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ELASTIC SCATTERING AND REACTIONS
IN THE BOMBARDMENT 0F14N
BY 20 MeV DEUTERONS

Thesis for the Degree of Ph. D.

MICHEGAN STATE UNIVERSITY

WiLUAM LUCAS PECKLES '
1970

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This is to certify that the

thesis entitled
ELASTIC SCATTERING AND REACTIONS
IN THE BOMBARDMENT OF JAN
BY 20 MeV DEUTERONS

presented by

William Lucas Pickles

has been accepted towards fulfillment

of the requirements for
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ABSTRACT
ELASTIC SCATTERING AND REACTIONS
IN THE BOMBARDMENT OF 1”N

BY 20 MeV DEUTERONS

by William Lucas Pickles

Reported in this thesis are differential cross sections

from 10 to 170 degrees, and total cross sections for the

following reactions at 20.13 MeV:

1U’N(d,d)l”1\1

luN(d,d')luN* Ex < In MeV
1L‘N(d,t)l3N Ex < 8 MeV
1L’Ntc1,3He)13C Ex < 8 MeV
lL‘N(<51,”He)l2c Ex < 13 MeV

And total reaction cross sections for the following:

11+N(d,pN) E > 2.5 MeV
l”N(c1,p) Ex < 10 MeV
1L’N(d,1"He X)Y E‘ s 2.5 MeV

The total reaction cross section for deuterons or 1L*N is

computed considering all of the above.
Also reported are differential cross sections from 15

to 50 degrees and total cross sections for the following:

Pickles

160(d,d)

160(d,d')160* Ex < In MeV
n

16ma, He)l”N Ex < 13 MeV

The elastic cross section 11+N(d,d), has absolute
errors of less than two per cent. Optical potentials
have been fit to this data using Snoopy Two. Many
essentially equivalent potentials have been found. The
potential with the lowest CHI—SQUARED per point (3H.5)
has a volume imaginary term (W8) of 3.62 MeV and a sur-
face imaginary term (WD) of 2.36 MeV, with the imaginary
radius parameter 1.63 fermis. Most deuteron potentials
found in the literature have Ws equal to zero.

A best optical potential with WS = 0 and one with
W8 = 3.62 have been used to repeat a DWBA calculation of
the cross section for 016(p,d)15N without a major differ-
ence in the result. The Isotopic spin for many levels of
luN up to 1” MeV have been assigned as zero on the basis
of the 1L*N(d,d')1l+N“* measurements. The angular distri—
butions and total cross sections in the ll"tN(d,d')luN"‘
reaction are discussed in terms of weak coupling between
two 1+ nucleons and the 2+ and the 3- configuration 12C
and between two l+ holes and the 3_ configuration of 16O.

Experimentally, gas targets and their use in abso-
lute cross section measurements is discussed. Time-of—

flight was used to identify reaction products and is com-

pared to the RAE method of particle identification.

Pickles
Automatic computer data processing was used extensively
and is also discussed. A complete prescription for the
fabrication of 3 mm silicon surface barrier detectors is
presented and there is a discussion of the use of various

types of detectors in time—of-flight work.

ELASTIC SCATTERING AND REACTIONS

IN THE BOMBARDMENT OF luN

BY 20 MeV DEUTERONS

by
William Lucas Pickles

A THESIS

Submitted to
Michigan State University
in partial fulfillment of the requirements

for the degree of

DOCTOR OF PHILOSOPHY,

Department of Physics

1970

ACKNOWLEDGMENTS

I want to express my appreciation of the excellent
educational environment offered by the Michigan State
University Cyclotron Laboratory. All of the faculty,
staff, and students have been fully involved in guidance
and assistance before and throughout the work presented
in this thesis. I also deeply appreciate the complete
access I have had to all the facilities of the laboratory.

I have tried to include the specific acknowledgments
of most of the contributions to this work by people in
our laboratory in the section which involves their
contribution. However, let me take this opportunity to
thank L. L. Learn, Prof. B. Kashy, Dr. G. F. Trentelman,
and I. D. Proctor, who worked many hours to help me
collect the data presented here, and-D. S. Sosnoski and
J. C. Pickles, who were of invaluable assistance during the
data reduction and preparation of the manuscript. I am
indebted to Mrs. M. E. Krueger for her excellent cooper-
ation in the typing of this thesis.

Prof. E. Kashy has performed the extremely important
function of suggesting the dimensions of this work so
that they included as much of the educational benefits in
our laboratory as possible.

I would also like to express my deep appreciation for

the patience and support of my wife, Judy.

ii

LIST OF TABLES
LIST OF FIGURES
1.
2.

TABLE OF CONTENTS

INTRODUCTION

EXPERIMENTAL METHOD

2.1 General Discussion

2.2 Beam and Beam TranSport

2.3 Scattering Chamber

2.31 General
2.32 Scattering Angle Measurement and
Error
2.33 Zero Angle Determination and Error
2.4 Gas Target
2.Al Design Criterion and Properties
2.A2 Construction
2.A3 Gas Manifold
2.AA Pressure Measurement and Error
2.A5 Beam Induced Temperature and Pressure
Effects
2.A6 Beam Induced Electron Emission from
Target
2.5 Beam Integration
2.51 Faraday Cup Design Criterion and
Construction
2.52 Faraday Cup Operation
2.53 Charge Integration Electronics and

Calibration

iii

Page
Vi

vii

1A
18

24
28
31
32

33

35

38
Al

A2

iv

2.6 Scattered Particle Detection System

2.

2.
2.

DATA

3.

8
9

1

3.2
1uN(d,d) ELASTIC SCATTERING

turn-4:4:-

mm

.1

.2

.1:-

2.61 Collimating Units
2.62 Detector Holder and Cooling Blocks
2.63 Dry Ice-Alcohol Cooling System

2.64 Silicon Surface Barrier Detector
Fabrication

2.65 EAE Configuration Electronics
2.66 ET Configuration Electronics

Time-of—flight Particle Identification
(TOF)

2.71 Methods of Use and Evaluation

2.72 System Efficiency Measurement

2.73 Comparison of Cross Section
Measured with TOF to Cross Section
Measured with EAE

Relative Merits of TOF and EAE Systems

Monitor Counter

COLLECTION, REDUCTION AND ERRORS

Data Collection Method

Reduction Method Program Picklepeak

Introduction

Optical Fitting with SNOOPY TWO-~Accuracy
Discussion of Results

Total Reaction Cross Section

Shape of X2 Space

150(

Recalculation of p,d)150*

(Ex = 6.18)

Page

AA
51
51

53
55
60

63
68

7O

71
73

75
77

8A
86
9O
95
97

102

INELASTIC SCATTERING AND REACTIONS

5.1 Computation Method of Total Reaction
Cross Sections
5.2 Inelastic Scattering
5.21 Inelastic Deuteron Scattering
5.22 Single Particle Transfer Reactions
5.23 Two Particle Transfer Reaction
6. CONCLUSION
APPENDIX A
APPENDIX B
APPENDIX C

LIST OF REFERENCES

Page

105

106
122
1A0
1A7
1A8
227
251

253

LIST OF TABLES

2.41 Gas Cell Ciameter and the Angular Region of Page

Usefulness 26
2.42 Comparison of Cross Sections Measured with

Beam Currents of 10 na and 100 na 35
3.21 Summary of Errors 81
4.31 Summary of Optical Potentials 94
5.21 Energy Levels and Dominant Configurations of 1MN 110
5.22 Energy Levels of luN and T Assignments 115
5.23 Energy Levels and Dominant Configurations of 1MN 118
Appendices Tables 150

vi

.ll
.31
.32

.33
.41

.42
.43
.44
.51
.52

.61
.62

.63
.6A
.65
.66
.67
.68
.69
.71
.72
.73
.74

LIST OF FIGURES

Cyclotron and Beam Transport System
Schematic of Experimental Area

Protractor Vernier and Optical Readout
For Scatter Angle Measurement

Beam Location System

Angular Region of Usefulness for A Gas
Cell Target

Gas Cells, Scintillator and Thermometer
Gas Manifold.

Electron Emission From Gas Targets
Faraday Cup Schematic

Faraday Cup, Scattering Chamber, and Gas
Manifold

Collimating Units

Differential Solid Angle As A Function of
Distance from the Center of Rotation

G-FACTOR Output

Collimating Units and Detector Blocks
Detectors

EAE Electronics Configuration

2D Display

2D Display Selected Bands

ET Configuration Electronics

TOF 2D ET

TOF 2D ET2

Complete Spectra lL}N(D,X)

Event Energy in MeV

vii

Page
10

13

l5
19

27
29
31
36
39

40
45

47
49
50
54
56
58
59
61
64
65
67
69

2.91

4.51a

4.52a

5.21

5.23a

5.24a

viii

Monitor Counter and Dead Time Electronics
Reduction Formula
Reduction Errors

luN(d,d) Data Plus Rutherford and Data Plus
Best Fit

Matching Accuracy for Snoopy Two
l”N(d,d) Optical Model Pits (small ws)
11+N(d,d) Optical Model Pits (large ws)

Total Cross Section for Each Reaction
Product

CHI-SQUARED Surface No WS
CHI-SQUARED Surface No WS
CHI-SQUARED Surface With Ws
CHI-SQUARED Surface With WS

Recalculation of 16O(p,d) Using Potential
Without WS

Recalculation of 16O(p,d) Using Potential
With WS

Total Reaction Cross Section 16.0(d,d')
Total Reaction Cross Section luN(d,d')

Total Reaction Cross Section 16O(d,a)
14

16O(d,a) N Spectrum

lL‘N(d,d') Angular Distribution EX = 4.913
11+N(d,d') Angular Distribution EX = 5.691
ll*N(d,c1') Angular Distribution EX = 5.106
1L*N(d,d') Angular Distribution EX = 5.834
11+N(d,d') Angular Distribution EX = 8.489
luN(d,d') Angular Distribution EX = 3.945
11+N(d,d') Angular Distribution EX = 7.028

Page
74

82
83

85
89
91
92

96
98
99
100

101

103

104
107
109
112
113
120
121
123
124
125
126
127

ix

14 . . . Page
5.27 N(d,d') Angular Distribution EX = 6.198 l28
5.28 Total Reaction Cross Section luN(d,t) 129
5.29 Total Reaction Cross Section 114N(d,3He) 130
5.210 Total Reaction Cross Section lLlN(d,u'He) 132
5.2lOa-g Total Reaction Cross Section 133
5.212 Angular Distributions 142

5.2l2a-d Angular Distributions 143

1. INTRODUCTION

The work presented in this thesis consists principally
of the accurate measurement of the differential cross
sections for elastic and inelastic scattering of 20 MeV
deuterons from 11+N. The results are analyzed to obtain
optical model parameters for lU'N(d,d) and spectroscopic
information about the T = 0 states of 11+N.

The choice of 1”N resulted from a continuing interest
in light nuclei at this laboratory and the energy was
chosen as the minimum deuteron exit energy for which con-
sistent spectroscOpic information from the (p,d) reaction
on light elements were obtained (Sn 69). Accurate proton
and deuteron optical potentials are desirable in the DWBA
analysis of the (p,d) reaction, because the effects of the
distortion of the exit channel wave-functions have strong
effects upon the calculated reaction differential cross
sections.

Good proton optical potentials for energies below
50 MeV are available in the literature. Deuteron optical
potentials in the energy region of 20-50 MeV are available
(Mc 69, Hi 68), but the data from which they are extracted
are in general less complete and less accurate than the

corresponding proton data. For example, deuteron elastic

scattering and/or fits at angles greater than 100 degrees

2

center—of—mass are rare in this energy region. The elastic
deuteron cross sections presented in the work have abso—
lute errors of less than 2% and extend in the laboratory
frame from 10 degrees to 170 degrees. This data has been
fit using the optical code "SNOOPY TWO" (Sc 69). Several
sets of acceptable optical potentials have been found, the
quality of the fit, however, especially for angles greater
than 100°, is not as good as that usually obtained for
proton elastic scattering. The elastic cross section and
optical fits are discussed in detail in Sec. 4.1 and 4.2.

The DWBA calculations for 160(p,d)150* (Ex 2 6.180 MeV)
performed by Snelgrove (Sn 69) have been repeated using
the l”N(d,d) parameters from this work. Peak to valley
ratio of the calculated deuteron cross—section oscillations
is in close agreement with Snelgrove's experimental data,
but the new deuteron optical potentials do not change the
calculated back angle (p,d) cross section. The conclusion
is that lack of agreement between Snelgrove's DWBA calcu-
lations and his back angle data was not due to inaccurate
deuteron optical potentials, but more likely, resides in
the form factor for the reaction as was previously sug-
gested (Sn 69, Pr 70).

The deuteron is a particle whose isospin is zero,
consequently in the (d,d') reaction only states with isospin

equal to that of the ground—state should be excited.

3

This selection rule removes from the observed spectrum of
1”N(d,d')luN"‘ approximately one-third of the known states
below 13 MeV. This fact alone makes the (d,d') data inter-
esting. It means that most T = 0 states in 1”N are well
resolved in a counter experiment whose energy resolution

is 45 to 70 KeV. No evidence for the excitation T = l

1U'N(d,d') reaction have been found and upper

states in the
limits of cross-sections for breaking of the T = 0
selection rule for several of these states have been set.
This matter is discussed in Sec. 5.1.

14

The spectroscopic information about N presented in

this work is derived from total reaction cross—sections and
angular distributions for ll*N(d,d')luN*, 160(d,d')160*

14N*.

and 160(d,”He)1uN* and from DWBA analysis of the luN(d,d')
Measurement of cross-sections with absolute error

less than 2% represents a considerable experimental

effort and the successful use of time-of—flight for particle

identification in taking spectra represents a departure

from the standard experimental procedures used in our

laboratory. Consequently, Sec. 2 contains an extensive

discussion of errors, experimental systems, and time-of-

flight techniques.

Differential cross—sections and total reaction cross—

1 1

section for the ll“N(<i,t), ”N(d,3He), uN(d,”HeX)Y,

14

14
N(d,pn)Y, and N(d,p) were measured simultaneously with

the reactions previously discussed and have been used princi-
pally to construct an "anatomy" of deuteron scattering.

The possible implications for deuteron optical potentials
from the fact that 60% of total reaction cross-section

comes from the one channel 1L+N(d,pn)Y are discussed in

Sec. 5.3.

2. EXPERIMENTAL

2.1 Experimental-General Discussion

The measurement of differential cross sections with
small absolute errors was the primary goal of the experi-
mental systems. The procedures are described in this
section.

The following expression for differential cross
section is a result of considering 8% to be the area per

nucleus which causes a particular type of scattering into

unit solid angle at an angle 0 with respect to the

beam.
_ . . N 2
Qg(0) : Limit 2 cm (2.1)
d9 SA+0 NTNBSA sr.

NP is the number of particles scattered from a target of
NT nuclei per cm2. NB is the total number of incident beam
particles and SA is the solid angle defined by the slit in

front of the detector. Re-expressing the above equation

 

yields
gg(0) 2 Limit Np cm? (2.2)
R+R (pt)(Q/e)A/4nR S

where Q is the total charge of the beam which is incident

on the target; e is the charge per beam particle. A is

the area at the detector through which a particle must
pass in its free flight from the target to the detector.
All defining slits have some thickness but may not in fact
stOp all scattered particles incident on them. Conse—
quently, these particles may be small-angle-scattered

from the surface of the hole through the defining slit.
The particle undergoing rescattering of this type may
enter the detector and will be kinematically down shifted
in energy and/or degraded by energy loss to the slit.

In summary, any absorber with a hole of area A cut through
it will have an area AA surrounding the hole which has an
opacity different from either the hole (0 Opacity) or

the absorber. Fortunately particles that pass through

AA traveling from the target to the detector have a lower
energy than the particles which reach the detector surface
without interacting with the absorber. "Slit scattering"
is the primary example of this effect. Slit scattered
counts must be subtracted from Np. A, then, is the

number which is to be interpretated as the area of the
gl§§§_hole in a defining absorber placed near the front
surface of the detector. In expression 2.1 t is the length
parallel to the incident beam in which target nuclei exist
which may cause scattering into the detector. 5 is the
average number density per cm2 of target nuclei in the
region t. R is the average distance from region t to the cen-

ter of the defining absorber or slit at the detector.

7

We can now discuss the problems encountered in measuring

5 and Q. 5 must be known and remain constant during an

do
experiment or be measured as 35 is being measured» Usually
, 2:9 ,
a monitor counter serves to measure the product e during

do
the measurement of d5. Solid targets melt, evaporate,

pick up oil from the vacuum system and in general must be
monitored during an experiment. In addition a separate
experiment must be performed on the target to measure the
initial 5. Errors are generated at each step. A gas
target requires only that you measure the pressure and
temperature of the gas contained to determine 5. For this
reason gas targets were used in this experiment and are
discussed in detail in Sec. 2.4.

Q is the charge of the beam incident on the target.
Since the total number of particles scattered out of the
beam is small, Q can be taken as the beam charge collected
by st0pping the beam after it has passed through the target.
There are several ways errors can be committed in collecting
Q. The beam is diverging when it leaves the target due to
small angle scattering and you must be sure to "catch" all
of it. When the beam is stopped by the material in the
faraday there is a copious emission of electrons. These
electrons must not escape from the collecting part of the
cup. The target is also an electron emitter when beam is

passing through it and these target electrons must be kept

out of the collecting cup. Having made sure the charge
on the cup is due only to the beam and none of it has
been lost, it must then be integrated accurately without
losses. All of these considerations are discussed in
Sec. 2.5.

Np, the number of scattered particles passing
"freely" through A, will, except for an error in background
estimation, be too small. That is, you may miss counts, but
it is highly unlikely you will make extra ones. The
detector itself may fail to give the event its correct
pulse height for several reasons:

1. Excitation of detector (Si) nuclei

2. Charge collection failure

3. Reactions in the detector such as (d,pn)

4. Pileup (Two scattered particles arriving

within the collection time of the detector)

The electronic recording system has a processing time per
event during which it will not process another event. A
typical time for processing was 40 us. This effect is
called dead time and was measured using pulses from the
monitor counter.

The particle identification system may fail for a
number of reasons, and lose an event. In particular,
when time-of-flight is used the time signal may not be

'generated, leaving only an energy signal. In this

9

experiment, events without a time signal were recorded in
order to measure this type of loss.

All of the losses described above were measured
during this experiment and are discussed in Secs. 2.6 and
2.7.

14

The N data presented in this thesis was taken in

160 in 48 hours.

96 hours of continuous running and the
Particle identification was achieved with time—of—flight
techniques and a 2—dimensional data taking routine "TOOTSIE"

written for the XDS Sigma-7 computer by D. L. Bayer of

this laboratory (Ba 69).
2.2 Beam and Beam transport

The 20 MeV beam of deuterons used in this experiment
was produced by the MSU Cyclotron. Figure 2.1 shows a
general view of the cyclotron and transport system. The
beam extracted was normally 1 to 5 p amps with a time reso—
lution of less than 0.4 ns. This narrow time width was
achieved in most cases by using internal phase slits, or
occasionally only the beam transport system slits. Time
resolution was never worse than 0.5 ns.

The beam analysis system is basically an object slit
(Box 3), a 90° bending and dispersion system, and an energy
defining slit (Box 5), with approPriate quadrupOle and

sextupole focusing (Ma 67). Also used in this experiment

.oncm xcm Eosm m xom oucH Eden mAH MCHHA ow uocmmfi lomo>oE m was =m xom: EOLM
pmoH may ow mcHocopxo gpmm uanHm pwam 8 o>mn HHHz noCMHmwp wcHon mH AOHss huHHHomm coHpanhuwHo
MMstcm coppso: So: one

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was a set of slits (Box 10) located immediately after the
last quadrupole, a set of defining slits (Box 11) at the
entrance to the scattering chamber, and magnetic steering at
Box 10. All exposed beam pipe was shielded from stray
magnetic fields with soft iron. The Box 10 and 11 slits

and Box 10 steering magnet were used to define the zero
angle for scattering and insure that it remained constant
during the taking of data (Sec. 2.32).

The beam was focused at the center of the scattering
chamber with a magnification of.8 of the Box 5 object.
Typically the beam spot size was 0.070 inches horizontally
and vertically. A maximum of 400 na was delivered to the

scattering chamber; typical currents were 80 and 100 na.

11

was a set of slits (Box 10) located immediately after the
last quadrupole, a set of defining slits (Box 11) at the
entrance to the scattering chamber, and magnetic steering at
Box 10. All exposed beam pipe was shielded from stray
magnetic fields with soft iron. The Box 10 and 11 slits

and Box 10 steering magnet were used to define the zero
angle for scattering and insure that it remained constant
during the taking of data (Sec. 2.32).

The beam was focused at the center of the scattering
chamber with a magnification of.8 of the Box 5 object.
Typically the beam spot size was 0.070 inches horizontally
and vertically. A maximum of 400 na was delivered to the

scattering chamber; typical currents were 80 and 100 na.

12
2.3 Scattering Chamber and Scattering Angle Measurement
2.31 General

Figure 2.31 shows a schematic of the experimental area.
Included are the last focusing elements in the beam line,
the scattering chamber, and the aparatus used to define the
zero scattering angle. The chamber itself was 30 inches in
diameter, had one remotely moveable counter arm and one fixed
arm. The detector and collimating units for counting the
scattered particles were mounted on the moveable arm. The
monitor counter and its collimating unit were mounted on the
fixed arm. The gas cell targets and scintallator were
mounted on a l/4 inch dowel that defined the center of
rotation of the moveable arm. The targets rotation and
height could be controlled from the data room. A typical
pressure obtained in the chamber was 10.5 torr.

