'106155'02

 

CAuaoroA K.K. HBNSPBLE SHIFT
Isnx~(e.s.)o 6 ‘xToRo-o IA-68
xPu-c
J. 30 E0 #0343 NI 7,
TYPEOE
' a/ 7 10/ 7 9/ 7
0983 00179 .0026
TYPE-3
11/ 6 11/ 6
.6018 .003
TYPE.“
‘ 11/ 6 11/ 6
6019 0.011

BMJIUPIO60693E 02

2413

[2'20 HHP10625

BMJ(DowN)-9.561E O1

(AJCR CSHPONENT P- 8 H- 7 TYPE-2

SIRGLE PARTICLE BEJ
P-TO-H-76117E 31

DENSITY FUNCTION
CSTBREI 5)"1055SE 00
£57665( 7)- 6.067E-01

(PH)-Te-o(s.s.)-66067E 01

 

2‘14

CAQSITDA K.K. ”BNSPTLE SHIFT

ISPIN‘GOSO)’ 6 :TDRPIO IAIQB 12.20 HW'lCoas
XPU'O
J. 66 [a 6.059 N- 9
Type-2
— 8/ 7 10/ 7 9/ 7
0996 .0068 ‘0026
TYPE-3
11/ 6 11/ 5 11/ 6
.0037 -'055 '0036
‘TYPEob
‘ _11/ 6 11/ 5 11/ 6
6002 -0003 '0006
BEJ‘UP3080266E 02 SEJ(DBWN)‘9018“E 01

fiAJOR CeHPONENT P- a H- 7 TYPE-2

SINGLE PARTICLE BEJ
P-TO-fl' oOOOE OC (”hi'T0'0(Go$o" OOOOE 00

DENSITY FUNCTION
CSTBRE< 5)"16236E-02
CSTBRE( 7). 16375E-02

22415

I CABBoTDA K.K. HONSPBLE SHIFT

ISDI~¢5.s.)- 6 ITDRP-O IAnua 12.20 Hu.10.25
IPb'O
'6' 3- E' 76396 NI16
TYPfi-i‘ .
7/ 6 7/ 5 7/ 6
~16: .169 -.653
IYPE.2
11/ 7
00629
TYPE-3 .
’ e/ 6 a/ 6 10/ 6 9/ 6 9/ 5 9/ 6
'617 0080 '0071 -6155 .066 0056
TYPE.“ .
8/ 6 8/ 6 10/ 6 9/ 6 9/ s 9/ 6
-o366 '0007 0011 '0025 .002 00002
854(uPI-6.3325 o: BEJIDOHN)-9.045E 00

@6456 COMPONENT P- a H- 6 TYPE-3

SINGLE PARTICLE BEJ
P-TB-H-z.32“E ca (PH>-Te-o(o.s.)-1.323£ oz

0:65:77 FUNCTION

CSTBRE‘ 6,. 6.2005-01
CSTBREI 6)--56339E-02
CSTBREI 8)! 00005 00

246

 

oo mooo. agenvmaohmu
«cuusnoomooan .mROFwU
«OImNOu.n 6.0 .uwo»mu
«ocun0homnoan «muchmu

zoupuzau‘rhumzmo

no m~0«.~...m.0.0.o»..16. no uduo.a.x.06.m
3mm u4u~rm<n uquznm

«Imn>h. a II «nun hzmzmntou x03<t

n0 mwom.o..zxoo.0um 60 unoc.m..na.nmm
moo.c moo.
~00.o 000.. 000. o~0.o m00.. 500.. :m0.6 o«0.u 500..
m \m" 0 \ma
5 \ma 0 x.“ a x.“ m \02 0 \nd 5 \Ma a \mu o \N« 5 \~« -
onma>p
«mo. 56“..
om0.. nno. 000. mam. 66“.. 00“.. “a“. mom. mm“.
. 0 \ma 0 \m0
5 \m« m \60 a x.“ 0 \na 0 \nd a \n« 0 \ma 0 \~« A \~0 ,
numa>»
non. cum. mom.
"axed .0m\n" oflxmn
mummy»
6. mm". mflo. son.
a \«0 0 \«u h \«a
«sua>»
0~.z now.“ .u .n .6
I . . 0.3a”
00.0 .31 mn.- wo.<. o.aao»~ 6 ...m.0.z~am0

pu~1m 0406020: .x.x . (ohummam

2117

SRBB-TOA KoK: HONBPBLE SHIFT

 