The scattering chamber was equipped with an electrical
angular readout, but this was found to reproduce measure-
ment to only 0.2 degrees. An angular readout system which
was accurate to better than 0.1 degrees and did not require
constant checking was necessary. The system deviSed in—
cluded a protractor and vernier which was read through a

magnifying optical system by closed circuit T. V.

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14.

2.32 Angle Measurement and Errors

Figure 2.32 shows in two views, the center of the
scattering chamber and the apparatus constructed to measure
the angle of the moveable scattering arm with respect to
the beam. An aluminum protractor 15:.001 inches in diameter
and 1/4 inch thick was machined in our shop by N. R. Mercer.
The angular scribe marks were cut using a dividing head with
a maximum angular error of 0.015 degrees; calculated as
follows:

57 x (center error + scribe error){inches} (2.3)
Radius{inches}

A0

 

In this case:

5.7 x 2 x 10’3 = 0.015 degrees
7-5

AO

 

A vernier was also machined to the same accuracy. The

scribe marks on the protractor were cut every 0.2 degrees.
This protractor was then bolted to the rotating scattering
arm. The vernier was mounted on a support which was bolted

to the viewing port wall. The vernier was adjustable in

all directions. This whole assembly was quite massive and
very stable when finally installed. The protractor was then
adjusted so that its center was the actual center of rotation
of the scattering arm. This was accomplished by adjusting the

position of the protractor and the vernier until an equal

15

[I

VIEWING PORT

  
 
   
   

ALIGNMENT WIRE

 

 

QUARTZ
SUNTlLATOR IMAGE or ANGLE AND VERNIER
K»
SCINTILATOR—o To w
SHIELD
w
5A5 __. A IMAGE OF TARGET 0R scmTILATOR
TARGET
DOWEL LENS
PROTRACTOR LIGHT \ VERNIER

 

 

 

 

 

 

I ,, .' 1 ,
TABLE OF SCATTERING ARM 'u U I 1% BASE

 

I T SUPPORT

 

 

ROTATING SUPPORT PORT WALL

 

 

SIDE VIEW OF PROTRACTOR VERNIER AND MOUNT
MIRROfi GAS TARGETS WITH SCINTILATOR AND

ALIGNMENT WIRE AND SCATTERING TABLE
SCATTERING CHAMBER

PORT wALL

VIEWING
DIRECTION

 
  

MAGNIFYING LENS
VERNIER LENS

 

 

 

    
  
 

O o
OMOUNTING ‘ ALIGNMENT SCREWS
0 0% HOLES FOR
DETECTOR
COLLIMATING
O OUNIT
O

 

 
 

TABLE OF SCATTERING ARM

TOP VIEW OF PROTRACTOR VERNIER AM) MOUNT
AND SCATTERING TABLE

Figure 2.32 PROTRACTOR VERNIER AND OPTICAL READOUT
FOR SCATTER ANGLE MEASUREMENT

l6

distance was maintained between the edge of the protractor
and the edge of the vernier for the full rotation of the
protractor. The estimated centering error was 0.001 inches.
Adding these errors linearly, the basic angular error of the
protractor—vernier combination was approximately 0.025
degrees. The vernier marks were constructed to allow
reading of angles to 0.02 degrees.

As is shown in Figure 232 a silvered bulb illuminated
the vernier and protractor scale which was then viewed
through a magnifying lens and two mirrors by a T. V. camera
with al50 mm telephoto lens. This camera had a remote focus
and orientation control. Two mirrors were employed to
produce a non—inverted image. The T. V. camera also provided
a clear view of the target area with only a small adjustment
of the camera.

The total relative angular error was 0.1 degrees and
is due to the error in alignment of collimating units, the
fact that there was an uncertainty of 0.020 inches in
placing the beam relative to the center of rotation, and on
error in determining 0 degrees. A centering error will pro—
duce an angular error A0 which goes as:

A0 = 57 x A% x cosO degrees (2.32)
Where R is radius at which the angle 0 is measured, AC is

the centering error and O is the angle between the direction

17

of the maximum centering error and the direction at which

the angle measurements were made. The collimating units

for the detector had two slits 10 inches apart with rear

slit 15 inches from the center of rotation of the scattering
arm. Using a surveying telescope it was determined that the
center of observation looking through the two slits was 0.005
inches off the center of rotation. Thus A0 is equal to 0.020

degrees.

A0 = 57 x x 10"3 = 0.020 degrees

_5_
15

The beam spot was typically 0.060 inches in diameter, and
an error of 0.020 inches for the centroid of the beam was
estimated. This results in a relative—angle uncertainty of

0.082 degrees, and it the principal source of angular error.

57 x 20 x lo”3 2 0.082 degrees
I4

Combining the 3 sources of relative-angle error linearly

yields a maximum error of 0.127 degrees.
0.082 + 0.020 + 0.025 = 0.127 degrees

Adding in quadrature, the error is 0.09 degrees.

18

2.33 Zero Angle Determination and Error

The beam direction and centering was fixed by insuring
that the beam traveled in a straight line between two
widely spaced slits, and passed over the center of rotation
of the scattering arm.

Figure 2.33 shows these slits at boxes 10 and 11.
Magnetic shielding was wrapped around the beam pipe between
these two sets of slits. A small electromagnet M10 was
located next to the Box 10 slit towards the cyclotron
(up—stream from Box 10). Box 11 was located inside the
scattering chamber 10 inches from the center and consisted
of two vertical and two horizontal tantalum slits 0.125
inches thick. Charge could be collected from all four
independently. Box 10 consisted of two horizontal plane
slits made of aluminum with tantalum edges. The Box 10
slits were remotely moveable, while the Box 11 slits were
fixed during the line up procedure.

The alignment of Box 10 and Box 11 slits was accom-
plished as follows: A surveying telescope was sighted
through the faraday cup port, over the raised center dowel
in the scattering chamber, through the Box 11 slits, through
the Box 10 slits and focused on a pin at the center of the
steering magnet M5. This pin and a reference surveyors
target on the wall behind the telescope were used to establish

the height of the beam (the optical center vertically of

l9
VERTICAL LOCATING

 

 

 

      
   
   
   
 

 

PIN
M5 STEERING MAGNET
\\
\\ CONCRETE BLOCK wALL
”
‘\\’ QUAD TRIPLET
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\I, Box IO MAGNET
Box Io SLITS
MAGNETICALLY SHIELDED
BEAM PIPE
STRAIGHT LINE WHICH
DEFINES BEAM DIRECTION
SCATTERING
CHAMBER
COLLIMATING UNIT,
«x FARADAY CUP PORT
Figure 2.33 ' \ SURVEYING TELESCOPE

BEAM LOCATION SYSTEM

20

the transport system). The Box 11 slits were closed and
the center of the Box 11 slits, the center of the dowel,
and the telescope were made to be co-linear to i0.002
inches. The scattering arm was rotated 360 degrees while
observing the center dowel through the telescope. The
center of rotation was found to be 0.002 inches off the
center of the dowel and the telescope was moved so that

it sighted over the center of rotation and focused on the
center of Box 10. The Box 11 slits were then aligned so
that each of the 4 jaws was 0.090 inches from the beam
center line established by the telescope position and

Box 10. The collimating units without detectors in place
were then mounted on the scattering arm, raised and lowered
and the arm rotated until the rear collimator was centered
on the beam line. The front slit of the collimating unit
was adjusted to be co-linear with the Box 10 slits, the
center of rotation, the rear collimator, and telescope.

The angle was then read through the optical readout system.
The final result showed that the zero angle was +0.04
degrees as read on the protractor, and was reproducible.

It was at this time that the areas of the front and
rear slits in the collimating units were measured using
the telescope. Also, as a last step, a fine copper wire
was fixed to the scintilator on top of the gas cell target.
The target was mounted on the dowel and the wire was

aligned with the telescope.

21

After the scattering chamber was closed and the beam
was focused on target, the following procedure was used
to put the beam on the established line.

1. Box 10 was closed and the beam was balanced
on the two slits using M5.

2. Box 10 was opened to 0.5 inches full width.

3. M10 was used to sweep the beam on to first
the left and then the right jaws of Box 11.

4. The current settings were recorded for M10
which provided enough deflection to left or
right to deposit 1/2 of the beam on the Box
11 slits.

5. The medium current was then selected.

6. The T. V. was used to observe the beam spot
and the shadow on a find copper wire on the
scintillator, over the center of rotation.
The shadow always equally divided the beam
spot for medium current setting on M10.

7. Box 10 was closed and the balance re-
checked.

This procedure initially placed the beam within 0.097 degrees

of the established zero angle. This is computed as follows:

A0 = tan A0 = x + X (2.33)
I.

22

 

In this case A0 = 0.25 + 0.06
15 x 12
A0 = 0.173 x 10’2 radians
A0 = 0.097 degrees

where x is one half of the Box 10 full opening, y is one
half of the Box 11 full opening and A is the distance be-
tween them. The reason for using 1/2 the full opening is
that the beam was about 1/2 the size of full opening at
each slit and was taken to be uniform. All data was taken
with Boxes 10 and 11 in place and monitored for a current.
No current was ever observed. Then the maximum deviation
of beam direction possible was 0.097 degrees. The beam
was checked on the target scintallator many times and was
never observed to move relative to the alignment wire.

An independent confirmation of the angular precision
was obtained after the spectra were completely analyzed.
The reaction p(d,d)p was observed in the proton band. A
careful calculation of the energy of this peak at various
angles back of 35 degrees was compared to calculated energy
from "FASTKINE", the laboratory kinematics program. After
adjusting for energy loss in the gas cell, the calculated
and measured energies agreed to 30 KeV. In this angular
region the kinematic spread for p(d,d)p is 900 KeV/deg.
Thus the error in the value of the absolute scattering

angle was greatly overestimated.

.23

A0 = 30 = 0.033 degrees from p(d,d)p

00

However since the angular acceptance of the detector was
about 0.3 degrees quoting angular accuracies to greater

than 0.1 degrees seems superfluous.

24

2.4 Gas Target

2.41 Design Criterion and Properties

The following properties were considered as essential

in designing the gas cell target:

1.

2.

9.

Must be leak tight.

Windows must not deteriorate with beam currents
which allow a reasonable count rate.
Maintain pressure sufficient to allow a
reasonable count rate.

Total straggling in the gas and the window
should be a minimum.

Have pressure and temperature measurement
available.

Have enough clear space so that no beam
particles scatter from the body of the cell.
Easy and dependable replacement of windows.
Enough thermal capacity of body of the cell
to prevent temperature rises of more than
0.1 degrees K. during data collection.

Should be easy to construct.

A cell which is as small as possible with a gas pressure

_great enough so that the straggling in the gas and in the

window are commensurate for most exit particles will satisfy

the criterion of high count rate with minimum straggling

25

and low beam currents. Smaller beam currents are easier

to produce and prolong window life. However, the cell size
does have a lower limit. This limit is imposed by the
dimensions of the collimating units and the angular region
over which the cell is to be used for taking data. As the
collimating units rotate toward smaller angles with respect
to beam direction the length along the beam from which
particles can be scattered into the detector increases.

At some 0 the acceptance cone of the collimating slits
begins to include the region of the window through which

the beam passes. This angle 0 is given by

D2 = [t(90°) + Stars]2 2+ [t(90°)]

4[tan0 cost - sin¢1 4

 

- t(90°)[t(90°) + BtanO] (2.41)
2(tan0 ctne - l)

 

where D is the diameter of the inflated window, t(90°) is
the width of the acceptance cone at the beam where O
is 90 degrees, B is the beam spot diameter, and
2C is the angular width of the acceptance cone.
A simplification of 2.41 is
tanemin = 2 t(90°) (2.42)
D
Equation 2.42 is correct to 1 degree if C is less than 1
degree, B less than .1, t(90°) less than .3 and D greater

than .5 in the same units. As will be discussed in Section

26

2.61 a t(90°) of about 0.2 inches and a O of about 0.7
degrees was most desirable in this experiment. The follow-
ing table shows the angular range of usefulness of gas
cells of various diameters when t(90°) is 0.225 inches, T is

0.72 degrees and B is 0.080 inches.

Table 2.41 Gas cell diameter and the angular region of

 

 

usefulness

Gas Cell Diameter Angular Region of Usefulness
0.50 inches 33° to 147°
1.0 inches 16° to 164°
2.0 inches 8.5° to l7l.5°
3.0 inches 5.5° to l74.5°

where O = 0.72 degrees
t(90°) = 0.225 inches
B 2 0.080 inches

Figure 2.41 shows how the angular regions in Table 2.41
were calculated. Notice that the volume of the beam inter-
sected is completely determined by t(90°) and O. Any two
slit collimating unit which results in the same t(90°) and

C will have the same geometrical properties.

ENTRANCE BEAM WIDTH "B"——'-

2
A/ ACCEPTANCE CONE

OF COLLIMATING SLITs
KAPTON WINDOW
INFLATED DIAMETE
"D"

       
 

 

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EXIT BEAM

 

I. IS THE GREATEST RADIAL DISTANCE INCLUDED IN
THE INTERSECTION OF THE BEAN AND THE
ACCEPTANCE CONE OF THE COLLIMATINGI SLITS.
THIS INTERSECTION IS SHOWN ABOVE AS THE
SHADED REGION.

 

 

 

FIGURE 2.41 ANGULAR REGION or
USEFULLNESS FOR A 24’

GAS CELL TARGET
REAR COLLIMATING SLITS

DETECTOR

28

On the basis of these calculations it was decided that the
.gas target would be constructed so that two or three inde-
pendent cells with different diameters would be available
without breaking vacuum on the scattering chamber. Also,
if a cell should start leaking, one would still have a
spare.

If the gas cell is circular at least on the side of
the beam where angular distributions are to be measured, then
the mean target thickness for exit particles is the same at
all angles.

Brass was chosen for the cell body because it is easy
to machine, easy to solder vacuum tight gas inlet fittings
to and forms a vacuum tight bond with epoxy. 0.50 mil.
kapton was chosen as the window material because it can
maintain a one atmosphere pressure differential, is
approximately 1.7 mg/cm3 thick and can sustain beams of

100 na for 24 hours with leaking.
2.42 Construction

It was found that kapton can be epoxied to a fresh brass
surface reliably with most any good quality epoxy resin (CIBA
ARALDITE 502 + 951 Hardner was used). Figure 2.42 shows
three types of gas cells used. The circular cells were
first turned and then milled out. The D-shaped cell

allowed the mounting of a thermometer in a hole drilled in

 

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30

the cell body even though the effective diameter of the top
cell was 1 inch. The gas inlets chosen were 174 inch
Imperial Eastman vacuum fittings (poly flow). They were
soldered into 1/4 inch holes drilled in the cell body. A
brass holder for a piece of quartz scintillator was soldered
to the top of the cell body. This holder was designed so
that 1/4 brass walls would protect the detector while the
beam was on the scintillator.

The kapton windows were epoxied to the cells as a
last step. The brass was rough sanded and wiped with a
clean towel before the epoxy was applied to the cell.
Finger prints on the brass or the use of a solvent on the
brass resulted in a bond that is not vacuum tight. The
epoxy was cured at a temperature of approximately 90°F,

with a heat lamp warming the cell.
2.43 Gas Manifold

The gas manifold, gas cells, and manometer are shown
with their connections schematically in Figure 2.43. The
manifold allowed evacuating of cells and manometer along
with the scattering chamber. The cells and lines could be
flushed while maintaining scattering chamber vacuum by
using the roughing line shown. The port was a 1/4 inch
brass disk with three inlets to the chamber as shown.

The valves used were circle Seal type 9559 B-l MN. All

connections were made with Imperial Eastman poly flow tubing.

31

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32

2.44 Pressure Measurement and Error

A mercury manometer was used at first and seemed most
desireable because the difference in height between the two
columns is a direct measure of the pressure differential.
However, reading the height of the two columns is in practice
very difficult. The mercury manometer was abandoned in favor
of an aneroid gauge made by Wallace and Tiernan (Type FA
l45PPl2296). This gauge is guaranteed to be accurate to
0.03 inches of mercury absolute (traceable to the National
Bureau of Standards). A H. J. Green mercury barometer with
digital remote readout was calibrated by comparison to the
U. S. Weather Bureau in Lansing, Michigan. This Green
barometer would have made an excellent pressure measuring
device but it was designed to read pressure in a limited
range and only near one atmosphere. The mercury barometer
was placed near the scattering chamber and the Wallace and
Tiernan gauge was compared with it regularly. No difference
.greater than 0.01 inches between the two gauges was ever
noted. No other check of the Wallace and Tiernan gauge was
made. The gauge was shock mounted in a case, fitted out
with Imperial Eastman fittings and a valve between the in-
let and outlet, and the face of the gauge was lighted by a
circular neon lamp so that the dial could be read easily

by closed circuit T. V.

33

The reading uncertainty was 0.02 inches. Combining
the reading error and the stated accuracy of the gauge
linearly, we have a total error of 0.05 inches of mercury.
This assumes that the pressure at the gauge was the same as

that in the cell.
2.45 Beam Induced Temperature and Pressure Effects

The beam passing through the cell deposits energy, With
the power dissipated in the cell generally less than 100
milliwatts. A temperature rise of less than 0.01 degrees
per hour of the gas cell was calculated based on the mass
of the cell and the thermal capacity of brass. The cell was
in contact with the steel dowel at the center of the
scattering chamber and consequently there should have been
no temperature rise; in fact, no temperature rise of the
Agas cell was observed. The estimated reading error of the
thermometer was 0.5 degrees. The thermometer was a three
inch Ashcroft Bi-metal type, calibrated at zero degrees
centigrade.

There is some question about what happens to the gas
.molecules in the target at the instant a beam burst passes
through. The beam burst typically contains 103 particles,
occurs every 50 ns and lasts 0.3 ns. Does the gas relax
to complete thermal equilibrium with uniform pressure and

temperature throughout the cell in between beam bursts?

34

Except for an occasional nuclear scattering, the beam
particles will interact only with the electron clouds of
the target nuclei. The maximum energy transfer to one
electron from a 20 MeV deuteron is 22 KeV. Since binding
energies for electrons are less than 100 eV, there should
be many electrons with KeV type energies produced in the
.gas. This represents the generation of a "hot" plasma of
electrons. The time and method for relaxation of this plas-
ma is a question and the effect of this plasma on the local
density in the gas is also a question. One knows that a
pulsed spark chamber sparks, therefore the passage of one
charged particle through a gas causes some electrical
disturbance which in fact persists for times at least as
long as 20 ns. Aside from a general interest in what
happens in a gas as a function of time after the passage of
a beam burst, it is important to know what 5 is like in the
region of the beam so that a nuclear cross section can be
obtained. The most available direct measure of E is in
,fact a cross section. During the data taking on luN a
spectra was collected twice, once with a beam current of
100 na and once with a current of 10 na. The 10 na run
was followed immediately by the 100 na run. The results are
shown in Table 2.42.

In Table 2.42 P is the pressure, Q is the integrated
charge, and (l + DT) is the dead time correction factor.

The temperature was constant.

35

Table 2.42 Comparison of cross sections measured with beam
currents of 10 na and 100 na

Average Charge Pressure 1 + DT x Counts : Relative
Current in DC in in.Hg PQ SIGMA
100 na 168.78 8.15 0.73682 29439 2169
10 na 60.81 8.18 0.20183 10815 2183

The values for SIGMA indicate that there may indeed be a
0.5% density effect, but the error in each SIGMA is about
1%. Nothing definite can be said. No correction was made

to the density for the local heating effect.
2.46 Beam Induced Electron Emission from the Target

The whole question of what happens in the gas as the
beam passes through stimulated our interest in measuring the
total electron flux out of the target and the energy distri-
bution of these escaping electrons. The method used was
very simple. An ammeter was connected to the gas cell in
series with several batteries and the gas cell was insulated
from the chamber with a teflon plug. Beam was then passed
through the cell and the target current was recorded as a
function of beam current and target bias voltage.

The emitted electron current was found to be approxi—
mately 4% of the beam current and as shown in Figure 2.44

most electrons had energies less than 400 eV.

onII
7.0 P
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5.0 » BRCN BIOS VOLTAGE

TOINL ELECTRON ENISSION IN 1 OF NEON CURRENT

 

 

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Figure 2.44_ Electron Emission
From Gas Targets .

37

In any case, electron emission is not a candidate as
a heat loss mechanism from gas cells. Most of the energy
lost by the beam in the cell probably remains in the gas
until it is conducted away by the windows and the cell
body.

The maximum energy of #00 eV makes protection of the
detector and faraday cup trivial. A permanent magnet of 1
gauss or greater placed in the collimating units will

protect the detector from 400 eV electrons.

38
2.5 Beam Integration
2.51 Faraday Cup Design Criterion and Construction

The faraday cup was made from 2 short (18 inches)
sections of a H inch aluminum beam pipe. Both ends of each
section had our standard O—ring flanges. An aluminum face
plate mounted on the end of one of the sections was the
support for the collecting cup and also had a BNC feed-through
for connecting the cup and the cable to the integrator. As
shown in Figure 2.51 the collecting cup was 16 inches long,

3 inches in diameter, and was supported by three ceramic in-
sulators. The base of the cup was 0.5 inches thick and the
whole cup was made of aluminum. A nylon section of beam pipe
3 inches long with O—ring flanges on each end was inserted
between the two aluminum sections. The nylon section con—
tained an aluminum collecting ring which was 0.5 inches

long, u inches 0. D., and 3 inches I. D. A BNC feed-

through was connected to this ring.

When in use these three sections of pipe were mounted
on the beam exit port of the scattering chamber and two 3
Kgauss horseshoe magnets were taped on top of the metal
sections; one directly over the end of the collecting cup
and one in the center of the aluminum entrance section. These
magnets provide a magnetic field over the interior of the
pipes strong enough to "trap" 3.” MeV electrons. Figure

2.52 shows the faraday cup mounted on the scattering chamber.

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41
2.52 Faraday Cup Operation

The leakage resistance between the collecting cup and
the case was greater than 100 meg ohms. The resistance be-
tween the case and ground was also greater than 100 meg ohms.
The case and consequently the outer conductor of the co-ax
were insulated from ground by the nylon section of beam
pipe. The other end of the co—ax connected to the charge
integrator in the data room where a ground is established
by the electronics racks. Hence no D.C. ground loops are
possible.

Beam current was collected with and without the magnets
in place. The collected currents changed by about 7%.

While this comparison was being made, current fron the col-
lector ring was monitored and was typically H to 6 per cent
of the beam current. The collector ring current was Opposite
in sign to the beam current; that is, electrons were being
collected. With both magnets in place a small current

with theisame sign as the beam was detected on the collector
ring. This current was 0.7 per cent of the beam current

and was probably due to broadening of the beam by the target.
On the basis of these measurements, the efficiency of the

charge collection was set at 0.993 t 0.002.

U2

2.53 Charge Integration Electronics and Calibration

An Ortec model 439 current digitizer was used in con-
junction with an Ortec model #30 scaler to integrate the
change collected on the faraday cup. A five volt mercury
battery and a 30 meg ohm resistor were used as a current
source for calibrating the digitizer. The battery voltage
was measured using a standard cell and a potentiometer.

The resistor was purchased with a guaranteed accuracy of
0.1%. The current digitizer input impedance is variable.

It depends on the capacity of the cable connecting it with
the faraday cup. The input is a virtual ground and does not
make excursions away from ground_greater than :5 mv.

This is why a battery voltage of 5 volts or greater must be
used to calibrate the ”39 if an accuracy of 0.1% abso—

lute is to be achieved. The current source was connected
directly on the digitizer input for one set of calibrations.
The current source was then moved out to the experiment room
and connected to the beam stOp inside the faraday cup. The
calibration did not change. In fact, the calibration of the
#39 as supplied from Ortec was within 0.1% of the calibra—
tion we measured, so the manufacturer's settings were not
changed.

The output of the #39 is a series of logic pulses.

For the scale range used each logic pulse was output for

“3

10 coulombs integrated. These logic pulses were

every 10—
fed into two Ortec 430 20 megacycle scalars. The two
scalars were connected so that one was an overflow counter.
The overflow scanner was slaved to the other scalar so that
both could be cleared and started together.

The #39 also has an analog output which is proportional
to the average current being integrated. This output was
read on a meter at the cyclotron console and was used to
monitor the beam while running. The current on the col—
lector ring was also monitored at the console. The calibra-

tion of the ”39 was periodically checked, but showed no

change.

44

2.6 Scattered Particle Detection System

2.61 Collimating Units

The gas cell target is large in the sense of sub-
tending a large solid angle as seen from the position of the
detector and beam scatters from any portion of the gas or
windows through which it passes. In general the only
scattering of interest is that from a small region in the gas
cell as shown in Figure 2.ul and again in Figure 2.61.
Figure 2.61 also shows the rest of the collimating units.
The side walls shield the detector from unwanted particles
which originate anywhere in the plane of the beam and de-
tector. Two baffle slits placed inside the side walls stop
any particles which enter the front slit and would scatter
once from side walls into the detector. The holes in these
baffle slits are larger than the acceptance cone established
by the front and rear slits and consequently do not enter into
any geometrical properties of the collimating units. The side
walls extended one inch beyond the front slit.
This reduced the amount of radiation incident on the slit
and hence reduced slit scattering.

The dimensions of the collimating units were chosen
(including slit openings) so that geometrical corrections to
the cross section were less than 0.1% at any angle. Silverstein

(Si 59) has an excellent article in which he discusses most

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46

of the geometrical considerations appropriate to a two slit
collimating unit. The expressions appearing in his article
were checked extensively by Dr. R. Atneosen of this laboratory
and then Dr. R. A. Paddock wrote a program which embodies

the entirety of the Silverstein calculations. The program
name is "G-FACTOR".

The slit openings were approximately 0.125 inches wide
and 0.255 inches wide in both slits. This width represents
approximately 0.3 degrees of angular acceptance in the scat-
tering plane. The kinematic broadening contribution to the
energy resolution for this slit size was a maximum of 30 KeV.
Even though the acceptance cone of the collimator had an
opening of 0.7 degrees, approximately 80% of the total accep-
tance is contained in a smaller cone with an Opening of
approximately 0.3 degrees. That is, the acceptance, or
differential solid angle, is not uniform across the accep-
tance cone. Figure 2.62 shows several examples of differen—
tial solid angles as a function of distance from the center
of the gas cell.

In general a set of collimating slits gets "better"
as the front slit is moved closer to the center of the gas
cell, and the front slit opening gets smaller, the back slit
is moved away from the gas cell, and its slit opening also
.gets smaller. The only Undesirable effect of doing this is

that the count rate decreases as the solid angle of the back

1.7

Yield . Sue Sde’ Gian-19.6)

9=90°

} F a

 

 

 

.. / m

Figure 2.62 Differential solid angle
' as a function of distance from

the center of Rotation

 

 

 

Figure 2.62a

Multiple Scattering Efficiency

H
*‘° (9 — e')2

t _ t
(do gm e G)2 ms dO(O )
~£ u-IO

considering the multiple scattering window at the beam
or center of the cell.

Note that arms for 0.5 mil Kapton is 0.16 deg.

d9(e') is trapezoidal as shown in Figure 2.62

Its full angular width is 0.7 degrees.

One expects that the multiple scattering efficiency will
be different from 1 only because of the discontinuities
of the trapezoid and hence is an effect appreciably less

than one percent.

U8

slit decreases. There is no reason why the front slit
shouldn't be as close to the gas target as possible,
except that for a fixed overall size of collimating unit,
the closer it is placed to the center of rotation, the
sooner the beam will strike the side walls as the unit is
rotated towards zero degrees.

Figure 2.63 shows the output of "G—FACTOR" using the
dimensions of the collimator used in this experiment.

Silverstein's expression for cross section is

 

. N
do = SlnG a' g" -l p
E GO [1+X+Fy+eZ] NTNB

where x, y, z are complicated expressions involving dimen—
sions and shapes of slits and the beam. 0' and a" are
the first and second angular derivatives of the dif-
ferential cross section. Np’ NT’ and NB are defined
in 2.1. The beam divergence of 0.4 degrees was neglected.

In Figure 2.63 the calculated G is

0.! 0'"
[l+x+-6-y+3-z]

GO

and is shown for various angles, slopes, and curvatures.
0.!
None of the data taken in this experiment showed 3 to be

It
_greater than 200. or«% to be greater than 2H0. As a result
no slope or curvature corrections were applied to the data.

Figure 2.6% is a picture of two collimating units with

detector blocks in place. Also shown are the supports for

h9

G-FACTBRS FDR GAS CELL TAQGETSO

GAS CELL GEODETQY
DIST. FROM CENTER 9‘ CELL T6 PEAR CSLLIMATBR c 13o9“00(+/o 0.0250) 1N.
DIST. aETwEEN THE TNS CELLXHATBQS U 1000250(*/' 000050) 1‘0
FULL WIDTH BF FRONT SLIT - c.1270(+/'C-DDOS) [No '

REAR C8LLIHAT8R(83LOVG)

NIOTN‘- 0-1215l-/- 0-0005) 1N-
HEIGHT . 0.1755l-x- O-OOOSI IN.
BEAN SPOT

DIAMETER I 0°1500 IN-

ZERU BROER G-FACTOR - 4-1907NE-OSI-I- 0-5N58 x)
C" ‘l

ANGLE R1: 3' we: 7 G-FACTBR x CHAVGE
IOEGI (CH-i

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6-00 0-000002-00 0.000002+00 6.195272-05 0-1081
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8-00 0-000002-00 0-000002+00 5.193172-05 0.0579
9-00 O-OOOOOE-OO c-cocooz-co 5.192602-05 0.0553
10-00 0-000002-00 0.000002-00 5.19220E-05 0.03N7
11-00 0-000002-00 0-00000E+00 5.191902-05 0-0276
12.00 0.000002-00 a.00000£+00 “.19167E-05 0.0221
13-00 0-000002-00 C.OOOOOE+00 «.191N9E-05 0.0179
15-00 0-00000E+00 0.000002+00 4.191352-05 0.01~8
15.00 0.000002-00 0.000002-00 4.1912uE-05 0.0119
20-00 0.000002-00 0.OOOOOE+00 5.190912-05 0.0039
25-00 o-OOOOOE-OO 0-00:00E+00 6.19075E-05 0.0002
30-00 0.000002+00 0.000002-00 6.190872-05 0.0018
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65-00 O-OOOOOE-OO 0.000002-00 4.190522-05 0.0053
70-00 0-000005+00 0-000005+00 ll-190522-0‘5 0-005~
75-00 0-00000E-OC 0.000002-00 5.190512-05 0.0055
80-00 0-000002-00 c.000002+oo b.190512-05 0.0055
85-00 0-00000Eo00 CoOOOOOEtoo 5.19051E-05 0-0055
90-00 0-000002+00 C-COOOOEtOO 4.19051E-OS 0.0055
10-00 5-000002-01 c-OO0COE+00 ~.19392£-05 0.0757
10-00 7-500002-01 0-00000E+00 5.194732-05 0.096N
10000 1-00000E-02 O-OOCOOE‘OO 5.19564E-05 0.1188
10-00 1.250002-02 C.OOOOOE+00 ~.19550E-05 00137b
10-00 1.539932-02 C-OOOOOE*OO “o19736E-05 0-1580
10-00 1.750002-02 O-OOOCOE-ca 5.198225-05 0.1785
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10000 0-00000E-00 S-ooaocE-CI 5.19568E-05 0-0939
10-00 0-00000E-00 7.50000E+01 5.195922-05 0-1235
10-00 0.000002-00 1.000002-02 5.197165-05 0.1530
10°00 0-00000E*00 1-50000E502 4.199632-05 0.2121
10-00 1.000005-02 1-00200E+02 ~.20060£-05 0.2351

Figure 2.63 G-FACTOR Output

meOHm .3900me .
use mess: mcHeeEfiHHoo :m.m enemas

 

 

51

the collimating units. These supports were adjustable in
height, aligned by dowels in the bottom, and had two steel

tracks on which the collimators were assembled.
2.62 Detector Holder and Cooling Blocks

Figure 2.6” shows two types of detector holders in
place in the collimating units.. The holders were made of
Delrin, a plastic used extensively in our beam lines. They
had alignment ridges on the bottom which fit into the slot
between the support tracks. The detectors were mounted in
a circular hole in the plastic and held in place by plastic
set screws. The cooling block was inserted into the plastic
body below the detectors and was in contact with the case
of the detectors.

Partial electrical shielding was provided by the
collimator units themselves. Of the many styles tried,
this configuration resulted in rapid cooling of detectors
with low (20 pf) stray capacitance. The other designs
used never achieved good cooling and low noise (capacitance)
simultaneously. Much of this development work was done in

co-0peration with I. D. Proctor of this laboratory.
2.63 Dry Ice—Alcohol Cooling System

All detectors used in this experiment were cooled by

a dry ice-alcohol system. The cooling blocks in the

52

detector holders were connected to Eastman poly flow
tubing. These lines were run out of the scattering chamber
through nylon insulated Eastman KWik Disconnect fittings.
The monitor counter and main detector were connected in
series in the alcohol flow. Outside the scattering chamber,
a pump circulated the cold alcohol.

Two pump designs were used; a mechanical piston type
positive displacement pump, and a Bendix electric fuel
pump (automobile type). Both worked well. The piston
pump was made of teflon and nylon (piston and block respec-
tively) and was submerged in the alcohol reservoir. It
was driven by a 60 RPM motor via a piston rod. A compli—
cated set of electrically activated valves was used to
control the alcohol flow. The cooling tank was simply a
stainless steel can with a 1/4 inch brass bottom. The
heat exchanger was copper tubing that was soldered to the
brass. The heating tank was a cylindrical brass pressure
bomb with copper tubing inside for heat exchange. The
laboratory hot water lines were connected to the bomb.

A simplified system was constructed later which used
the Bendix pump. Since the fuel pump can run against a
blank line, a simple "T" network was used with two electri-
cally operated valves. This system was smaller and easier
to insulate. Maintenance was also more practical. The

electric fuel pump was powered by a small 12 volt supply.

53

The filter elements were removed from the pump before

use.
2.69 Silicon Surface Barrier Detector Fabrication

Several 3 mm blanks were cut from 55,000 ohm-cm, n-type
silicon. The blanks were 1/2 inches square. These blanks
were hand lapped and etched using a mixture of acids. The
etched blank was then epoxied into a ceramic disc. The
epoxy used preserved the n-type of the silicon surface. A
.guard ring of epoxy which changed the silicon surface in con-
tact with it to p-type was applied to the front surface.

The front surface was then oxidized in boiling de-ionized
water for U5 minutes. A thin layer of gold was evaporated
onto this freshly oxidized front surface. The back was

then re—lapped and aluminum coated by evaporation. Dr. C.
Gruhn advised me on the construction of these detectors.

A more complete fabrication procedure is found in Appendix C.
Construction of thick silicon surface barrier detectors is
discussed in E. D. Klema's article (Kl 69).

Figure 2.65 shows the 3.2 mm silicon detector used in
this experiment. Also shown is a 3.0 mm Lithium drifted
silicon commercial Kevex detector. The 3.2 mm si detector
was fully depleted at 650 volts as seen by detecting 0-
particles through the back of the detector, and was measured

to have an intrinsic resolution of 25 Kev for 20 MeV

Manama. dough—w sea-3mm 00356 e,
c833 @333 3 533m as m m M
as m 55m 5 .m .2 L

 

5h

 

 

55

deuterons. When cooled, the detector could be biased up
to 1200 V with no measurable (<.l na) leakage current and

no change in resolution.
2.65 EAE Configuration Electronics

Figure 2.66 shows a block diagram of the complete
EAE electronic configuration. Two detectors are employed,
and particles which are counted must stop in the second
detector after having passed through the first. Different
types of particles with the same total energy will leave
different amounts of energy in the first detector. They
then can thus be separated on the basis of their different
specific ionizatiOn.

To provide a signal prOportional to the total energy,
charge from both detectors, D1, and D2, was collected in an
ORTEC 109a charge sensitive preamp (P3). The charge from
each detector was also measured separately by two more
preamps (P1, P2). The resistor R across the input of the
total charge permits the summing of charge in each detector
and thus obtain a pulse in (P3) prOportional to the total
energy.

The preamp voltage pulses are fed to Ortec #00
selectable Active Filter (81) Amplifiers. The prompt out—
put is set to bipolar and sent to a Timing Single Analyzer,

Ortec 920 (TSC), the delayed output is made unipolar and

56

h 33.0

 

 

 

 

 

 

 

 

 

20:550....200 0229:0040 040

 

 

 

 

 

 

 

 

 

 

 

 

 

 

com on“ mmaumnoi
m<-m . I
04 m0 0 5......
: mid—um M... .9 w.
H . «a . e W53 No. WM .0
4.
325 um m<-m — n B _ >+
l _l e a ‘ I...
Lulu: NC ”on r 5... P20”...—

0..

o 0... 00h

57

sent to an Ortec #02 linear gate. If the bipolar pulse

is within a set window, a logic enable pulse is sent to

the linear gate and the unipolar signal is passed. This
same logic pulse is sent to an Ortec #09 Slow Co—incidence
module for both E and AE channels. If there is a co-
incidence, two linear gates are opened and the E and AE uni-
polar pulses are sent to the Northern 629 ADC's. The
shaping time for best resolution was 0.5 ns.

Since the 2D data routine "TOOTSIE" was available,
some simplification of the typical EAE configurations was
possible. Normally the product of AE and E is formed and
adjusted until a pulse is achieved which has a constant
height for a particular type of particle, independent of
energy. Then a window is set and only one particle type
is collected.

In our case it is sufficient to insure that AE and E
are in co-incidence and present them to the X and Y ADC's.
The 2D display that results has bands corresponding to all
the various particle types and energies which yield both
an E and a AE pulse. The bands are not straight, but the
program allows the operator to select any area of the 2D
display and produce a spectrum of up to 0028 channels in
the X-axis. Five such bands may be picked. Two bands can
be seen in Figure 2.67 which is a photograph of the 2D scope

display. The large dots which are placed by switch control

 

it“
it

 

- FEET-e - .
' . ecte‘fl '_

Bands “ .

 

60

and the dotted line forms one boundary of the band; it is

a polynomial fit to the large dots. Figure 2.68 shows the
same two bands, but now two dotted lines have been accepted
by the computer. The computer will then sum all the counts

within each pair of lines vertically and output spectra.
2.66 ET Configuration Electronics

The electronics for the time of flight particle
identification is shown in Figure 2.69. A single detector
and preamp are used. The detector (D) charge pulse passes
through the inductive pickoff of the Ortec 260 Time Pick
Off (TPO) and into the preamp(P). A very sharp negative
pulse is then sent to the Ortec 003A Time Pick Off Control
(CU) when the slope of the charge pulse from the detector is
.great enough to produce an induced voltage pulse larger
than the discriminator setting. This fast logic pulse is
then sent through the Ortec ”17 Fast Discriminator (FD) to
the start of the Ortec #37A Time to Pulse Converter.

The stop pulse originates fromeulOrtec Zero Crossing
Discriminator (ZCD) which is activated by a sine wave signal
from the cyclotron dee. The stop pulse could be delayed by
the Ortec H25 Nano Second Delay (NSD). The output of the
TPHC, which has a pulse height proportional to (T — t)
where T is an arbitrary constant less than 50 ns and t is

the particle flight time from'the target to detector, is fed

to the Y _ADC.

mum. ooN
2053861 . -

  

 

 

 

 

 

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61

 

 

 

 

 

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000.50

62

The energy signal is passed through the same elec-
tronics as described before and delayed, then fed to the
X ADC.

An Ortec pulser and charge terminator was used to
inject a charge pulse into the system, so that the T pulse
and the E pulse could be brought into coincidence at the
ADC's. There were no external coincidence requirements on
E and T, therefore an E pulse without a'T would appear on
the X-axis and T pulse without an E pulse would appear on
the Y—axis. This was an invaluable diagnostic aid in moni-

toring the performance of the timing circuit.

63
2.7 Time of Flight Particle Identification (TOF)
2.71 Methods of Use and Evaluation

When in use the TOF system shown in Figure 2.69 was
very reliable. Individual modules were found to be as re-
liable as the charge sensitive preamps. As mentioned in
2.95, the time resolution of the beam was no problem, and in
addition there seemed to be no phase shifts in time even
for'the minor alterations needed to retune the cyclotron.
Retuning was infrequent if the cyclotron centering was
correct.

T pulses and E pulses were collected into the 2D array
of "TOOTSIE". Then bands were set and spectra collected.
In this case however, a pair, E and T, was not required to
store in the 2D. In this way the timing circuits could be
monitored and the TOF efficiency measured. If counts
appear on the time axis, then the TPO is triggering on
noise or E pulses rejected at the TSC. Occasionally one
of the Fast Discriminators would become defective and would
break into oscillation causing a flood of T pulses.

Figure 2.71 is a section of the 2D 256 x 60 array.

The vertical direction is (T - t) with a resolution of
about 0.2 ns per row. The horizontal direction is energy.
The four bands corresponding from top to bottom to protons,

deuterons, tritons and 3He's, and alphas can be seen. The

20 DISPLAY OF EVENTS

6h

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’Figure 2.71
TOF 2D ET

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Figere 2.32;:
”TOF 20 ET

 

66

figure was made on the Sigma 7 line printer with zeros

surpressed. Note that the particle identification is ex-
cellent as there are mostly zero counts in between bands.
The over all timing (or mass) resolution is about 0.6 ns.

Slit scattering can be seen extending horizontally back
from the elastic deuteron group near the "mass 2" label.
There is also some indication of events caused by excita-
tion of the detector nuclei, in the slit scattering band.
It is particularly easy to interpret counts which appear
at any location in this type of 2D display because the two
axes are flight time and energy. There is a slight 0.2 ns
shift in time for various peak centroids in the mass 3
band. This is a result of the difference in ionization
density for 3He's and tritons in the detector.

The data displayed was taken with the M. S. U. 3.2 mm
surface barrier detector. The target was luN, beam energy
20 MeV, and scattering angle #0 degrees. The lowest energy
shown (left) is about 3 MeV. The spectra of the four bands
are shown in Figure 2.73, plotted on a 3 cycle logrithmic
scale. There is no discernable "leakage" from one spectrum
into another, again reflecting the high degree of particle
selection. These spectra have an energy resolution of about
50 KeV. This data was taken using the 3.2 mm detector
fabricated in this laboratory. Figure 2.72 shows a display
of ET2 vs. E. The multiplication was performed in the com-
puter. Data was not taken in this mode because the dead

time is approximately 180 ns.

rm WW

LIN ML

68
2.72 System Efficiency Measurement

The TOF system does "miss" events. An E pulse can be
generated without a T pulse, particularly at the lower ener—
gies. The principal contribution to this effect is noise.
Since the time pick off is a SIOpe sensitive device, random
noise pulses with appreciable slopes but short duration
could trigger the TPO.