ISPIN‘G.S¢)I 6 XTDRPIO IAIBB 12938 HH' 9.00
IPU'O
JI 29 E' 20259 N' 6
TYPE.:
' , 10/ 8 10/ 9
9720 '0556
TYPE-2 V
12/11 13/11 p
.0376 0078 ‘
TYPE-3 I
16/ 7 , E
;165
IYPE-B
16/ 7
.0026
.BEJ‘UP’330158E 02 BEJ‘DUWN)'60316E O1

EAJOR COMPONENT PI1° H- 3 TYPE'1

SINGLE PARTICLE BEJ
Pete-H-s.a~3£ o: (PH3-TO-O(GoS.)-20737E 01

DENSITY FUNCTXSN

CSTBRE('3)I 109335 00
CST3RE( 5)I'10936E 0°
CSTORE‘ 7): “06505“01
CSTSRE‘ 9)I 5.200E-03

248

SQQB-TDA KoK, MONOPOLE SHIFT

I$P1N(GOSO)' 6 ITDRPIO 3"88 12.38 HH' 9000
1°U'C '
J' 2* E' 30037 N- 6
T¥PEO1
10/ 8 10/ 9
9669 0699
TYPE-2
12/11 13/11
0251 0028
TY?E03
‘ 16/ 7
"013
TYPE.“
16/ 7
.018

BEJ!UP)I1.3“~E-01 8EJ(DBNN)'306895-02

fiAqen CeHPeNENT P010 HI 9 TYPEn1

SINGLE PARTICLE BEJ
P'Ta-HI7OO965 01 (PHy'TO'°(GoSo).20839E o1

DENSITY FUNCTION

CSTSQE( 3,0 107965 00
CSTQRE‘ 5}'°90553E'01
CSTSRE( 7" 9oC79E'02
CSTORE( 9)- 10363E'Oh

 

2119

SR88-TDA ‘0‘] ”BNGPQLE stFT

lSPXNcG.s.)- 6 ITCRD.o IA-ag 12.33 Hun 9.00
lpu'c
J0 5- 5- 3.363 N-lb
TYFEfI
11/ 7 11/ 8 11/ 9
.1a7 .323 .397
TYpE-a
16x11
018“
TYPE-3
' 12/ 7 12/ 9 13/ 7 13/ a 13/ 9 15/ 7
ocsa -15~ --1os --215 .13“ '0066
TYPE.“
' 12/ 7 12/ 9 13/ 7 13/ 8 13/ 9 15/ 7
'0009 '00“2 oce~ ' ooaa_ ~o029 ooot
BEJtup)-a.73oa O7 BEJtDewxy-2.532£ 05

”AJOR CeHPeNENT PI11 HI 3 TYPE-1

SINGLE PARTICLE BEJ
P-To-H-a.uc1E oS (PH)'TB'O(GoSo’I70637E os

Densztv pu~crle~
CST99E( e;--3o19~E-ox
CSTBREK aa- tosses-01
CSTERE(10)' vocoe oo.

 

2550

SRSSOTCA K.Ka MfiNEPCLE SHIFT

1391\(Go$o)l 6 ITDRPIC IAIBS {2'38 HK' 9'00 '
‘:°u-o '
JI 1+ [I 30391 N- 2
TYPE-1
IC/ 8
0999
TYPE.2
13/11
00““
B“J(UP)I701°25002 BMJ(DOWN)'20367E°°2

HAJUR CEH?5NENT Page H- 8 TYPE-1

SINGLE PARTICLE BMJ
P'I°°H'3O7OOE’OE (PH)'T5'O(GOSO)lzoh67E'OZ

szsxvv FUNCTISN

CSTSQE( 3)- 1.6698 00
CSTe=:( 5)--1.335E 00
CSTBQE( 7)‘ 206713-01
CSTBRE( 9)--33285E-0k

 

2551.

$988.73A KoK; HeNepsLE SHIFT

ISPIN(GISO)I 6 XTDRPIO IAIBS 12.38 HR. 9000
:Pu-o -
J- 30 El 30559 N- 9
TYRE-1
10/ 7 107 9
oocoz 1.000
TYPEOZ
12111 13x11 15/11
cox: oooe ..oos
IYPE.3
16/ 7 16/ 9
~c¢1c ~oooa
TYPE.“
16/ 7 16/ 9
00008 0001
994(up:-2.aiaE-c1 ethaew~>-a.oase.oa

fllJBR CSfiPSNEkT PI1° HI 9 TYPE'I

'sx~eL: PARTICLE BMJ
P-Ta-H-aosaza-c1 (PH)-T3-otG.s.)n1.~ogcoog

oausxrv FUNCTISN

CST9RE¢ 5)--5oC62£-oa
CSTBQE( 7)- 109995-02
CSTDRE( 9:--7-3~uE-o~

\

 

 

2552

5953.70; KoK, MONOPOLE SHIFT

ISPIN‘GoSo). 6 ITDRPIO 1AI88 12.38 ”H. 9000
IPU'
J. 72 E. 30843 N- 5

' 11/ 7 11/ s
0090 0973
TYPE-2
16/11
'1“O
TYPE-3
' 13/ 7
.0163
TYPE.“
13/ 7
0016

854(UP).3.17~E 10 a:4<oow~:iz.11oa 09

NAJBR CSHPeNENT P011 H- 9 TYPE-1

C B J ~
g£?gEE-;::;55LES E ‘PH"TU’O(GOSO"10667E 09

DENSITY FUNCTION
csreaac 8$I0808295'02
- csreaegzo)- .oooE oo

 

 

 

2553

 

.III-EEHWI .5 l0

 

Jo.mm~o.m -.o«.mmo»mu
«0.0.mfl.m...0 .uampmu
«o.uenn.m ..o .mmopmu
~0.uuon.n ... .uankmu

zmnpuzau >»~mz00

no u«00.0...m.0.0.0»..1n. no mm...m.x.n».a
nzm 0400»m<0 040200

0.0..» m .1 “d.. .zuzonzou «ow<n

no wonm.~..z.movax .0,m.n~.m...0.wrn
moo. .00.. 000.. 000. “00. ~00.. N00. 500.. ~00..
m \00 n \00 a x." a \nd 0 \00 a \mu m \00 . 0 \N0 n \00 -
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moo. .00.. .00.. mmo. 000.. "00.. 000. 000.. m00..
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bunxw wqmamzmt ~v.y. (ahowwam

 

2554

SRBBoTOA K.K, MONOPOLE snxrr

 

XSPIN(G.So)I 6 ITORP-o IA-88 12-38 HH. 9.00
IPUIO
J- 6- E- 30982 N-io
TYPE01
' ' 11/ 7 11/ 8 11/ 9

.003“ 0719 .693
TYPE-2

16/11

OCEO

TYPE-3

12/ 7 ‘ 13/ 7 13/ 9

0.009 .0009 0013
TVPE-h
' 12; 7 13/ 7 :31 9

..c15 --001 0011
BMJ(UP)I70253E O7 BHJtoewu)-5.S7SE 06

flAJOR CBHPBNENT P-:: H- 8 TYPE-1

‘SIKGLE PARTICLE BRJ
P-Te-H-3.ooSE c7 (PH)-TB-o(5os.)-ao312E o7

DENSITY FUNCTICN

CSTBRE( 6,8'809055'01
CSTOREC 8). 2.973E-O1
CSTBR£(10).-30859E-OQ

2555

$R33°T°A K.K. HowepaLz SHXFf

15918:G.s.)- 6 17089.0 IA-88 32-38 Hw- 9.00
IPb-O -
d- 5- Eu hocofi \n15
TYPE-1
-. - 11/ 7 11/ 8 11/ 9
011“ .0508 0833
TYPE-2
16/11
0100
TYPE-3
” .12/ 7 12/ 9 13/ 7 13/ 8 13/ 9
0022 0055 "0065 '0101 0082
TYPE.“
' 12/ 7 12/ 9 13/ 7 13/ 8 13/ 9
oooo '001* --oo~ '0003 -0018