The timing efficiency curves for various detectors are
shown in Figure 2.701 These curves were generated from the
2D displays. The total number of events at each energy was
obtained by summing in the t direction. The number of events
at this energy on the axis was then divided by the summed
total to obtain the probability of missing an event as a
function of energy. The efficiency curves improve as one
‘goes to detectors with smaller rise time, and smaller stray
capacitance. The worst detector configuration consisted of
two stacked 2 mm Ortec silicon surface barrier detectors.
The best was the 3.2 mm silicon surface barrier detector
made for this experiment. These efficiency curves represent
the best obtained for each detector. They are considerably
degraded by noise, ie, all the curves shown became much
worse when the light was left on in the scattering chamber.

The systematics of TOF efficiency as a function of the
RC product for the detector was worked out in cooperation

with R. H. Howell of this laboratory.

69

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70

2.73 Comparison of TOF and EAE Cross Sections

The luN(d,d) elastic cross section was measured using

the EAE configuration and again using the ET electronics
on a different day. On both occasions the beam energy was
set at 20.58 MeV and the cm scattering angle at 78.07
degrees. The EAE result was 1.215 mb/sr i 0.019 mb/sr.
The ET result was 1.226 mb/sr i 0.015 mb/sr.

The two results agree to better than 1%, showing the
consistency of the methods. This exercise was also a very
.good test of the reproducibility of the cross section

measurements.

2.8 Relative Merits of TOF

Identification

We have shown that for
the two systems of particle
cross section and hence are
sense.

There are however many

71

and EAE Systems for Particle

energies greater than 10 MeV,
identification yield the same

equivalent in the primary

differences between the two

systems. The number and type of electronics modules are

different. The number and type of detectors are different.

The skills learned in EAE work are not applicable to fast

timing work and probably accounts for the infrequent use of

TOF.

TOF does not separate triton's and 3He's where EAE

does. TOF is best performed with one thick detector which

may not exist for the energy range of interest. If two

detectors are employed, EAE will separate only those particles

which leave some energy in both detectors whereas TOF will

perform mass identification on all particles with energy

.greater than some low value (=2 MeV). There are experiments

where two detectors are a major drawback; for example, when—

ever the particle energy is to be measured accurately.

There is always some dead layer on the back of the front de—

tector. The energy lost in this region is not collected and

introduces an energy non—linearity which is difficult to

calculate or measure.

72

TOP does not have the same efficiency for all ener—
‘gies whereas EAE does. This fact disturbs many people, but
the efficiency is easily measured if one wishes to use

TOF.

There also seems to be a feeling on the part of many
that using fast timing electronics is touchy and difficult.
This was probably true at one time, but I have not found
this to be so in the present experiment. Credit must of
course be given to the superb time structure of the cyclotron
beam. The combination of narrow (0.3 ns) phase width and
excellent phase stability, which is characteristic of the
M. S. U. cyclotron, is probably not available at many labora—
tories. Phase widths of greater than 1.2 ns make TOF

impractical for our 36" scattering chamber.

73

2.9 Monitor Counter

The monitor counter electronics is shown in Figure 2.91.
In this experiment the monitor counter was used exclusively
as a random pulse generator whose rate is proportional to
the beam intensity. Large variations in count rates occur
and these variations must be considered in measuring dead
time.

A logic pulse generated for each monitor event is sent
to both a 20 MHZ scalar and to the Northern Four Parameter
Adapter. While either an E or a T pulse is being processed
(#0 ns), the Northern Adapter will not pass the monitor
pulse. If neither an E or a T pulse is being processed,
the monitor pulse will be passed and the channel zero regis-
ter in the computer will be incremented by one. One can then
compare the monitor scalar value to that accumulated in
channel zero. That difference is then the number of monitor
events which occured while the ADC's were busy. The number
of events collected by the ABC's were then multiplied by
the ratio of the monitor scalar events to channel zero

events. Over 20,000 monitor events were recorded for each

spectrum.

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75

3. DATA COLLECTION, REDUCTION, AND ERRORS
3.1 Data Collection Method

Following the accumulation of some data into~the 2D
mode, the particle selecting bands were set. The beam was
dumped on a valve near the cyclotron, the monitor scalar,
channel zero, and the current integrator scalar were set to
zero. The angle and temperature were read by remote T. V.
and noted. The light in the scattering chamber was switched
off and the T. V. turned to read the pressure. The initial
pressure was noted, "TOOTSIE" put in the "run" mode and
erased, and'the valve opened to initiate the collection of
spectra. When the elastic peak contained more than 10,000
counts, the valve was shut, the spectra dumped onto cards,
line printer, and plotter simultaneously. The monitor scalar,
channel zero, and integrator scalar were recorded, together
with the final pressure and temperature. In addition the
pressure was monitored during the data collection. Pile up
was kept small by observing the E pulses on the oscil-
lisc0pe and adjusting the beam current downward in intensity
until no pulses were observed to be closer in time than
20 us.

The beam energy was obtained from the NMR readings on
M3 and M9, the analyzing magnets. The absolute error in

the beam energy is obtained from a calibration procedure

75

76

involving the Enge spectrograph and known Q values for
various reactions. This is discussed most completely in
G. F. Trentleman's Ph. D. thesis (Tr 70). This work is also

published in another article (Tr 70a).

77
3.2 Reduction Method: Program Picklepeak

The spectra obtained were reduced to differential
cross sections and state excitation energies using the pro-
,gram Picklepeak. This program processed peaks automatically
on the basis of the state energy and width. Background was
measured at preset energy regions and then subtracted auto-
matically. The input and output was arranged so that each
angle, with its four spectra could be processed separately
from cards with the output onto cards, line printer or tape.
There was, however, also the option of changing a few control
cards and re—processing any or all parts of the data in a tape
to tape mode.

This option was used several times. Ideas for improve-
ment or extra calculations were easy to implement and apply
to the data, in whole or in part. The output to tape
allows one to punch or print only what is absolutely necessary,
thus reducing the expense of updating the calculations on
5000 peaks.

The input to program Picklepeak for each angle was:

1. Four 20M8 "crunch" spectra

2. Charge in 10.10 coulombs and per cent error
‘3. Faraday cup normalization and per cent error
9. Temperature in degrees C. and error in de-

.grees C.

5. Initial Pressure in inches of Hg

10.

ll.

12.

13.

14.

15.

16.

l7.

18.

19.

20.

78

Final Pressure in inches of Hg

Gas cell diameter in inches

Scattering angle and error in degrees

6(0) the g factor and its error in per cent
Beam energy in MeV and error in MeV

Detector efficiency factor and error in per
cent

Monitor scalar

Channel zero

Masses in amu of target, projectile, and
product particles for all spectra

Q values in MeV for all reactions to be
processed.

Five lists of excitation energies and widths
in MeV for which differential cross sections
are desired (Read once only)

Default energy widths in MeV for each reaction
Energy positions and widths to be used in
measuring background automatically for each
band (spectra)

Approximate centroids of two peaks used to
establish the absolute energy scales (up to
5 pairs)

The Q value and excitation energy in MeV of

the calibration peaks.

79

21. (Optional) Background vs. channel number
(9 pairs)--with override of automatic back-
.gound subtraction
22. Any of the special purpose control cards
a. total cross section

do
b. deE

 

c. reactions
d. peak strip cards
e. automatic peak search (statistical
criterion)
Internal input:
1. Complete energy loss tables for gas and
kapton.
2. TOF system efficiency factor as a function of
energy and error in per cent.
Subroutines:
KTQ and Kine, written by P. J. Plauger, are rela-
tivistic kinematics codes and were used as sub-

routines for Picklepeak.

The output of Picklepeak was prolific. 90 states per
angle for 52 angles were processed to angular distributions
of differential cross sections and total cross sections in
the lab and center of mass. All appropriate efficiency
factors and errors were applied to every piece of data.

The excitation energies for all 90 states were computed.

80

The error in these energies was set at less than 15 KeV by
comparing the distribution of the calculated energies to the
known energies for some of the states. Energies and errors
are found in Appendix A and B.

The expressions used in Picklepeak for calculating the
differential cross section and the total error are shown in
Figures 3.21 and 3.22 respectively. The output tape,
which held results grouped by angle, was input to program
Schuffle which produced an output tape, grouped by states,
and ordered in each group by angle. That is, each group
was some type of angular distribution. This output tape
was then converted to cards by groups and plotted using the
program Dataplot, written by D. S. Sosnoski of this labora-
tory. These Calcomp plots were used directly as complete

figures in this thesis. Table 3.21 shows summary of errors.

81

Table 3.21 Summary of Errors and Efficiencies

 

Source Adjustment Percent Error
Effigiency max min
Statistical and Background 1 30.0 0.9
Geometrical l 0.64 0.6“
Multiple Scattering l 0.1 0.01
Faraday Cup 0.993 0.3 0.2
Charge Integration 1 0.1 0.1
Target Gas Partial
Pressure 0.98 + 1 0.7 0.9
Temperature 1 0.01 0.01
Detector 0.995 0.5 0.5
Beam Energy (depends on
pressure and cell diameter) 1 MO KeV
Angle 0.0“ deg .1 deg .05 deg
Slope and Curvature 1 0.01 0.01
Time—of—Flight 0.99 + l 1.0 0.1
Dead Time 1.5 + l 0.5 0.01
Pile Up 1 0 0
Linear 2.u9
Quadratic 1.3

82

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83

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U. l”N(c1,<jl) ELASTIC SCATTERING
9.1 Introduction and Angular Distribution

There were two reasons why deuteron optical potentials
were of interest; 1. to determine if more accurate deuteron
optical potentials would affect the DWBA analysis of the
15N(p,d)lU'N reactions, and 2. to determine how well, and
over what angular region, "standard" Wood-Saxon type Optical
potentials actually reproduce accurate deuteron elastic
scattering data. As mentioned in the introduction, we were
not able to find suitable data in the literature. This
is the reason why this accurate elasfiic cross section
measurement was undertaken.

The deuteron elastic angular distribution from 11+N
at 20.13 MeV is shown in Figure ”.11. Also shown is the
rutherford cross section. As can be seen, the principal
features of the angular distribution are the very steep
ascent of the cross section towards forward angles (two
orders of magnitude in 10 degrees), and the extremely
large back angle scattering (28 times the rutherford

cross section).

84

OIFFERENTIRL CROSS SECTION II NB/Sl

OSIONI/OONEOI NI/Sl

'.0"20" 2.. D, “'0

85

     
 

 

 

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10 ._ ELRSTIC CROSS SECTION COHPRRED TO RUTHERFORD
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Figure “.11 iuN(d,d) Data PlUs
Rutherford and Data Plus Best Fit

86

“.2 Optical Fitting with Snoopy-—Accuracy

The program used to generate the optical fits was
Snoopy Two written by P. Schwandt. The M. S. U. copy of
this program was updated in June 1970 from information
supplied by Schwandt.

The form of the optical potentials available in

Snoopy Two are as follows:

U(r) = UC(r) - V(l + ex)'l - 1wS(1 + ex')‘l

T 1‘1
+ HiWD(d/dx )(l + ex ) + Uso(r)

_ 2 r 2 = 1/3
where Uc(r) - Zze /2RC[3 - (r/RC) ], r 5 RC - rCA

= Zze2/r , r 3 Re
_ l x" -l + +
USO(r) - 2VSO ;(d/dr) (l + e ) L.o

x = (r - rOAl/3)/aO
x'= (r - rWAl/3)/aw

x"= (r -rSOAl/3)/aso

For spin S = 1, two real tensor spin-orbit coupling terms are

included:
UTR(r) = —VTRf(r,rTR,aTR)[(S r) /r — 2/3]
++

UTL(r) = -VTLf(r,rTL,aTL)[(L'S)2 +(L'S)/2 — 2L2/3]

with the following shape factor options:

87

1. f(x) = e-X2

2. f(x) = “(d/dx) (1 + e")‘1

3. f(x) = r(d/dr) [%(d/dr) (1 + ex)'l

U. f(x) is inputted as function of r,
where x E (r -rTA1/3)aT.

In the first of these tensor couplings, U the matrix

TR’
elements off—diagonal in L are ignored.

An excellent description of the calculations and
search procedures performed by Snoopy Two, including the
description of input parameters and general operation of

the code is contained in the publication by Schwandt (Sc 69).

The code was checked in three ways:

1. Various potential parameter sets were used by Schwandt

at Indiana on their computer to calculate l1“N(D,D) at 20.13
MeV. His results were sent to us and compared with identical
calculations on the Sigma 7 using our version of the code.

Schwandt's results were reproduced exactly.

2. Identical deuteron parameters were used in calculations
using Julie, the DWBA code from ORNL (BA 62 ), and Snoopy
Two and the two codes were forced to compute with the same

values of L

max’ the highest orbital angular momentum

partial wave. Several values of Lmax between 8 to 16 were
used. The cross sections were calculated at identical angles

and agreed to better than one per cent.

88

3. A set of deuteron parameters was chosen as a starting
point. Snoopy was allowed to search until CHI-SQUARED was
minimized. The two parameters, AMPEN and CBHEX, which con—
trol matching and integration procedures in Snoopy Two,
were changed and searching process repeated. The minimum
CHI-SQUARED achieved was plotted as a function of CBHEX
with AMPEN fixed by the value of CBHEX. The results are
shown in Figure “.21 where it is seen that CHI—SQUARED
descends sharply to a long plateau region. The code must
be operated in this region to be accurate. For this work

CBHEX was taken as 10-3.

The definition of CHI-SQUARED in Snoopy Two as used for the

elastic scattering is:
1

N a calc - 0 ex
CHI—SQUARED a E 1 i 9)
i=1 Aaiexp

 

Our version of Snoopy was also modified by myself and
D. Sosnoski for various types of punch output to make it

compatible with the Dataplot program.

039 Nmoozm pom
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89

 

 

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9O
H.3 Discussion of Results

As can be seen in Figures ”.31 and ”.32 a number of
different sets of potential parameters give fits with CHI-
SQUARED's of about 2000. This number is the total CHI-
SQUARED. The average CHI-SQUARED per point is obtained by
dividing the total CHI-SQUARED by 52.

A total CHI—SQUARED of 1750 is the lowest we have been
able to achieve. This corresponds to an average CHI-SQUARED
per point of 3H. In an overall way the fits are reasonable.
However, whenever the two peaks around 80 deg. and 120 deg.
begin to be fit in the correct ratio, the fit becomes too
large near the top of the peak at 20 deg. When the forward
angle data is fit very well, the two back angle peaks at
80 and 120 degrees are fit poorly. Some parameter sets
were found that reproduced the observed shoulder near 160°
and had approximately the proper ratio of heights near 80
and 120 deg., but the phase of the oscillation near 100
degrees and the height near 20 degrees was considerably off.
The feeling one develops is that the standard potentials
being used to fit the data are not quite right.

Initially an attempt was made to fit this deuteron
data using zero volume absorbtion and five of the best sets
of parameters are shown in Figure ”.31. Considerable im-

provement in X2 was achieved by allowing a large volume

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92

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93

absorbtion and reducing the surface absorbtion. The im-
plications of this are unclear. Five of this type of
parameter set are shown in Figure H.32. The order of the

parameters shown is

V RO A0 VSO RSO ASO

WS WD RW AW

No Tensor potential terms were available in our code.

Clearly the deuteron, being so loosely bound, will
interact to some degree with nuclei as two separate particles.
Attempts to handle the deuteron scattering problem in this
way have been made by many authors (Jo 70, Ra 67, Di 65,
Ce 62, Ce 65, Be 65, Si 66). The goal set in this work
was to analyze the accurate deuteron data as carefully as
possible using a well established code which treats the
deuteron as a single entity. Having completed this and
not being completely satisfied with the fits, we feel it
probably is necessary to re-formulate deuteron scattering
theory. Rawitscher (Ra 67) and Testoni (Te 66) discuss
the contribution of the deuteron break-up to the optical
potential. No publicly available codes exist at this time
for performing deuteron elastic scattering calculations
which explicitly account for the loosely bound structure
of the deuteron.

Table 4.31 is a summary of the ten potentials shown

in Figures ”.31 and 4.32.

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95

U.H Total Reaction Cross Section

Total reaction cross sections for the following

seven reactions have been measured in this experiment.

1. l”N(Dm') 75.8 1 11 mb

2. luN(D,T) 1u.8 1 1.2 mb
3. luN(D,3He) 17.5 1 1.3 mb
u. 124N(D,a) 15.0 1 2.u mb
5. 1“N(D,aY)X 193.8 1 6.u mb
6. luN(D,PN) 5M6.3 1 15 mb

7. luN(D,P) U9.6 1 6.0 mb

EX

The seven angular distributions used to

these numbers are shown in Figure U.Ml.

The

< 15 MeV
< 18 MeV
< 8 MeV
< 1“ MeV
> 3 MeV
> 3 MeV

< 10 MeV

calculate

sum of the

above reaction cross sections is approximately 910 mb.

This measured reaction cross section is about 10% lower than

the reaction cross section calculated by Snoopy. As

can be seen in Figures 4.31 and 4.32 the reaction cross

section is about 1 barn, as calculated for all the para-

meter sets. The reaction cross section is not proportional

to the imaginary volume integral.

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96

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For Each Reaction Product

97
2
“.5 Shape of X Space

As a check of probably "goodness" of each parameter
in the potential, cuts were computed in X2 space along
each parameter axis, in order to measure the sensitivity
of the fit to that parameter. Figure “.51 shows the re-
sults for the best parameter set which has WS equal to
zero. Figure “.52 shows results using the best WS > 0
fit.

V has a noticeable flat bottom in the plots of X2
vs. V for both potentials. In the first set WD is "soft"

as are both WD and WS in the second set.

'0. '

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101

 

 

 

 

 

 

 

 

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102
4.6 Recalculation of l6O(p,d)150* (Ex = 6.18)

One of the motivations for the present work was the
result of the analysis by Snelgrove (Sn 69) of the
l6O(p,d)150 reaction. As indicated in the introduction,
the (p,d) reaction cross sections for the principal transi-
tions corresponding to the pick up of a p 1/2 and of a p 3/2
neutron from the 160 target show, in the calculation, a
back angle yield far in excess of the experimental obser-
vation. As was interpreted then (Pr 70, Sn 69) this effect
could be traced to an excessive contribution to the (p,d)
reaction from the nuclear interior. The problem was handled
by using truncation and damping of the nuclear interior. The
interest here was to see if some of the effect could be
explained by inaccuracy of the optical potential used in
the DWBA (p,d) calculation.

Snelgrove's Julie calculations (Sn 69) for the 6.18
MeV state of 150 were repeated using the two best deuteron»
optical parameter sets discussed in Sec. 4.3. The resul—
ting angular distributions are compared to Snelgrove's
result in Figures 4.61 and 4.62. As can be seen the prin-
cipal effect of the calculated cross section not falling
off as rapidly with angle as the data remains, so that we
must conclude that the effect is not attributable to any

distortion effect in the deuteron waves.

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5. INELASTIC SCATTERING AND REACTIONS
5.1 Total Reaction Cross Sections

Total reaction cross sections were computed from the

angular distributions f(e) using the expression:

hf f(e) sin(o) do (5.1)

The integration was done in a simple point by point manner.
The accuracy was checked by integrating f(6)'s known to
be better than 0.5 per cent. This error was computed for a
5 degree step size. The total reaction cross section is
found with the corresponding angular distribution in the
Appendices A and B.

The two functions f(O) and f(180) were taken to be

f(lO) and f(l70) respectively.

105

106

5.2 Inelastic Scattering

Angular distributions of differential cross sections,
reaction cross sections and energies for manwainal states
resulting from a deuteron beam incident on 1”N and 16O are
reported in this work. These final states can be grouped
into those resulting from zero, one, and two particle
transfer. The understanding provided by the simple shell
model configuration for A equal 12 through 16 nuclei will

be explored in relation to this data.
5.21 Inelastic Deuteron Scattering

Inelastic scattering is known to selectively excite
collective states with relatively large cross sections. A
collective state in the shell model is a state whose wave
function is a mixture of many pure shell model wave func-
tions with comparable amplitudes. The more "collective" the
state is, the greater is the number of basis wave functions
which are necessary to express the wave function of the

state. In 160 and 120 the principal example of this type

16

of level is the 3‘ at 6.13 MeV in o and the 2* at 4.44 MeV

in 12C. Angular distribution for the reaction l6O(d,d')
were measured from 15 to 50 degrees. These angular distri-
butions were then integrated to produce the spectrum of
total cross sections shown in Figure 5.21. The 6.13 MeV

(3_,O) state in 16O is excited five times more strongly

.>uz z. >umuzu necem

 

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108

than the 6.916 MeV (2+,o) and the 7.115 (l’,0). The 3'
is excited ten times more strongly than all other states.

In a weak coupling picture one might expect to see
principally states of 1t 2T and 3+,and 2“3'\4‘ in 1”N.
A glance at the spectrum of Figure 5.22 does indeed show
the high level of excitation of such states. Clearly,
these states must be somewhat collective, but since 1“N
is rather well described by the shell model (Tr 63), it
is that picture which will be used in the discussion.
Table 5.21 showing the dominate shell model configurations
and calculated state admixtures for 114N is from True's
article (Tr 63).

Another feature of deuteron inelastic scattering

which is different from proton, 3

He, and triton inelastic
scattering is the fact that only states in the target
nucleus with the same Isospin as the ground state can be
excited if T is to be conserved. The same is true for
inelastic scattering of alpha—particles since both the
deuteron and alpha-particles have Isospin equal to zero
in their lowest energy states. One cannot measure T
directly. It is usually inferred from experiments, such
as the inelastic scattering data described here.

If all the data agree with a consistent set of T
assignments the use of T as a quantum number is Justified.

14

The extent to which the system of nucleons in N is

"1'" 0.0'3 20.13 HEY. TOTRL C8035 SECUON FOR HLL THO STHTES

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lll

correctly characterized by T is reflected by the degree

to which T = 1 states in 11+N are not excited by deuteron
inelastic scattering. No evidence was in fact seen for

the excitation of any well established T = 1 states.