BEJ‘UP"206135 06

EAJeR CSHPeNEhT P-11

SiNGLE PARTICLE BEJ
P-TS-H-s.850E oS

CExSITY FUNCTIBN

CSTSP£( 6). 60390E'02
CSTEQE( 8)I 202505'02
CST:RE(10)0 00005 00

BEJ(DOWN)I2.376E 05

HI 9 TYPE-1

(pH)'TU'0(GoSo"50319E 05

15/ 7
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15/ 7
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2556

 

oo uoou. ..oaoumokmu
mo.m.wo.« ..w ouampmu
mo.mmmn.m ..o .maohmu
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200.040. >»00200

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257

saga-TDA K.K. MONOPOLE SHIFT

ISPIN(G.s-)- 6 XTDRP-O lA-88 xz-38 Hw-_9.0o
198-0
4. a. E. b.667 N-i:
Tvpaol
' 10/ 7
.0362
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' 12111 13/11 1~/11 15x11
.908 00137 0091 0.058
TYPE-3
16/ 7 16/ 8 16/ 9
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' 16/ 7 16/ 8 16/ 9
'OOC* '0003 0003
3:4(u9)-3.3155 O“ BEJtDOdN)'9.239E 03

8.488 CeHPONENT P-12 H-11 TYPE-2

SIKGLE PARTICLE BEJ
PoTO-HI GOOOE 00 (PH7'TO'O(60507' 00005 00

oaxsxrv FUNCTION

Csrenit 5).-2.069E-O1
CSTSRE‘ 7). 6.5555'02
CSTBRE( 9). SobOhE'Oa

 

 

 

$888.70. K.K. nenepeg: snxrr

XSP!N(G.S.)- 6 tTDRP-o 1A.33 {2038 Hu- 9.00
Ipb-o
J' 6- EC #0222 N010
Typaoi
11/ 7 11/ 8 11/ 9
0135 I068“ .716
TYPE'E
16/11
00003
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' 12/ 7 13/ 7 13/ 9
.016 .000 ooze
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12/ 7 13/ 7 13/ 9
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BMJ(uP)-1.567E 08 ema¢oew~>-1.2osc 07

QAJBR canpoNENT P011 H- 9 TYPE'1

SINGLE PARTICLE BNJ
p.13...;.3.9a 06 (PH)-To-otoos.:-1o~23£ 06

Oakszrv FUNCTION
CSTSQE( 6)- 802005.01
csrea£( 8a--3.57oa-01
CSTORE¢10)- 702885.05.

 

 

.2559

$888.70. K.K, weNcPeLE SHIFT

15918<G.s.). 6 ITDRP-c xA-88 xz~38 HH- 9.00
I=u-o
J- 8. e- ..316 8-10
TVPEQZ
' 12/11 13/11 15/11 16/10
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TYPE-3

16/ 7 16/ 8 16/ 9

.0023 .9032 "°33
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' 16/ 7 16/ 8 16/ 9

-.oo7 -0008 '0002
B:J(up)-2.3ats 06 BEJtoewN3-1.83&E 05 '

MAJOR COMPONENT P'12 “'11 TYPEPZ

'sstLa PARTICLE BEJ -
p.Ta.H. .000: 00 (PHl-TO-0(G.S.)' .0005 00

DENSITY FUNCTION
csrenc< 7.- 2.75.2-03
csronct 9)--2.131£-oa

 

2650

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261

SQSB-TDA K.K, MENSPSLE SHIFT

XSPIN(G.S.)I 6 ITCR°oc IA-88 12-38 Hw- 9.00
IDL'C
J: 2. EU 19056.7 =’\' 6
Tvain‘.
10/ 8 13/ 9
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TYPE-2
12/11 13/11
0881 0125
TYPE.3
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TYPE-«
16/ 7
.0033
BEJ<UP)-2.859E o1 BEJ(Deu\)-S.313£ oo

BAJSQ Cey93\EkT 9'12 H'il TVPE'Z

Szxch PAQTICL BEJ

9.78... .0005 cc (PH>-TS-o<Gos.)- .0006 00
DENSITY FuhCTxew

C57995( 3)- 3.221E-01

CST9°E< 5).-5obuSE-Ci

CST??E< 7). 1.7qu-31

CSTBRi( 9;.-2.77aE-c3

 

   

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