B. G. Harvey (Ha 66) et al report the reaction ll+N(o:,a').
They did not observe any T = 1 states, but their resolution
(300 KeV) was good enough to made any firm T assignments.

1”

The first excited state of N is at 2.313 MeV and has

(J",T) = 0+,l. This state can be described predominantly

l
by a shell model configuration of (p2)2 (see Table 5.21).

1H 2

It differs from the ground state of N in that this (pi)
system could exist for two neutrons as well as for two
protons, and thus cannot have T = 0. Even without the
Isospin forbidden nature of the transition, the cross
section for this state would be expected to be small. Thus
the fact that it is not observed is a poor test of isospin
conservation. A better test is the lack of excitation of

this state in spectrum of the 160(d,a)lu

N. This spec-
trum was measured in this experiment and is shown in
Figure 5.23a. Figure 5.23 is the total cross sections for
the states observed.

The minimum total reaction cross section we could
have measured for the 2.313 MeV state via the (d,d')
reaction, based upon the minimum cross section measured

at each angle, was 10 mb. Since the total uncertainty was

19 ub, we have

112

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19 ub

o 2.311 = 10 ub t 10 ub

This represented the lowest upper limit set for any of the
T = 1 states of 1”N.

The energy and T for each state in 1”N is compared
in Table 5.22, a 1969 compilation of A = 1” energy level
properties (Az 69). On the basis of the present experi-
ment, many levels in 111N are assigned T = 0 as shown in
Table 5.22. The level at 11.2u MeV is reassigned and given
T = 0. Also included in Table 5.22 are the spins and
parities of the levels. Table 5.23 shows dominant cal-
culated shell model configurations (Tr 63).

As seen in Table 5.23 the dominant configuration of
the 1.913 MeV (0‘,0) and the 5.691 MeV (1‘,0') states in
111N is Fist. These two states should have similar angular
distributions. As can be seen from Figure 5.2H the angu-
lar distributions are almost identical and the ratio of
the total cross sections is approximately 1.5:1 (refer
to Figure 5.22 for the total cross sections for all T = 0
states in 1MN).

There are two states at 5.83M MeV (3',0> and 5.105 MeV
(2-,0) whose dominant configurations are both Pid: (Tr 63).
The total cross sections for these states would be expected
to have a ratio of 7:5 in the weak coupling of (1+ x 3-).

In this case we observed 6.”:4.8 which would appear to

confirm the weak coupling picture except that the u" of the

From Present Work

Table 5.22 Energy Levels of

115

1“

N

From (AJ 69)

 

Ex in 1“N 0 Ex in 1“N
MeV T in mb (MeV : KeV) J",T
0 0 1+,0
-- -- * <10 0b 2.31281 : 0.06 0+,1
3.915 0 7.1 1 3.9117 i 1.2 1+,0
4.903 0 2.1 i .4 1.9131 i 2.u 0‘,o
5.105 0 u.7 i .5 5.10587 : 0.18 2‘,0
5.678 0 3.0 i .5 5.691 t 3 1',0
5.834 0 6.3 s .6 5.831 s 3 3',0
6.202 0 1.1 i .3 6.1976 i 2.0 1+,0
6.118 0 .2 i .3 6.0036 i 1.6 3+,o
7.928 0 8.5 e .1 7.028 i 1 2+,0
7.968 0 1.7 i .2 7.966 t 1 2',0
-- -- 8.061 s 2 1‘,1
8.u88 O 8.5 i .3 8.489 t 3 4_,0
_ __ 8.617 s 3 0+.1
__ __ 8.80 i 50 o‘,1
__ __ 8.907 t 3 3',1
8.962 0 2.1 i .2 8.963 i 3 5+,0
Unresolvable 8.979 2 u 2+,(0)

9.138 0 1.0 i .2 9.129 t 2 2',0
__ __ 9.172 s 1.5 2+,1
.9.389 0 2.2 i .2 9.388 t u 2',0
-- -; 9.508 s 3 2‘,1

116

Table 5.22 Continued

 

From Present Work From (A3 69)
Ex in 1”N 1 0 Ex in 114N
MeV T in mb (MeV 1 KeV) J",T
9.701 0 0.8 1 .2 9.702 1 4 1+
10.075 0 2.1 1 .3 10.09 1 10 (1,2)+
10.250 0 0.8 1 2 10.228 1 10 1“),0
__ __ 10.132 1 7 2+,1
10.550 0 0.8 1 2 10.56 1 10 1‘
10.815 0 1.3 1 2 10.81 1 18 4+,0
11.035 0 1.4 1 .3 11.04 1 32 1+,0
Unresolvable 11.05
11.239 0 5.0 1 .5 11.21 1 19 3‘,1
__ __ 11.30 2',0
11.113 0 0.7 1 .3 11.10 1 18 1+,0
11.521 0 0.9 1 .3 11.51 1 30 3+
11.660 0 0.1 1 .3 11.66 1 40 (1+,2‘)
11.753 0 0.1 1 .2 11.75 1+
11.838 0 0.5 1 .2 11.81
11.981 0 0.7 1 .2 11.95 1 30
12.20 0.5 1 .2 12.24
12.32 0.5 1 .2 12.29
12.11 0 0.7 1 .3 12.411 1 6 4“
12.51 0.4 1 .2 12.17 1 10
—— -- 12.503 1 9
12.61 0 0.8 1 .3 12.608 1 7 3+

117

 

Table 5.22 Continued
From Present Work From (A3 69)
Ex in N 0 Ex in 1“N
MeV T in mb (MeV 1 KeV) J",T
12.69 0 0.7 1 .4 12.689 1 4 3'
Unresolvable 12.793 1 6 1+
12.81 0 3.7 1 .5 12.825 1 7 1'
12.853 1 15
12.92 0.5 1 .1 12.912 1 7 1
13.01 0 1.9 1 .5 13.05 1 20 T=O
13.18 0.7 1 .1 13.164 1 8 (0,1)-
13.24 0.5 1 .3 13.23 1 10
13.43 0. 0.9 1 .3 13.3
13.66 1 10 (2,3)+
13.71 1 10
13.75 1 10 1+,1
13.98 0 0.3 1 .1 11.04
11.19 0 1.5 1 .3 14.17
11.17 0 1.2 1 .2 11.10
14.68 0 1.0 1 .2 11.70
14.87 '0.8 1 .2 14.81.

15.

O

118

 

 

 

Table 5.23 Energy levels and dominant configurations for
N1” with vp = Vs,d = 0.3 F'2 and a = 1.6
(Tr 63).
Dominant
J“,T Energy (MeV) configuration(s)
+’0 2'96 p1/231/2
,l .72 pl/22
91 31/2:
10.19 d5/2
_ 20.51 d3/22
0+,1 8.12 pins.”2
’0 0 P1/22
5.51 31/22
9'3” 31/22 + d5/22 + d3/2d5/2
11.11 81/2d3/2
lu'28 d5/22 + S1/2‘13/2 + d3/2d5/2
- 20.16 d3/22
l ,0 1.58 Pl/ZSl/Z
+ 11'78 p1/2d3/2
1 ,1 16.32 51/283,2
17.30 d3/2d5/2
l ,l 6.99 Pl/QSl/Z
+ 12'00 p1/2d3/2
2 ,0 8.71 31/285,2
13'82 d3/2d5/2 + S1/2d5/2 + S1/2‘33/2
_ 15'”5 S1/2d3/2 + d3/285/2
2 ,0 1.50 pl/2d5/2
+ 7'53 p1/2d3/2
2 ,1 9.57 sl/2d5/2
11.95 d5/22
15.59 Sl/2d3/2
16.93 d3/2d5/2
21.38

2
d3/2

Table 5.23 continued

8.99
13.15
6.77
11.10
15.21
18.98
5.28
11.82
17.30
7.13
13.10
11.91
15.51
8.60

119

p1/2d5/2
p1/2d3/2
S1/2d5/2
d 2
5/2
d3/2‘15/2
d 2
3/2
p1/2d5/2
S1/2‘15/2
d3/2d5/2
P1/2d5/2
d3/2d5/2
d 2
5/2
d3/2d5/2
d 2
5/2

120

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III.

 

 

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122

of the group is much too weak. The angular distributions
again are identical as seen in Figure 5.25.

The (1+,0) state at 3.9u5 MeV and the 7.028 (2+,0>
state are as discussed by True, core excitation states pri-
marily. Their angular distribution and strengths are
similar as can be seen in Figure 5.26.

Two states at higher energy are excited very strongly.
These are the 11.2u MeV 2’ and the 12.825 MeV u". The
strong excitation of these two states (Figure 5.22) is
possibly interpretated as weak coupling of the two l+
nucleons to the 9.6” MeV 3- configuration of 12C. These
two states are also strongly excited in the (a,a') reaction
(Ha 66).

The angular distributions of the rest of the states
observed have very little structure and are probably

excited by compound mechanisms. These angular distri-

butions are shown in Figure 5.27 and following.
5.22 One Nucleon Transfer

The one nucleon transfer reactions reported here are
1MN(D,1:)]'3N and ll+N(D,3He)13C. The total reaction cross
sections for the“states observed are shown in Figures
5.28 and 5.29. 13N and 13C are mirror nuclei and hence we
should see a very similar state structure and relative ex-

citation strength. Comparison of the two figures shows

that this is indeed the case.

123

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131

Low lying states observed in these one nucleon pick
up reactions should be made by removal of a P; particle
and hence should be negative parity states. These states
l/2_, 3/2- can be seen as strongly excited. However weak
1/2+ and 5/2+ states can also be seen. These could be
formed in a firect pick up reaction if the ground state of

14 l 5 B
N has some admixture of 2s - ld shell (232, dz,d2) to

the dominant suplo configuration. These positive parity
states could also be excited through the formation of a
compound nucleus (160), and this process probably contri-
butes to the cross section at these energies. As they are
observed here, it is clear from their angular distribution
(Figure5,210) that a considerable contribution from direct
process is involved, thus indicating the presence of higher
shell admixture. This agrees with previously reported results
on the luN(p,d)l3N reaction (Ko 67) where spectroscopic
factors for the reaction were extracted.

Of the five dominant transitions to negative parity
states only three are observed (1/2-, 3/2-, 5/2-). The
other two, l/2- and 3/2- are at a higher excitation energy,
8.93 and 11.80 MeV respectively (Ko 67).

The other one particle transfer reactions possible are
(d,p) and (d,n) stripping. Neutrons were not detected in this
experiment. The only data extracted for the (d,p) reaction

was the total reaction cross section angular distribution

 

132

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and the total cross sections since very good spectroscopic
information is already available from high resolution (d,p)

work.
5.23 Two Particle Pick Up

The (d,a) reaction is the only two particle pick up
reaction present in this data. Figure 5.211 shows the total
cross section for the first ten states of 12C. The ground
state 0+ is formed by picking up the 2P- nucleons. The
strongly excited 2+ at M.” MeV results from picking up two
nucleons from the P- shell. The angular distributions for
each of the states excited by this reaction are shown in

12C is above

Figure 5.211. Since the lowest T = 1 state in
15 MeV, the isospin selection rule does not inhibit any

state in the range of energy where data was measured.

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6. CONCLUSION

We have found that a wide range of optical potentials
will give essentially the same quality fit to the deuteron
elastic scattering at 20 MeV. The best fit required a large
imaginary volume term with a reduced imaginary surface term.
The average value of CHI-SQUARED achieved by this set of para-
meters is larger than what is generally obtained for highly
accurate and complete proton elastic scattering data. This
reflects in part the high accuracy of the experimental data,
and demonstrates the difficulties in the optical model
representation of elastic scattering as applied in this in-
vestigation. Nevertheless the agreement is remarkable in
view of the simplicity of the model.

The extensive deuteron inelastic data allowed the "
assignment of isospin for many of the highly excited states

luN. The other reactions measured contributed primarily

in
to the measurement of the total reaction cross section.

The inelastic scattering also provided confirmation of
theoretical descriptions of the levels of 1“N. Similar
investigations performed systematically on other nuclei should
reveal a more complete picture of the complex phenomena of

nuclear interactions.

1147

APPENDICES

APPENDIX A

Tabulation of Differential Cross Sections and

Total Reaction Cross Sections at 20.13 MeV

l”N Target
Page
ll*N(c1,d)l”N elastic 150
in , 1n . _

N(d,d ) N* Inelastic T - 0 EX < 1n.5 MeV 151
luN(d,d')luN* Inelastic T = 1 195
1L‘N(d,d') Total Reaction Cross Section
luN(d,t)l3N EX < 8 MeV 196
l”N(dfi) Total Reaction Cross Section
lL‘N(c1,3He)l3c EX < 8 MeV 205
11+N(d,3He) Total Reaction Cross Section
l”N(d,”He)lzc EX < 13 MeV 21h
ll+N(d,‘4He) Total Reaction Cross Section
ll“N(<1,”He + X)Y EX > 2.5 MeV 225
l”N(d,p)lSN EX < 10 MeV
1L‘LN(d,pn)Y E > 2.5 MeV

1U8

149

The following pages contain listings of angular dis-
tributions, reaction cross sections, and total reaction
cross sections for all the processes recorded with 1”N
as the target. Each page has as a function of center—of—
mass angle, the center-of-mass differential cross section
in mb/sr, and the total error in mb/sr. The lab differ-
ential cross section and error are on the reverse side
of the page, listed as a function of lab angle. The ex-
.citation energy of the state and error in MeV, spin, par-
ity, isotopic spin, reaction cross section and error in
mb appear with each angular distribution. The reaction

cross section was computed from the angular distribution

using

Geo

= 2n j) f(e)sin6 d8 (see Sec. H.U)
0

The excitation energies and errors are computed separately
on the basis of angles forward of 90°, backward from 90°,

and all angles.

APPENDIX A . l

MN(d.d)

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80.8088.8 00+8088.8 88.888 80-0888.fi 80.8000.“ 88.88
80.8888.8 00+8888.8 88.888 80-8088.8 00.8808.8 88.88
80.8888.8 00.8888.8 88.808 80-8.88.8 00+888m.8 88.88
80.8880.H 00+mmmm.8 88.808 80.8888.8 00+8888.8 88.08
80.8008.8 00+8888.8 88.008 80.8888." 00+8888.8 88.88
“0.8880.H 00+8008.8 88.88 80.0888.8 H0+m888.8 88.88
mocmo8w.8 00+mmmfi.8 88.88 80-8880.8 80+mmfim.8 88.8w
80.8080.H 00+mmfid.8 88.88 00+8888.H 80+8808.8 88.88
80.8880.H 00+8888.8 88.8w H0+8880.fi 80+m88m.m 88.88
80.88Hm.8 00+8888.8 88.08 00+8888.q 80.8088.8 88.88
80.888m.fi 00+888H.8 88.88 80+8888.8 80+m880.8 88.88
80.8808.“ «0+8880.H 88.88 80+mmm8.8 80+88mm.fi 88.88
80.8888.H 80+888H.H 88.08 Ho+8888.8 80+8888.8 88.88
“0.8808.H 80+888m.fi 88.88 Ho+888m.m 80+8888.m 88.HH
“0.8888.“ 80.8888.“ 88.88 80+8888.8 80+m808.m 88.8
80.8888.“ 80.8888.H 88.88 80.8888.8 80.8808.8 00.0
88888 8882H088 «880088 88888 88828088 «88H088
888.8 . 880.0 + 880.0 + 888.8 . 188288 2808880882H - 8888880 2H 88024 84-
m0+M88m.o .+ mo+wmam.d . zmHhumm 88880 78H8u<mu 28488 amxpx 2H 2888088 mmmuu 0<H8zmmmuan

88882< 888 8000.0 .+8000.0. . >88828 80888><
08 a (8818 8000.0 .+8000.0. . 888828 80888>8
08 v (8888 8000.0 .88000.0 . 888828 08<nm><
+8 8 0 H0880H 0

I!

8 xm .>82 88.08 “0.0.887

o
o
J
0
II

APPENDIX A . 2

14

luN(d,d') N* EX < 15 MeV

80-8088.8 80-88 .m 08.88
_.888 .8 0.8808.8 08.088 80-8888.8 80- -888.. m 08.08
80.8888. 8 80-8808.8 08.888 88 .888.8 80-8888. 8 80.88
-0.8888.8 0-8888.8 88.888 80-8808.o 80-8888.8 88.88
80.8888.8 80.8888.8 88.888 80-8888.8 80-8888.8 08.88
80.8888.H 80.8888.8 88.888 80--888.8 80-8888.8 88.88
80.8888.H 80.8088.8 88.888 no-.888.8 0-8088.8 88.88
80-8888.8 80.8888.8 88.888 80-8888.8 0-8888.8 88.08
80.8888.fi 80.8888.8 88.888 80-8888.8 80-8888 .8 88.88
80-888H.H 80.8808.8 88.888 80-8888.8 80-880,.8 88.88
80-8888.8 80-8888.m 88.888 00-8888.8 00+888 .8 88.88
80.8888.fi 80.8888.8 88.088 80-8888.8 00+8080.H 88.08
88.8H8m.fi 80.8888.8 08.888 80-8888.8 00+8880.H 80.88
80.888m.8 80.8000.8 08.888 80-8888.8 00+8888.H 88.88
80.8888.H 80.88Hm.8 80.888 80-88 8.8 00 .888.8 88.88
fl, monmo:w.H Houm¢m0.m :m.oHH mOIvmmr.v 00+m:om.a no.8m
1 80-8800.8 80.8088.8 88.808 80-8888.8 00+8888.H 8 .88
80.8888.8 80.8888.8 08.808 80-8888.8 00+8808.H 80.08
80.8888. 8 80.8888.8 88.88 80-8888.8 00+8808.H 88.88
88.8808. 8 80.8888.8 88.88 80-8888.a 00+8¢88.H 88.88
80.8888. 8 80.8888.8 08.08 80-8880.8 00+88H8.8 8 .88
80.8888.8 80.8088.8 88.88 80-8888.8 00+8888.H 88.08
80.8888.8 80.8808.m 80.88 80-8888.H 00+8888.8 88.88
80-8888.8 H08888.8 08.88 80-8888.8 00+8888.8 88.88
88.8888.H 80.8888.8 88.88 80.8880.8 00+8888.8 88.88
80.8808.8 80.8888.8 88.88 80-8888.8 00+8888.8 88.88
80-8088.8 80.8888.8 08. 08 80-8888.8 00+8¢88.8 00.0

«exam wk<7H08r «mm um omzum 8847H0rm <mmhum<

888.8 u 880.0 + 808.0 + 888.8 8 188288 20888808828 8888880 28 88824 ,882 88 .8828
00+8888.0 .+ 00+8080.8 n 2888888 88080 28880888 2800 80882 28 2888088 880 80 88882888888

mm402< JJ< 0000.0 I+Hm:m.m u >0mm2m m0<wm>q
cm A (bulb hooooo l+mm:m.m n >0Um2m mo<wm><
om v (hulk 0000.0 a+0m¢m.m a >ommzm mo<8m><
+8» 8 808n08 0H8 888.8 u X8 .>8: 88.08 2.0.0088

80-8880.8 80-8888.8 88.88
80-8888.8 80.888 00.088 80-8880.8 80-8888.8 88. H8
80.8888.8 80.8888.8 88.888 80-8800.8 80-8888.8 88.88
80-888H.8 80.8088.8 88.888 80-8883.8 80 8888.8 88.88
80-8888.8 80.8888.8 88.888 80-8888.8 80-8888.8 88.88
80.8888.H 80-8888.8 88.888 80-8888.8 0-8088.8 88.88
80.8888.8 80.8808.8 88.888 80-8088.8 80- .8888.8 88.88
88.8880.H 80.8888.8 88.888 88-8880.8 80-8880.8 88. 88
80.8880.H 80.8c88.8 88.888 80-8888.8 80-8888.8 88.08
80.8888.8 80.88HH.8 88.880 80-8880.8 00+808H.8 88.88
80.8888.8 H0.8888; 8.888 80-8888.8 00+8888.H 88.88
80-8888.8 80.8888. 88.888 80.8808.8 00+8¢88.H 88.88
80-8888.8 H0.88808 88.888 80-8888.8 00+8888.8 88.88
80.8888.H 00.8888.8 .8.808 80-8888.8 00+888¢.H 88.88
80.8888.8 80.8888.8 88.808 80-8888.8 00+8888.8 88.08
80.8808.8 00-8888.8 88.008 80-8888.8 00+8888.8 88.88
80.8888.8 «0.8888.8 88.88 80-8888.8 00+8888.H 88.88
80.8888.H 80.8888.8 88.88 80-8888.8 00+808 .8 88.88
80.8808.H 00.8888.8 88.88 80.8888.8 00+8888.H 88.88
0.8888.8 80.8808.8 88.88 80-8888.H 00+8888.8 88.88
80.888¢.8 80.8888.8 88.08 80-8888.8 00+8088.H 88.88
80.8880.8 80.8888.8 88.88 80-8888.8 00+8088.H 88.88
80-8808.8 80-8880.8 88.88 80-8880.8 00+8088.H 88.88
80.8088.8 80.8888.8 88.08 80-888n.8 00+88H8.8 88.88
80.8808.8 80.88 .8 88.88 80-8880.8 00+8888.8 88.88
80.8888.8 80.88H U8. 8 8.88 H0 8888. 8 00+8088.8 88.8
80.8880.8 00-8888. 8 88.88 80 8888. 8 00+8088.8 00.0
88888 88820008 «8800. 88008 88870088 8888088
888.8 a 880.0 + 880.0 + 888.8 u 180288 20884808828 8888088 70 8802< 8<.
00+8888.0 .+ 00+8880.8 . 2808088 88080 28080480 28880 88882 28 2808088 88880 88082828808“

88.0072 .j< 8000.0 £288.88 8 0208828 80,888:
08 A <88: 8000.0 18888.8 u 02888.28 808.88:
08 v «88:» 8000.0 .+8888.8 888828 80888><
+8» 0 808u0H 0”» 888.8 8 X8 .>8x 88.08 2.0.0088?

amhw

mnuuwm¢.a Hm-umo¢.fi Hc.mm
u-mmon.m ao.mmom.fi oo.omfl ao-man:.w Ho-mm¢¢.fi fio.nm
mo.mmon.m fio-mmom.fi om.HKH mo-mo¢m.fl an-mmmm.fl mm.nw
mo-momm.m fio.moom.fl mm.mofi no-uwmq.fl Ho-mm¢fi.fi mo.¢w
mo-m:m¢.m Ho.momm.fi m¢.fiflfi mc-pmm~.fl Ho-mficd.fi mn.oc
mo.mmmm.H Ho.mmom.H 0:. ma mo-mnmw.a mo-mmma.m @¢.nm
mc.mmmm.fl Ho.moom.fl ¢H.mmfl wo-mgm¢.e H0-mmmn.fi mH.¢m
oummmm.fl Ho.mmnn.fi mm.m¢d mn-mvmfi.u fio-maum.fi «n.0n
mo.mofim.fl Ho.M@mm.fl Hm.¢¢fl mo-wfima.fi Hm-m:fij.fi «m.m¢
monmmqo.fi Heumfimm.fi mfi.o¢fi mu-uw¢m.fi Houwfimo.a mm.m¢
mo.momfi.fi Ho.mnfim.fi m¢.mmfi mo-mmom.w Ho-m¢om.a mm.n:
mo.mmnm.m mo.mfimo.w wH.HmH mo-moo¢.fi Ho-mficm.fi nm.m¢
mo.mm:fi.a mo.mmmm.m Ho. m“ nmuuc¢a.fi Hm-mfimm.a mm.wm
mo-mmoo.~ mo.mfino.m mm.mfifl no-Ummfl.H o--o¢m.fi ¢fi.nm
mo.momo.fl mo.mmmo.o :¢.¢fifl mo-¢.wfl.fi Ho-mcum.fi mm.mm
%, mo.mwofi.a mo.mmoo.u m.ofifi mo-m:m¢.fi mo-wxaa.m mw.¢m
1 mo-momm.fi mo.mHmm.o an.o\fi ma-m:mo.¢ Hm-mnxo.fi :m.mm
mo.mmfifi.fi mo.m¢ofi.m om.mofi mo-ua¢n.n Ho-mem.fi Jm.gm
mo.wmofi.d Ho.mooo.fi mm.mm wo-wuea.: Hm- mmm.m mm.mm
mo-mmmm.H mo.mmmo mm.¢m mo-M+mm.m an-mm¢m.m mo.mw
mo.mo:m.fi mo-m¢mo.m m¢.om Ho-mmm_.fl Ho-mmmu.m nm.mm
mo-mmwfi.fi Ho.momfi.fl mm.mm fio-ug¢u.fi Ho-mmfld.m nm.om
mo.mmflm.d Ho.umo¢.a mm.mm Ho-umow.a Ho-momm.m mo.wH
mo.m¢oo.m Ho.mmmo.fl mm.oq flo-¢amfi.m oo+m¢fim.fi mm.ofi
mo.mamfl.fl Ho.moom.fi mo.mn Ho-qum.m oo+mmm¢.fi mm.mH
mo.wwoo.d Ho.mn¢m.H :m.mn fio-anfi.m oo+m¢mm.fi mo.fifi
mo.mmn¢.fi “o.mme¢.fi H¢.om fio-u¢mfl.m oo+mcmm.fl 00.0
nommm m»«zHamm «mm um “mung mk<7Hgmo «mmHum4
m¢fl.m u mno.o + moH.o + nmm.m u IPmZMJ zmHF<mOMF7H wqummm 2H MJm7q mm<L no lukzmn
oo+mowm.o .+ oo+mmmfi.m u zmfihumm mmmmu zaHpu<wa A>uv nuxwz xH ,mHkumw mmmmu 4<Hkyfixmuan
mm402< 44< mfioo.o .+omom.¢ a >mmm7m mo¢um><
on A «Fax» mfioo.o .+ooom.: u >mmmzm mu<xm>q
om v <FMI» maoo.o u+Hfiom.¢ » >mmmzm mo<um><
.0» a :omumH an» mam.¢ n xu .>mr mH.om A.n~av¢H7

‘41

oo+momm.o . zmwkumm

U-mmmm.fi
mu.wmnm.fi
mo-mmow.fl

o.mm¢n.fl
mo.m¢fim.fi
mo.mmoo.H
mo-mmmm.m
mo.m¢mm.m
mo.mwmo.m
mo.mmnm.w
mo.moom.u
mo.momm.m
moummfim.m
mo.mnom.m
mo.mfimo.fi
mo-mmmm.fi
mo.mmno.fi
mo.momo.H
mo.mofi¢.fl
mo.mooo.a
mo.m¢om.fl
mo-m:¢o.fi
monmoom.m
mo.mmmm.fi

o.mumm.fi
mo.moon.fi
«mamm

m¢fi.m u mmo.o + nmo.o + nom.m u Ipmme
.+ oo+mmma.m
44< mfioo.o .+omom.: .
om A (kmxp mmoo.o .+mmom.¢ n
om v «me» ¢fioo.o .+n«om.¢ u

>mmm2m
>mmm2m

Ho.mmmm.fl
fio.mmmm.fi
flo.momm.fi
do.mmnm.a
Ho.mmmm.H
Ho.mmmm.fi
do.m¢fim.fi
Ho.mmwm.fi
oummoo.H
mo.mo¢o.m
mo.mmoo.n
mo.moun.n
mo.mnfim.o
o.mom:.m
mo.mofio.n
mo-mowm.m
mo.mmom.m
mo.monm.m
mo.mmmm.m
mo-mom¢.m
Ho-m¢mm.fi
Ho.mmwm.H
do.m0¢m.fi
fio.mmwo.fi
Ho.mmmm.fi
Ho.mmm¢.fi
mh<zHQum

\J
Ir\u

oo.omfi
om.mofi
om.moH
mm.mmfi
om.mnH
om.n¢fi
om.m¢H
om.mmfi
cm.mmfi
cm.nma
om.mmH
om.mHH
om.mofi
cm.¢oH
m.oofi
om.om
om.mm
om.mx
om.¢m
om.ox
ow.cn
om.mn
om.on
om.mo
cm.¢o
om.fio
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7mHF<mmmsz
mwmwu 7mHFu<mu
mo<am><
mo<xm><
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Am<4v

aOIMJLMoH
Hocmmww.fi
Ho-mmm:.a
Hoummwm.a
amumfiu¢.a
Houmofim.fl
Hmum©:m.a
oummfin.m
Honmmm .H

fio-m¢fifi.m

o-mmwu.a
Ho--omo.m
m.H
0.H
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m.H
Ho-umm¢.fl
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Hm-m¢fim.m
flo-mm¢w m
Haummon.m
fio-m¢om.o
oo+m¢mH.H
oo+momo.fl
oo+m:m0.m
oo+mnmn.a
oo+mmmn.fi
wquHmmm

mmmmwmu

«m.m:
mm.o¢
cm.m:
mm.0¢
cm.mm
mm.¢m
mm.:m
mm.mm
4m.fim
om.um
mm.mm
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mm.fim
mm.ma
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cm.mfi
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no.0
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2H m402< 34

gmHkumm mm¢mu 4<szmmmuu_

amnuuon.fi
mou¢uom.fi
muuu¢m¢.fi
wuummmm.fi
amounma.H
mmlm00¢ofi
manhoofi.m
amnuumw.m
musmrmm.m
woumgmm.m
moaux¢¢.m
um-mo¢u.fi
nonhumw.fi
monum m.fi
munmmmm.fi
mmlmb¢moa
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mo-mmm¢.¢
Ho-w¢mfi.fi
fioumonm.fi
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WU;\U..2 7.9
mam.¢ u xm

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A.Q~OV¢A

.0.mmmm.m H0-00mn.¢ 00.
on-0mmm.m “0.00~m.¢ 50.
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0.0mxm.m “0.00mm.¢ 00.
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00 0000.0 “0-0000.m 00.
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01.000 .H H0-0¢no.m 00.
00.00Hm.d 00.0m0m.m “a.
m0.m~0¢.fl H0-0o0m.m ¢N.
m0-mmom.fi 00.0mnm.fi .0.
00.0m00.fi H0.mm0¢.m my.
m0-mmo¢.fl H0.wmmn.fi Hm.
m0.mmmo.fi fl0-ufiwm.fi H0.
m0.mfln¢.a H0-mm0¢.fl 00.
m0.m¢¢0.fi H0-0nfim.m mm.
m0.m¢¢¢.fi 00-0omm.m .0.
m” 00.0000.“ 00-0H0H.m mm.
1 m0.mmmn.fi flo.mn0fi.m 00.
m0-mflno.m H0-mmem.m mm.
0-mmmo.fi fl0-0¢m0.m mm.
m0.mmfim.fl 00-0mmw.m 0..
m0.m~mm.m 0.0000.m 0m.
0.0mm¢.fi H0.mmfin.m ma.
0-Mamo.m H0.0:00 00.
m0.mwmm.fl H0.mfimm.m 00.
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m:fi.m a mno.0 + 000.0 + mom.m u I00700 20HF<¢0MFXH
00+mfin¢.0 .+ 00+mfi0n.¢ n zmHkumm 00000 zmHkuqmm
0040z< 444 5000.0 .+0m0H.m u >0amzm 00<n0><
00 A «~01» mfi00.0 -+moofi.m u >0mmzm mo<mm>q
00 v «me» 0000.0 -+mmofi.m u >0mmzm 00<~0>4
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qamfizm.m
Houmfimm.m
floummmm.m
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00-0000.0 0-0000.m 00.00
00.0000.0 00.0000.m 00.000 00-0000.0 0-0000.m 00.00
00.0000.0 00-0000.m 00.000 00-0000.0 00-000¢.m 00.00
00-0000.0 00-0000.m 00.000 00.0000.0 00-0000.m 00.00
00.0000.0 00-0000.0 00.000 00-0000.0 00-0000.m 00.00
00.0000.0 00.0000.m 00.000 00-0000.0 00-0000.0 00.00
00.0000.0 00-0nmm.m 00.000 00--0m0.m 00-00¢m.¢ 00.00
00.0000.0 00-0000.0 00.000 00-0000.0 00-00¢m.0 00.00
00.0000.0 00.0000.0 00.000 00-0000.0 0-0000.0 00.00
00.0000.0 00.0000.0 00.000 m0-0000.m 00-0000.0 00.00
00.0000.0 00.0000.0 00.000 m0-0000.0 00+0000.0 00.00
00.0000.0 00.0000.0 00.000 00-00nm.0 00+0000.0 00.00
00-000m.0 00-0000.0 00.000 00-0000.m 00+0000.0 00.00
00-0000.0 00.0000.0 00.000 00-00mm.0 00+0000.0 00.00
00.0000.0 00.0000.0 00.00 00.0000.m 0+0000.0 00.00
00.0000.0 00.000m.0 00..00 00-0000.0 00+0000.0 00.00
00.0000.0 0.0000.0 0.00 a0-0000.0 00+0000.0 00.00
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00.0000.0 00.0000.0 00.00 00-0000.m 00-0000.0 00.00
00.0000.m 00.0000. 00.00 00-0000.0 00+0000.0 00.00
0.0000.0 0.0000.0 00.00 00-00 0.0 00+0000.0 00.00
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000.0 . 000.0 + 000.0 + 000.0 a 100200 2000<000020 0000000 70 00024 00
00+00n:.0 u+ oo+0000.¢ n 2000000 00000 20000400 00400 00\02 20 0000000 00000 00002000000
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u omL.o + nmo.o + mm:.m u 7mHF<mumsz mmm nLLn n44 m4
oo+modm.o I+ Houmama.m n 7LHFULm mmmau zmHku<mu ALLJV wm\a; 2H zLHFULm mmcou JLHFzLxLLuH

mm402< 444 mmoo.o I+mmno.¢fl « >mxm2m moqum><
om A <FLI» mooo.o I+meL.LL . >mam7m mo<am><
om v (FLIP mmoo.o I+mmno.¢fi u >mmmzm mmqwm>q
u d oom :H n

I!
I
II

F on.:H u xm .>mx mfi.0m L.Q 0V3H

mu-LLLo.m Ho-mLmL.H mo.n¢

mo.mLHm.m mo.mLLL.L ou.omfi mL-LLLL.m Lo-LLmL.H no.NL
mOILLLm.m mo-mLLL.L Ln.nm um-mwmfi.m Ho-meL.H LL.LL
mo-mmom.L mo-mmmm.m 0L.Lm an-LLma.m an-momfi.fi LH.mL
mo.LLHH.L mo.LLmL.H om.fim -L-LLHL.m LL-LL«L.L mL.HL
mo.mmmL.L mo.mmom.m Ln.nw mm-mmoo.m L0-LLLL.L mL.LL
mo.anL.w o-Lme.m LL.LL mu-LoHL.L Lm-mmmn.m LL.nm
mo.momm.H mo-mLmL.m mn.om ma-uwflm.L Ho-mmmm.fi mm.Lm
mo.monm.m mo.mmLL.m om.~n mo-uuLL.m a-mLLL.m Lm.mm
mo.mLLL.L mo-LLmo.m mm.mn mm-LLon.m Ho-mnmm.fi LL.mm

qJ mo-LLLm.fi mo.mmmo.n am.mL mL-LLoo.L Ho-LLLL.m mfi.mm

m, mo.Lan.L Ho.momo.fi mm.LL mm-mmoo.L HU.LLL .m mL.Lm
mo.mmLm.H Lo.LLLm.H n:.mL mo-mrmm.n L0-Lme.fi Ln.flm
mo-momm.m Hoqumo.m AL.mm LOILLHQ.L HOImmLL.m mo.mH
mo.mLmL.m Ho.LmLm.m mm.LL LL-LULu.H Ho-moLL.m mm.LH
-o.mmmo.m o-mmmm.m Lm.om HU-LLQL.H Ho-mmmo.m 0L.mfi
mo-mmfio.m do.mmmm.fi NL.~L L0-LLOL.H Ho-mmmn.m 00.0
amamm mh<z~oum (mmHum owzum QHLIHQmm «mmHumq

mLfi.m . man.o + mLH.o + mom.m » Ipoxm4 7LHLLLOLF2H mmwuoLq A LJLYL LLLL LL zLHZL

oo+mofim.o -+ do.mLoo.m u zmHhumm mmomu 7LHFu<Lu Ayuv wm\mL [H LLHFULL mmLLu JLHFLLLLLLH

mw402< 44< wfloo.o .+LmLm.LH n >mgmzm LLLLL><
am A (bulb Ludo.o -+mmLm.LL a >mzmzm mmqwm><
om v <FLI» Lfloo.o .+mmLm.LH u >nzmzm mo<mm><
u w HLmugH an» LL.LH L XL .>m: mH.om “.m‘ovLH

umkm

mUImLm¢.m LUImmmfi. m Lm.m¢
LOILOLL.A LoILHLm.m Jo.omfi qumLmd.m LOImaxfi. m Lm.m
LUILOLH.A LoImHLm.n Lo mcfi noILumn.L LQILLLL. m Lm.oL
LOILmLm.L LoILmLH.m Lo.LoL muImLoq.m HoILLLL.m Lm.mm
LoImem.m LoILmfim.m Lm.ooL LUILLmL.m HoImomm.m Lm.Lm
LOImen.w LoILLLn.m Lm.Lm LoILLLH.m LOI mem.m Lm.Lm
LOImen.L LoImmLL.n Lm.mm moILoLm.m HOILLLL.m Lm.wm
OImmLH.m LoImmmo.m Lm.mm LUImmmw.L HnImLLL.H Lm.flm
LOImmLL.n LoILmnm.m Lm.LL LOILsLL.m HILLLL.m Lm.QI
LOILme.m LoImmLL.m Lm.OL mUILfimL.L ,IILLL.m Lw.mm
mOImnmm.m mquLLm.L Lm.Ln moILLL«.L LOImInn.m Lm.nm
mOImfimm.L moImmmm.L Lm.mn mo-mmmm.n HnImsmI.m Lm.nm
mo.momm.n moImoom.fi Lm.om LoImLfim.L HOILLLL.m Lm.mm
mOImmo:.L moImHmm.m om.mo mOImmmL.L HOImmL:.m Lm.Hm
NOImmmo.H mo-mmmm.m LL.LL «OILLfim.n HUImmRL.L Lm.mH
moumomw.H mouufimm.m Lm.HL moImmmu.n LOImmwm.m Lm.mfl
moumomfi.a monwaw:.m Omowm aolmu:¢.fi HDImfi¢w.m mmowa
NOImmmo.m moImmLH.m Lw.mm LUILLLL.H HOILLLL.L Lm.ma
mUImnHm.m HoILLHo.H LL .mL LUImme.m OILLLL.L Lm.HH
NOImomL.m HoILHmL.H Lm.mL LoILmLm.m HoIanL.m Lm.m
moum¢oo.m Hoummwo.m Lm.L¢ HmImmLm.m arImamI.m no.0
«mamm mk<7ngL «LLHULL LLQLL LF<7HI «mmHumL
NJHom u omoo O + hmO. O + mm om n IFOYmJ 7®HF<mDmFZH mmwawmm 2H LQJ;< m<
oo+mmom. o I+ «OI Imomo. w u ¢7mHFULm mmmau 70Hku<mu ALLJV xmxml 7H ,Lfikumm mamau JLHPLLxLLLH

mm402< 44< :aoo.o I+moow.:H u >mxmzm mw<wm><
am A «Fur» wfioo.o I+Lmnm.LL n >ommzm mo<mm>q
om v <Fmr» mHOOIO I+mm Lw. La >mmm7m mo<um><
n W meuQH

C.)

u» :m.:H u xm .>m1 mH.Om “.m‘ov¢a

H0ImmmL.m 0+mfi0m.m 00.0LH

0Imm0L.m 00+mfi0L.m Lm.mLfi

H0IL0LL.m 00+mmmm.m Lw.nmfi

H0Im0m0.: 00+mmLL.m La.mLH

H0Imm¢0.m 00+Lm IL.ILH

HLIL00¢.m 00+mmn0.m Lm.mLH

fioImen.m 00+0LLR.m Lm.nmfi

fioILLLH.m 00+LLLL - Lm.mmfi

HoImmmm.m 00+mmmm.m Lm.mmfi

HonLm:.m oo+mm¢m.m Lm.mmfi

onmwmfi.m oo+womo.m Lm.nfifl

H0Immmm.m 00+mmmo .m L0.L0L

HOImmmo.: o+mmwo.m Lm.LOH

.4 LoImm0L.¢ 00+mL00.m Lm.00L

m, HoILan.L 00Immm0.m L0.Lm

«LILNLL.L 00ILLLm.m L0.m0

H0Im0¢fi.m 00+Lmfim.m Lm.wm

0ILN0H.L 00+med.¢ LL.LL

H0IL0LL.L 00+LLRI. LL.0L

HoImonm.L 00+Lmn-.m L0.L~

0ImLLL.u 00+m m:. L Lm.mn

HonmmmmIm 00+ 0000. L om.om

HoIman.n 00+mmHL.L L0.NL

H0ILLLm.L 00+meL.L LL.LL

00+mmm0.H 00+L~L0.L Lm.HL

LLLUL wk<7H0II 4mm 0L
NLH.m I 0L“.0 I nmo.0 I L00.m I Iposz zLHFLLLMFzH
m0+mnmfl.0 II “0ILLLL.N I zmHhumm mmLmu LLHFULLL
mm401< JL< 0000.0 I+0000.0 I >Lxmzm LLLLL>4
cm A (FLIP 0000.0 I+0000.o I >mezm mo<wm><
00 v (FLIP 0000.0 I+0000.0 I >0zmzm m0<am>4

mZQU mFDm
m

u(
H

( I ( '
C.) k.)

fin-

(C

7
".

_)
j

I\.l\

)

.IJ

C
(

(
C

(
C.

I,(:)
1-++ +.++.+.,+ ++»+ +

r‘

r4 r4I—4c—4 (} (W (_W ('3 C)
G" C‘ C) (T1 C) ’3 C7 C) C C) C) C.)

0‘

" '7
I
H

+4-4-++I

0t LAJ li‘

Uf JG.

+
. .

l
(1
in C)!“ M) £0
C?
o

.11 LU
J} 0'
0

Lil u' LA.
\. u» UV
.

I
\

P‘N'HCJHQI
O O

I I I .

+
mlnham
O

1\
UN (7(X‘ if f\

.
c—ifl‘HHT—‘fiHQ—ic—‘IU'HI—i

U" (U 11’ C‘ H U”:
O O
’ (K- P" 0. n. (U

m‘#(hvafl)¢LD

(X

g‘D\ (Y) gfl (I v—4 I'\ (.IV.‘ I.“
I

C

0
(VI

. h; 'u' (Ll LLI L1.

zmeum

{uaI

I
J

()fo
(UNEWNN
0.0..

C)
F)
+
l O
r4Hc4r4Hc4r4fi.4r4Hc4r4Hc4wzou)hr\()O

{L (\i \" '\ ’\

l LLI u) [LI [1] u
o

‘1 (V) In (K: (V! f\ (x.-
o o

(
+
.L
Ln 0":

H0+m¢mm.
H0ILNNN.
H0+mm:m.
fi0+mLLL.
Hn+mxmm.
H0+MLmL.
fi0+mmmn.
HOIMme.
LLILLNL.
HOIMLmL.
Ho+m¢mm.
o+woom .m
Ho+mnmL.m
L0IMNLL.H
Hn+mmLL.H
mp<2Hmmm

Omhm

0. HL
«OLHC
Lm.m
mm.mn
LmINm
Lm.m¢
Lm.L:
Lm.m¢
Lm.0¢
Lm.nm
Lm.Im
Lm.mm
Lm.Hm
Lm.0m
«m.mm
Lm.nm
Lm.m
Lm.mm
LmIfim
mm.mfi
LmINa
Lm.LH
LmIMH
Lm.fifi
0m. 0
00.0
4mmHum

mmmmu JqHFzmawuan

mH.om

X

)WU UHHWLQJL».

xmehhqum FHJm mmsjquxm

AH J<FOH
A.ngv:fi/

APPENDIX A . 3

1”N(d,d')1L‘N T = 1

195

m¢H.m . :no.o + ooH.o + nom.m u :Hmme

oo+mmmm.o
mmgoz< JJ< mmoo.o
om A (Pulp mooo.o
om v (Hulk mmoo.o

a+ moummoH.m

moummmo.o :oumoom.o om.omH
moummmo.o :oomoom.e Hm.HnH
mouwomm.m :oummom.m nm.moH
moumomm.m moummwm.H 0m.HoH
moumo¢m.: moummmo.m Hn.mmH
mo.m¢mm.¢ moummmm.H m@.;LH
mo-mHmm.m :oumomm.¢ mm.3¢H
mo-mmmn.m moummmH.H <0 .m:H
moummmc.m ¢Ocmmmm.: mq. omH
moum:mm.m :oumomm.m mm.¢mH
mo.mmom.¢ moumm¢n.H m¢.omH
mouwumH.n mo-mzmo.m mm.mmH
moumomm.m :onmmmm.x m¢.nHH
moomHmm.c o mHmH.m mm.mHH
moummmm.u moanmo.H mm.mo
moumnoH.H mo: mmoo.¢ 3m.moH
o.m¢om.¢ :o.mmwc.n mm.HoH
moum¢w¢.n :oummoo.m mm.nm
mo.mm:m.n so.mm¢o.m mm.mm
mouwonm.H :oummmm. m mm.mm
moumHmo.n moummmm.o oc.mm
mo-mmmm.o :oam¢mm.m mm.mm
moummnm.m :oumHoo.m H:.mn
onmm3m.n :o-mmmm. m mm.on
monmmmm.m :oummmH. m oo.mn
mo.mmmo.m moumn¢o.¢ 3m.mc
ammmm mh<2HQmm «mmHu
7mHF<mmmh7H
u zmeumm mmmwu zmHhuqmw
.+mem.m u >mwmzm mo<vw><
.+mmfim.m a >mmmzm mo<gw>q
c+nHmm.m u >omm2m mo<nm>< zq <mm<
+0» fl mo ,

y¢m1
Ha»

(V
')
\
‘1
:2 U)

7mmgku
mHm.

') C) (I)
I I

4'
t-
I

(Y? (7! ('7 (Y)

m

C] (1' ('1' (Y. ('\
C) ('5 (f‘t C3- {3 (.‘J ('_) (3 (:3 C) C) (Q) C) (A)
I

N(v

—"
‘1

Us. 0' 0. (Y (TI ("2-
j) C3 (

v—4 0' (k: C‘-
()0
I

Lu

7 {L}
H

r._
\

unw0.0 WOlmh¢£o¢ tw.
maflt.u mmlmn¢0.¢ :m.
mmHa.: mn-mmmH.m Hm.
“(0a.n maummHH.H mm.
y,nw.w mo-mHom.m mo.
mHmw.m mo-mnco.H mm.
hxmc.m mmummfitom m¢o
Lwt¢.H mnummmm.H «H.
u¢mm.H ,numxmm.H mm.
mHHH.H ¢oumxmm.m m¢.
Hwn:.H mo-mmfim.H no.
mam¢.m OnmCmH.H m .
m:0$.¢ masmmm\.m Wm.
Lumv.m :Oanmo.m mo.
uwmm.n moummmo.H 7m.
mnHm.H mnummmm.m md.
mymm.m mn-mmmm.m ¢H.
wnmm.m :oummmm.m om.
numa.¢ manmowH.H mm.
ucm¢.n :oum no.H mm.
u:¢¢.w mo mom:.H no.
mHmm.H mmummmm.H Hm.
mnm:.H moummmu.m H3.
mumm.m Ho mu¢o.H HH.
mn¢o.v moumoo:.m Hm.
u¢mm.m (ouwxmm.m om.
mmmn.n monmwmm.m 00.
mm my¢2HQy® «mm
um; xH JJm 2< mqu um

4H5 » 3mu H oz< >Hz
muzmwwuuHQ 7H >F/H<H
u xm .>m: mH. om H.

x)\ 1"“ \U x) ('7 \(f‘

if ‘ \P.
Ni)

\C.

'7"

._)

J) J') LO \1? \L)

fiu¢~t4-¢

d) \L." f\

(M 1’
H H v4 H ;U &U (U (U (U (V) (‘0 (Y) s’

H t-) H m \U ex) 13(7)“) f\ (7

um<
awkzm
quwmz

uuzs
L~OV¢H

.) L!

mo.momn.: :o-mo¢:.¢ oo.owH
mo.momn.¢ :o.mo¢:.¢ em.moH
moummom.m :oumm¢&.m cm.moH
mo.momo.m mo.moom.H m.mmH
mu.mHHm.m mo.m:mm.H ow.mmH
monmmmm.m moumHom.H ow.m¢H
mo.mmmm.m :o.wmm:.m em.maH
mo.m¢mH.m so.mowm.m om.an
moummnm.m :o-mmo:.m m.mmH
mo-mo:m.¢ :o.mH¢m.¢ om.an
mo.wwmn.m mo-mo¢¢.H om.mmH
mo.moHH.o mo.M¢Ho.m m.nHH
mo-mmH¢.n :o-m¢Hw.n om.moH
mo.mom~.m mo.mmom.m om.¢oH
mo.moo:.o :o.mmnm.m om.ooH
moumHmo.H mo-m:ow.m om.om
mo.mHmw.¢ :o.mn¢¢.n cm.mm
mm.mHm¢.n :o.mcmm.m wm.wm
mo.mmmo.m :o-mcwH.m cm.:m
mo-mmmm.H o.mm¢n.m cm.om
mo.mmo¢.n mo.mmmm.m cm.on
mo.mHHm.n :o.moom.m «m.mn
mo.mwoo.H :o-mmmm.m om.om
mo.mmmo.m :o.m:ow.m cm.nc
moamomm.m :oummmH.m ow.¢o
mo.mnmo.H mo.moom.m om.Ho
mommm mquHomm «mmHum
m¢H.m . wmo.o + nmo.o + nom.m u IHCZMJ 70HH<KOMFZH
oo+mmmm.o -+ mo.mmofl.m » 7mHhumm mmmmu 2®Hku<ma
mMJoz< 44< mmoo.o u+omHm.m u ymmmzm mo<wm><
om A «Fax» mooo.o I+mHHm.m » >mmwzm mo<wu><

om v «meh omoo.o .+mHmm.m a

+0»

>mmmzm moqnm><

fi

24 «uxq m m

momuoH

(“(U (‘tl

(V‘-

{U (kl (U (L n; (U (V?

(_) C" C.) (j) C) (i) (f) C) (I) C) C) L) (I. C) 1'-) () f.) C.) C7

Hva-4O.(\10'(\J(“{Y N(L

C
I

)

)k
I

L“) L:
I I I I I I I I I I I I I

J

pnmu.
mmmg.
mwem.
uumm.
ume.
mm¢o.
mmmo.
”NHL.
mcmi.
mdwmo
mood.
ummu.
:mHo.
mmmm.
momw.
mmmc.
muHo.
mwmm.
mamm.
uuoo.
meH.
mHm..
ammo.
mm¢H.
mw¢o.
mwzo.
mw30.
Om

{H2
muxm
u xw

v—vHv—‘anHr—IUV(K Lf;I'—I"“

Lf?‘ fir" OW (K' CK.

¢

43mm H

\‘l
.

t

I I I
LLILUIAJ
(Luis‘

r433 (I) (2-
. C

I
Lu
m
W1J¢0rn
HHNNH®¢HHHHH¢HmHmmm

I
L1)
0"
[D

'H
.5.

) (3 C) (f) C) h C) (7
I I
LL] [U
m \0
4' \U
u) .x)
o o

r
\_
I

1 i)

I
.1th)
L!“

u)

H

)V7KWW)(W(Ume)vaW)(U

\"
Oi-
I

LL

I
LL
L (Y. ,
.‘ O ,
L3,) » ,
C O O O C

(I

moummmm
:o-mom¢
mo-mon
mnamwwn
monmmmm
moumomm
mo-monH.m
mo.mmna.H
moumHHm.m
moummon.m
Honmmmm.H
moumem.n
moumHmo.m
mosmHmo.n
MH<ZHQJD

(Y
4»

«m.r¢
¢m.Ho
mm.wo
om.mm
mm.mm
cm.a¢
em.o¢
om.m¢
cm.o:
wm.nm
mm.¢m
om.¢m
om.mm
om.Hm
om.om
cm.mm
om.mm
mm.mm
om.mm
mm.Hm
mm.mH
om.mH
om.mH
cm.mH
om.HH
om.m
00.0
«mmHumq

mmmavmn 2H mgoz< n4

mzq

>PZH<hmm7

n uuHQ 2H >HJH<F¢MUJJ
.>mz mH.om

“.msath

APPENDIX A . u

l”N(d,t)13N EX < 8 MeV

196

mo.m:¢n.m
mo.m:¢m.n
moummmm.n
moummon.o
moummo¢.o
moummm:.o
moummmo.m
mo.mmm¢.m
moumnHm.m
moum¢mm.o
moummHm.o
moumHom.m
monm0¢H.o
moummmH.n
moumm¢m.o
moummmm.m
moumm:H.m
moammHo.m
monmmwo.o
moummnm.n
moumomm.n
mo-mnom.n
moummmH.H
mo.mmoo.m
mo-mmom.H
mo-momm.H
ammmu

m¢H.m u mHH.o + moH.o + mam.m a IHQZMJ

oo+mmom.o

3+ oo+mc¢m.o

mouwmmo. m
NOummwe. m
mo.mm¢o.w
NeummoH.w
mo.mmno.n
mo-mm3H.m
maumHo:.o
mo.mm¢H.o
moumomn.m
mo-m¢mc.m
mouumHm.m
mo.mno¢.m
mo.moeo.¢
mo.mmom.¢
mo-mmHm.m
moummw¢.m
mo-mmcm.m
mo.mmm¢.m
mo.mmm¢.m
mo:mmmm.m
Ho-mo¢
Ho.mH¢o.H
HaumHm¢.H
Ho.mmmm.H
Ho.mmom.H
Ho.mmHn.H
MH<?Hwa

co.oxH
om. owH
om.moH
03.me
OWo¢mfi
om.omH
mm.w:H
:m.H¢H
mm.an
mH.mmH
om.me
0H.¢mH
n¢.omH
Hk.oHH
Hm.mHH
mo.moH
mfiom)
mH.HoH
mo.nm
mm.mm
mm.mx
oc.mm
0:.mm
:m.mn
mm.mn
m¢.mm
«mmHum<

7®HF<moszH

u onhumw mmomu Zmeu<ma
mmqoz< JJ< mHoo.o u+mHHo.o- u
om A (kka NHoo.o u+mmoo.0n u
om w «mek Hmoo.o .+mmHo.0t u

>mxmzm moqrm><
>ozmzm mo<wm><
>Oflm2m mo<fm><

-mxH u a Ham

mmuMHmm.H
mmsmqmm.H
muummmH.H
MOIuOfihom
mGthNUoQ
fimnuuim.0
mmlu«ON.H
mOuquL.n
mocmun¢.n
mmuwumm.H
mouLJmm.w
mwuuq:¢.m
wo-mHm¢.m
mmumnmq.m
WUIuOM3.W
mm-wwm:.m
mo-mUHm.w
nuumuma.H
moumumc.m
mmuuHmo.m
mo: mmma.¢
mo pnmw.n
HUI u~meoa
on m ©0.H
HCImme. m
HOluUmmgm
oamwwm.m
ommuw
mmummm xH
2H zmeum
u xm

Ho-mm:n.H
Hnumncn.H
Hnumon.H
mo-m0mo.m
mo-mmHH.m
moumHHH.m
Hacmmxm.m
HoummnH.m
Ho m:m:.m
HOlm¢Nfl
OIw_}._m)
oo+mmm
HOIwGN
on+m¢m
Hnsm¢Ha
Ho-mmmo
Hnumcxc
Hoummom
Hnummmm.
Hoummmm.o
oo+mnmn.H
o_n+momu.m
oo+momm.¢
oo+mwom.o
oo+mnmm.n
oo+wmmo.m
oo+mmmo.m
mk<7meo

(_) -.U( \_)
O o

H
o
U)¢\DO()U\HU‘\H1!LO

u4mx< mqu

wm.mo
mm.mo
mo.oc
c@.mo
wm.mn

«meu

no

m<

mmhz_

m mmmmu Jquzmmmuu

.>mx mH.om

mHth~Qv¢

oo+moom.o
n+mHHo.on

u+HmHo.On

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HHHHZH 44H “Hoo.o .+Hmmo.H . ymmHZH HHHHH>H
am A (HHIH mmflo.o .+mnHo.H u >HHH7H HH<HH>H
om v (HHIF mmoo.o c+HHoH.m u >mxmzm Hm<wm>q
+H\m u a mom u nH HHH.H u XH .>Hz HH.HH mfiynF.HHHHH

"wu-Hmm.w mum mH.H Hm.mH
mouHHHH.H mH-HHHH.H HH.HHH nH-HHnm.H HH-HHHH.H Hm.mH
moumHHH.H mouHmHH.H HH.HHH HH-HHmH.H HH-H mH.H Hm.HH
mH.HHHm.H HH-HHHH.H HH.HHH HH-Hcmm.H HH-HHHH.H Hm.mm
mo.HHmm.H HH-HHHH.H H\.HHH HH-HHHH.H HH-HHHU.H Hm.mm
mo.HHHfi.m HH.HHHH.H Hm.Ho HH-HHHH.H HH-HHHH.H Hm.mm
mo.HHHH.H HH.HHHH.H Hm.Hm HH-HHHH.H Ho-HHHH.H HH.HH
mo-Hmmm.m mouHmmm.H Hm.mm HaumHHH.fi HoummmH.- Hm.Hm

H.HHHH.H Ho.Homm.m HH.HH HH-HHHH.H HH-HHZH.H Hm.Hm
mH.HHHH.H HH-HHHH.H Hm.HH HH-HHHH.H H-HHHH.H Hm.Hm
mH-HHHH.m .H.HHHm.m HH.HH HH-uHHH.H HH-HHHH.H Hm.mH
mH.HHmH.m Houmnmm.m Hm.Hn HH-HHHH.H o-Hmmfi.H Hm.HH
mH.HHmH.H Ho.HHmm.H Hm.mn HH-HHHH.H HH.HHHH.H HH.HH
mH.HHH~.~ HH-HHHH.H Hm.Hm «H-HCHG.H HH.HHHH.H Hm.mH
mH.HHmm.m HH.HHHH.H HH.HH nH-LnnH.H HH-HHHH.H Hm.HH
mH.HHHn.m HH-HHmm.m HH.HH Hn-uomfi.n H-HHHH.H Hm.mfi
mH.HmHH.H HouHHHH.m Hm.HH HH-HHHH.H H-HmHm.H Ho.na
HH.HHHH.H HH.HHHH.H HH.HH HH-HHHH.H HH-HHHH.H Hm.mfi
mH.HHmH.H HH.HHHH.H HH.HH HH-HHHH.H o-HHmm.H Hm.mfi
mo.HmHH.H HH.HHHH.H HH.HH HH-HHHH.H HH-HHHH.H HH.HH
mo.HHmn.m HH.HHHH.H HH.HH «H-HHHH.H HH-HHHH.H Hm.m
mo.HmHH.m Ho.HmHm.n Hm.HH no-HHHH.H HH-HHHH.H HH.H
mmamH HHHXHHHH «HmHum< umuam HHHZHHHH «HHHHHH

HHH.m a mHm.o + HHo.o + HHH.H u IFHHHH HHHHHHHHFZH m
HH.HHHH.H .+ Ho.HfiHo.~ » ZHHFHHH HHHHH HHHHHHHH “HHHH WH\HH 7H (HHHHHH
HHHHZH JJH HHoo.o .+Hmmo.H u >HHHHH HHHHH><
om A (HHIF HHHo.o .+Hnno.H n >HHHH HH<HH>H
om v «PHI» Hmoo.o .+nmofl.m u >HHHZH HHHHH>H

+H\m u n mom

HHHHH 7H HHHXH m4
mmHHH JHHFHHHHHHH

0H 00H.m n xm .>mz mH.om mfizfihsOVHH

HIJ‘.‘

HFNH. Halmnfir a .HO

F:
‘l

H. .0 Ho
moummmm.H Hoamamo.m ou.0mH mmnHflmH.m flaummmm.m mm.aw
H0-HHHH.H fi0.HHm0.H HH.HHH c0-HHH0.c H0-HHHH.H HH.HH
H0.HHHH.H H0.Hmmm.fi HH.HHH HH-HHHH.0 H0.HHHH.H Hm.mm
H0-HmmH.H H0.HHHH.H HH.HHH H0-HHHa.a H0-HHH0.H HH.HH
H0.HmmH.fi H0-HHHH.H HH.HHH HH-HHHH.H H0-HHHH.H Hm.HH
H0.HHHH.H fi0.HHHm.H HH.HHH a0-HHHu.H H0-HHHH.H HH.HH
H0.Hmfim.fi H0-HmfiH.H Hm.nmfi HH-HHHH.H 00+HHHH.H Hm.mH
H0.Hmmm.H H0.HHHH.H Hm.Hmfi H0-H0HH.H 00+HHHH.H H0.0H
H0-Hfimn.m H0-HHH0.H Hm.mHH H0-HLHH.H 00+HH0H.H Hm.mm
H0.HHmH.H H0.HHm0.H Hm.HHH H0-Hmmo.fi 00+HHHH.H Hm.Hm
H0.HHHH.H H0.HHHm.m HH.HHH HH-HHmH.H 00+HoH0.m Hm.Hm
H0.HHHH.m fi0-Hmmm.m HH.H0H H0-HHHH.H 00+HHHH.H Hm.fim
H0.Hmnm.H a0-HH00.H Hm.H0H H0-HHHH.H HH+HHHa.m Hm.0m
H0.HHHH.H fi0-Hm00.H Hm.00H H0-HumH.fi 00+HHHH.H Hm.mH
M HHHHHTH 0.HHH0.H Hmém Rikin 00+HmmnH Hmém
H0.HHHH.H H0-HHHO.H HH.Hm H0-HHH0.H 00+H05m.H Hm.mH
H0.H0HH.H 0.HmHm.H HH.HH HH-HHHO.H 00+HmmH.H Hm.mH
H0.HHHH.H fi0.HmHH.H HH.HH Ho-uHmH.H 00+HHm0.m HH.HH
HouHHHm.H H.HmHm.m HH.0H H0-H00n.m 00+HHHH.H Hm.mfi
H0.Hnmm.H H0-HHHH.n HH.HH H0-HHHH.H 00+Hnm0.m Ho.nH
H0.HmmH.H H0.HHHH.H Hm.mn H0-HHHH.H 00+HHHH.H Hm.mH
H0.HHHH.H H0.HHHH.H Hm.0m H0-HHHH.H H0+HHHm.H Hm.mfi
H0.HmmH.H H0.Hnmm.m Hm.nH H0-HHHH.H H0+Hmmm.fi Ho.HH
H0.HmHn.H H0.HmHm.H HH.HH 0-HHHO a H0+HHHH.H Hm.m
HH.HHHH.m H0.HHmm.H Hm.HH 0.unH0.H H0+HHHH.H 00.0
«HHHH HHHHHHHH (HHHHHH HHHHH HHHHHHHH «HHHHHH
HHH.m . mHH.0 + HH0.0 + Hom.H a IHHZHH 7HHF<HHHF7H HHHHHHH 2H HHHZH H4-
H0+HHHH.0 .+ H0+HmHH.H u ZHHHHHH HHHHH HHHFHHHH AmHJH amxmz HZ 2HHFHHH HHHHH HHHHHHHHHHHH
HHHHzH JJH 0000.0 -+0000.0 n >00H7H HHHMH>H
0m A (FHIF 0000.0 .+0000.0 u >HHH2H HHHHH>H
0m v «PHx» 0000.0 .+0000.0 a >HHH2H HHHHH>< ZHHFHHH HHHHH HHHFHHHHHHHH HHHHH
«H » 0H .>Hr mH.0 A_w~H0HH/

APPENDIX A . 5

luN(d,3He) EX < 8 MeV

«H-Hfimm.H H0-HHHH.H 0H.HH
m0.Hmmm.H H0.Hfin0.m 00.0H H0-Hfimm.fi H0-HHHH.H 0H.HH
m0.Hmmm.H H0.HHH0.H HH.HHH H0-HHHH.H H0-Hmmm.a HH.HH
mouHHHH.H H0.HHH0.H HH.HHH HH-HHHH.H H0-HHHH.H Hm.HH
m0.HHHm.m H0.HHHH.H HH.HHH HH-HHHH.H -H-HHHH.H mm.HH
m0.HHOH.H H0.HHHH.H HH.HHH HH-HHHO.H H0-HmH0.H HH.HH
m0.HHHm.H H0.HHHH.H Hm.mmd HH-H00m.H H0-HmmH.H mn.fin
m0.HHHn.H 0.HmHH.H HH.HHH 00-HHHH.H HH-HHHH.H Hm.HH
m0.HHHH.H H0.HHHH.H HH.HHH H0-HHHH.H H0-HHHH.H HH.HH
mo.HHHH.H H0.HHmH.H HH.HHH m0-HHHa.H H0-HHHH.H HH.HH
m0.HmHm.H H0-Hmm0.H HH.HHH nH-HHH~.H H0-HHHH.H mH.HH
m0.HHHH.H H0.HHHH.H sm.HmH HH-HHHH.H 00+HHHH.H Hm.HH
mouHon.H mouHmmo.H Hm.mmfi mmuHHmm.m HonHmmn.m mo.mm

m. m0.HHmn.H H0-HHHH.H Hm.mHH a0-HHHH.H 00+HHHH.H 0m.mm
2 m0.HHHH.H H0-Hmmm.m 0H.mHH H0-HHHH.H 00+HHHH.H mn.Hm
mouHmHH.n mouHHHH. H mH.mfiH H0-HHHO.H 00+quH.H Hm.mm
m0.H0mn.n H0.Hmmm.m 0.HHH oH-HHmH.H H0-H0Hm.m HH.mm
00.HHHH.H H0.HHHH.m mH.H0H H0-HHHH.H 0-HHHH.H nH.0m
m0.HHHH.m H0.HmH0.H HH.HHH H0-HHHH.H fi0-HHmm.m HH.HH
m0-HHmm.n H0.HHmH.H HH.00 H0-HHHH.H H0-Hnm0.m HH.HH
m0.HmmH.H H0.HHHH.H H0.Hm H0-HHHH.H 00+HHHH.H mn.mH
m0.HH0H.n H0 HHHH.H mm.nH H0.HHHH.H 00+HmH0.m HH.HH
m0.HHm0.H H0.HH0H. H HH.HH H0.HHmH.H 00 HHHH.H H0.ma
H0.HmHH.H 60.HHHH.H H.HH H0 HH00.H 00+HH0m.H HH.HH
m0.HHmH.H H0.Hm0H.H mm.Hn H0-H:mm. H 00+HHmm.H HH.HH
H0.HHHH.H 60.HHHH.H HH.HH H0 H000.m 00+HHHH.H 0m.fifi
HouHHHH.H HouHHHH.H mH.Hm HoauHoo. m 00+HH Hm.m 00.0
HHHHH HPHZHHHH «HHHHH< HHHHH HHHzHHHH HHHHHHH
HHa.m . an0.o + HoH.o + HHm.H » IPHZHH 7HHH<HHHF2H HHHHHHH 3H H4m7< mqu Hm HHHZHH
00+Hnmm.0 .+ 00+HHHH.H . ZHHFHHH mmHHH 7HHHH<HH “HHH aH\uy HZ (HHFHHH HHHHH HHHHZHHHHHHA

mHJHz< JH< Hmoo.o n+Hma0.0u u >HHH2H HHHHH><
om A <hHIh nmoo.o u+Hmoo.on u >omH2H Ho<aH><
om v <FHI» Hmoo.o a+Hmfi0.o. u >HHH2H HH<HH>H
.Hxa « 0 flHm u 0H 000.0 a yH .>Hz mfi.0H mHHAme.00HH,

mo-HHmH.m mo.Hm¢H.m HH.HHH mm-wmmm.fi Ho-mHHm.H HH.HH
mo.HHmH.m HO.HHHH.m HH.HHH HH-HHHU.H HQ-HHHH Hm.HH
mo.Hnmm.m Ho.Hmoo.H HH.HHH mm-mumm.fi Ho-HHHH.H HH.HH
mouHHOH.m mouHmHm.m HH.HHH Hn-mcuc.fi Ho-HmHu.H HH.HH
mo.HHmm.m mo.HHm¢.m HH.HHH «n-mmmo.m Hm-HaHH.H Hm.m¢
mo.HHHm.H Ho.HH¢H.H HH.HHH HM-HHHW.H Hr-HHHH.H Hm.H¢
mH.Homm.H HH.Homn.m HH.H¢H mu-mmnv.m Ho-womm.m Hm.mH
mo.HmHo.H mo.H¢on.¢ HH.HHH mm.mrmm.m fldeHTH Hm.o¢
mo.HmnH.¢ mo.HHHm.H HH.HmH MM-HHHN.H Hw-mHHH.H Hm.mm
mo.HmHo.H mo-H:mn.H Hm.HmH um-mwmm.m m-HHHH.H Hm.mm
monmmHmH¢ NOIMN¢QH¢ om.mmfi mw-mucw.m om+mfimn.a mm.mm
mo.HHmo.m mo.HHHH.H HH.HHH HH-HHHH.H HH+HHHH.H Hm.¢m
MOIMNmmHm Noumoww.¢ omohafi m%:u0w0.m Houmfio¢.m mmH¢m
moumomn.¢ moumn¢m.¢ cm.mHH mmnuqfim.n oo+mw¢0.fi mm.mm
mo.HHHm.H HO.HHHH.H HH.HHH HH-HHHH.H oo+Hc¢H.H Hm.flm
mo.HHmm.H mo-HHHH.H HH.HHH mm-mmmm.w HH+HHHH.H Hm.Hm
mo.Hm~o.n Ho.HHHo.H HH.HHH ou-mmcm.q om+HHHH.H Hm.mm
mo.HmHn.m Ho.HHH¢.m Hm.Hm HM-HHNH.N or+HHHH.H Hm.nm
mo.HHoH.m Ho.HHHH.m HH.HH mm-mwca.n oo+HHmo.H HH.HH
mo.HmHm.n mo.HHHH.m HH.HH mu-mHom.m mo-mmgm.H Hm.mm
mo.HHHH.H HO.HHOH.H HH.HH mm.mwmw.m mo+HHHH.H HH.HH
moummsdgw HOIman.H om.0n DMIWNLO.( M0+wfl¢m.m 0m.mfi
mo.HHHH.H Ho.HmHm.fi HH.mH HM.HHmH.H co+Homm.H Hm.mfi
mo.HmHm.H Ho.HmmH.H Hm.on HM-HHHH.W oo+HHHH.H Hm.HH
mo.HnHH.m Ho.HmmH.H Hm.mH Hu-mmmq.m oo+HHNH.m Hm.mfi
Ho.HmHm.fi Ho.HmHH.H HH.HH “.mcc«.n Ho+HHnH.H Hm.fifi
HH.HHHH.H Ho.Hmom.H HH.HH Hm-HHHH.H HH+H¢mm.H Hm.m

HHHHH HH<zHoHH «HHHHHH HNHHHHH.H Ho+H¢mm.H no.0

mHH.m . . HaHaH HH<7HHHH (HHHUH<
HHo o + “Ho.o + HHm.m u IkozHH ZHHHHHHHHZH
HHHHHHH 2H HHmzq H4

oo+HHmm.o .+ oo+HmHH.H

. on m -

mHHHz< 4H4 omoo.o .+Hmfio.mmH. “HHHV HH\HL 2H HHHHHHH HHHHH HHHHZHHHHHH
om A (HHIH “Hoo.o .+HHoo.o. u

om v <FHI» Hmoo.o u+mmfio.o. .

mmmmu 2HHHU<HH
>ommzm mo<mm><
>mamzm mo<mm><
>ommzm mo<nm><
um\a a fi u o
Hmm H mHHHmHHHHHHH

COO-O u xm o>mZ MHoON

mo-mooH.m megmmHm.¢ oo.omH
moumooH.m mo.mem.¢ mH.mnH
mo.mm¢m.m mo.mmom.m ¢H.mnH
moummon.m moummwm.m mm.moH
moumn:H.¢ moummH:.m co.mcH
mosmHom.m moanm¢.m mw.mmH
mo.womH.m mo.mmom.H H¢.¢mH
mo.mo:m.m mo.mmmH.m mm.omH
moumHmm.m NeumHmo.m om.o¢H
moummom.m mo.uoom.m mH.m:H
moummHn.: mo.wmmn.m nw.an
mo.mmmm.¢ mo.mm¢m.m mm.mmH
moumHm~.m mo.mmmn.H no.mmH
monmnmm.m mo mHmo.m mm.¢mH
mo.mH¢m.m mo moo m. m mm.omH
mo.mom¢.m mo.mm¢H. H HT HHH
mo.mmmo.m mo.mmom.H mm.mHH
mo.mmmm.¢ mo.mmnm.H ¢¢.moH
mo.mo¢¢.¢ monmmom.m moH
mo.mmmH.¢ mo.mmHm.H :m.HoH
mosm:Ho.m mo mxo m. H H¢.mm
mo-mH3n.m moummHm. H Hm.mw
mo.mmHm.m mo.mHmm. H :o.@m
mo.m¢Hn.m mo.m:nm.H ow.mw
mo.mmom.m mo--omm.m mm.mm
moum¢mm.¢ moumHnm. m om.on
mo.mmmo.¢ mo.momn.H :o.mn
mommw mquHomm (mmHu

NHH.m . moo.o + 00H.o + nom.m a 1H07m4 zmHquomHzH
Ho.mmmo.o .+ Ho.mnmo.m . zmHHuwm mmmmu zmHHu<wu
mmHoz< HH< m¢oo.o .+~mmo.m . >mxmzm mo<uu><
om A (HNIH mooo.o .+onH.m . >oxmzm mo<wm><
om v «HMI» mmoo.o .+mmno.m . >mmmzm mo<am><

+m\H a j mmm n

0H

Hfiuv

Y.

I;

m
w\m£

mn.mxmg.a mo-mmmm.H
mo-Mamo.: mo-mom\.H
mo-;umH.w mo-mumn.m
mo-¢mmo.m mo-mw¢w.m
ro-mumn.¢ mo-Mmmm.m
mm-umom.¢ mu-womm.m
mo-ucmm.¢ mo-moem.m
ro-umom.¢ mo-mmmn.m
wo-mmoo.n moummna.¢
mu-mmnm.m mo-mHoH.m
mo.mann.: o-mm¢¢.m
moummHo.¢ mo-mmHm.m
wouummm.e moummfim.¢
mo-wmmm.¢ mn-m\Hm.m
vnumumm.¢ moumo:o.¢
mc-ucmo.¢ mo- omn.m
mo-mamm.w mo-mmmo.m
mo-mmmm.H m<-mn0¢.n
mo-m¢mm.n mo-mmmH.o
wo-HmHo.H mo-mnu:.m
mo- mHom. H Hu-m¢HH.H
munmo¢o.H moumow¢.m
mo-mm¢o.H mo-mmmw.o
mo m‘wH.H mo-mwwm.n
«u-mmkm.H mo-mm¢¢.m
no mama. H moum:m¢.m
nu uwmo.m mo mmnm.m
no-m¢no.m mn-mqnu.w
vagum mF47HQmm
mmamuo 3H MJoz< mm<;
zH Hmeumm wmmr

xm o>m1 mHoON

:O.mn
:o.mm
mn.mo
mm.oo
mm.mo
mm.mn
mH.om
mo.mm
NH.m¢
om.n:
mo.w¢
mo.m¢
mH.m¢
mm.mm
mm.wm
H¢.mm
mm.cm
mm.mm
m¢.Hm
mo.mm
30.0m
mm.¢m
mw.Hm
0:.mfi
nm.wfi
mm.:H
mH.mH
no.0
«mmHum4

me xmh2m

.u J<szmrmuuH

mHuHmm1~oV¢H

m-mumu.¢ mo-mxma.m om.Hm
mo.mmmH.m mo.mwoo.m oo.owH mo-mmmu.¢ mo-mmmo.m om.Ho
mo.mmmH.m mo-mmwo.m om.me mu-Hqu.n mo-mmuo.¢ mm.mm
moumHmm.m mo-mmo¢.m om.moH mm-umnm.w mo-M¢wm.m cm.mm
mo-mn:m.m mo.u¢m¢.H om.moH mo-wmm¢.m ma-mmom.m om.mm
mo.mmmo.m mouummm.H om.an mo-mHmo.u mo-wmmo.m mm.m¢
mo.mmmm.m mo.moom.H om.mmH mo-mHmo.w mo-mmmm.m mm.o¢
mo.mmwo.m mo.momm.H om.n:H mo-wmmu.m mo-mmoH.¢ om.m¢
mo.mm¢m.m mo.m:m¢.H cm.m¢H mo-m¢mq.o mo-mmw¢.m cm.o:
mo-mHHm.m moumHHH.m cm.an moummoc.m monmcwH.¢ cm.mm
mo.u¢mw.m mo-mHmm.m om.mmH mo-umm¢.( mu-moww.: cm.mm
mo.moo:.m mo.mmmm.m om.an mo-wwom.w mo-mmam.m om.nm
mo.m¢o¢.m mo.mooH.m om.mmH mo-mHow.w mo-mnHo.o mm.¢m
mo.mmmm.m mo.mnmm.H om.nHH mo-uo¢m.¢ mo-m¢m¢.m cm.mm
monmmnmom moum0m0.« om.mafi molmmoo.¢ moumaemom 0m.Hm
moum:n:.m moummmw.n cm.on mo-m¢¢m.w mo-mm¢o.n mm.om
mo.mmmm.m mo.m¢¢m.m om.¢oH mo-mnHm.n mo-moma.m mm.mm
mo.mo:m.m mo.MHmo.H cm.ooH mo-mmnm.H Ho-momu.H om.mm
mo.m¢wH.¢ mo.mmmw.H om.cm no-mw¢o.H mo-mmxm.m mm.mm
moum:mm.¢ moummmm.m om.mm mougqm¢.H Hmumm¢m.H mm.mm
mo.mnoH.¢ mo.mHmm.H om.wm mo-HLnx.H Ho-mnom.H «m.Hm
mo.mwnn.m mo.mmo¢.H mm.ow mo-upmm.H Ho-mHmm.H om.mH
mo.mmmm.m mo.mmH:.H om.on mo-mumm.H mo-m0¢m.m om.nH
moummmm.m mo-momH.m @m.mn mo-m¢mn.H Houm0mo.H mm.mH
mo.mmnH.: mo.mmnn.H om.on mo-mmom.m mo-mmmm.n om.mH
mo.mHmo.: moummmn.m om.mo mu-mamm.m Ho-mmmo.H om.HH
monm¢mm.: moummoo.m om.¢o moumqmo.m HeumHmm.H mm.m
monmmmw.: mo-mmmo.m cm.Ho mouuqoo.m HosmHmm.H 00.0
ammmm mquHaam «mmHum ymaam Nqungm «mmHum4

m:H.m n mwooo + nmo.o + hom.m n IkoYmJ zmHF<10mth mmmmmma 7H mgoz< m4

Ho.ummc.o .+ Houmomo.m . onHumm mmnmu zmHHu<ma quJH amxmz 2H zmHHumm mmnuu 4<szwmmuuH
mu402< JH< m¢oo.o .+nmmo.m . >ommzm mo<am><
om A «HUI» mooo.o .+m¢mH.m . yommzm mo<am>4
om v (Hulk mmoo.o .+oomo.m . >mxwzm mo<gm><

+mxH n a mmm » 0H omo.m u xm .>m2 mH.om mHuHmm1~oH¢H

mu.mmmo.H mo.m¢wH.w oo.owH
mo.mmmo.H NOIMHwH.m NH.mnH
mo.mmmm.n mo.m¢mo.n mH.mmH
monmmow.m HoImmo:.H om.ooH
NOIMmmH.H Ho.mHno.H mm.moH
moummnm.H Houmnmo.m wn.mmH
NOImmo:.H HoImo¢n.H on.¢mH
NOImmwm.H HoImmHm.H o~.omH
mo.mmmm.n mo.mmHm.o om.o¢H
moummoH.n mo.mHHm.n nm.m¢H
mo.mo:m.n mo.mHom.o mu.mmH
moImm¢m.n moummH¢.m cm.mmH
mo.m¢wo.H mo.mmmm.c mm.mmH
mo.mmmm.o mo.mHm:.m mw.¢mH
M. mOINNHm.o mo.momm.m mH.HmH
monmmoH.H moImHmo.m m¢.mHH
mo.mmnm.m mo.mm¢m.m Ho.mHH
mo.mmmm.n mo.mmmm.¢ on.moH
mOIMNQH.: mo.MmmH.m mn.moH
mo.mm¢H.H mo-mmHo.m ow.HoH
mo.munw.m mo.momw.o Hn.mm
mo.m¢H0.m mo.mHmm.w mm.mw
mOINHmo.m mo.m:¢m.n mm.om
mo.mH¢o.m mo.momm.m oH.mm
moummmo.m mo.mmom.m Hm.mn
mo.wum¢.m mo.mmmm.w :L. en
moamHmo.H mo.mmmH.m mm.mn

mmmmm mquHomm «mmHum4

NHH.m I moo.o + ooH.o + mom.m I IHQ2MJ zmHH<momHzH
oo+mmnH.o I+ oo+mmoo.H . zmHHumm mmmau zmHHuqma
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a mu-mmmn.fi Ho.mowm.m mm.mm wo-mcfim.m Ho-mmmm. o Hm.nm
mo.mmm¢.fi ao.mnfin.m mm.mw no-wmom.m Ho-mmom.m mm.mm
mo.mfim¢.fl Ho.mmmm.m mm.mn mo-bqom.¢ oo+m¢xo.fi nu.mm
mo.mmmo.fi Ho.mmow.m mm.mn ao-mo¢x.¢ oo+mm.u.H em.om
mo.m¢mm.H do-mdmm.m m¢.mn «o-m nm.n o+mmfi¢.a mm.ma
mo.mmmo.fi Ho.mmfin.m mo.mo mo-muom.q oo+mnw¢.fl om.mfi
mo-wm¢¢.a Ho.mkom.m ¢m.me mo-uooo.n oo+mmwfi.fi eo.mfi
mo-mmmm.fl Ho-momn.m mo.mo mo-UJow.n oo+mmwfl.fi no.0
mmmam mk<zfiuam «mm o: nmuam mkdvmnxm «mmfiumq
m:a.m u mwm.o + odd.o + w¢m.m u Ibo zm4 7mHF<momsz mmmgcwo 2H Mmed mqu no xMFzm‘
oo+momm.o .+ oo+mmmm.¢ . zmHhumm mmmmu zmeu<ma Auuv qufl) 7H yonumm mmmcu Jquzmxmuan
mm402< 44< omoo.o c+am~m.n a >mxmzm moqwm><
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n m um m4
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mo-mmmfl.m mosmo¢o.a wm.mmfi mo-hmm¢.u Hoummmm.¢ om.c¢

o-mmmm.m mo-mmmm.¢ om.mmfi no-maom.m Ho-wnmm.o am.m:
mo.mmoo.fi flo-mofim.fi om.nflfi mo-mmfiq.m o-wmme.n mm.o¢
mo.mmmo.d Ho-mowo.m om.mfifi mm-mumn.m Ho-m¢om.m om.mm
mo.mmom.¢ mo.mmmm.m em.wofi mo-mamm.a o-mfimm.m «m.mm
mo.mmom.n mo.mrmfi.o om.¢ofi mo-umfiw.m an-wmko.m mm.mm
mo.mmom.m mo-mwmw.m om.oofl mo-w\mm.¢ oo+mfi¢fi.fi om.:m
mu.mflflo.d Ho.mm¢o.fi em.om ma-wmu:.m oo+mmmfi.fi mm.mm
mo.mmmm.o mo.mmfim.m m.mm ma-m:oo.m oo+wfimo.fi «m.fim
mo.mmmo.fl fio.mfifim.fi om.mw mn-wmoo.m o+m¢fia.fi mm.om
mo.mfioo.fi Ho-mmmfl.fi m.¢w no-mmom.m oo+mm¢o.H cm.mm
mo-mmmm.H do.mmfim.m m.ow mo.m¢m¢.m Ho-mmmm.m cm.Nm
mo.mm¢¢.d Ho.moofi.m om.on mo-m«mm.m oo+mamo.fi om.mm
moum:¢m.a floumonm.m om.mn mo-mmmfi.¢ oo+m:mn.fi mm.mm
mo.mono.m do.mfimfi.: om.o~ mo-m”mo.m oo+mfimo.fi mm.Hm
mo-mfiwo.fl Ho.mmmm.: om.no mu-uuwfi.m oo+m¢mm.fi cm.mfi
mo.mmom.fi do.momm.m om.¢e mo-mk¢¢.o oo+m¢fim.fi om.nfi
mo-mmmo.m Ho-mmm:.m em.fio wo-m«om.n oo+mmmm.H om.mfi
mo.mwmo.m Ho.mmwm.m om.wm Ho.mwom.fi oo+mm¢m.m cm.mfi
mo.momfl.m do.mmmm.m cm.mm fio-wm0¢.fi o+m¢mm.m om.HH
mo.momm.~ Houmom¢.m om.mm Ho-mmnm.fi oo+mmcm.fi cm.m
moumnofi.m Ho.ma:n.m cm.m: Ho-¢unn.fi oo+mmum.fl 00.0
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m¢fl.m . ¢m¢.o + nmo.o + fiom.m u IHOZMJ zer<momth - mmmammm 2H Man< m4.
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mo-mmfi¢.m maumHmm.¢ mo.wmfl mo-mnmm.n mo-mfinm.o fin.flm
mo.mmo¢.o mo-mmwo.¢ :m.¢mfi mo-mw¢a.w mo-mmnm.¢ :m.on
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mu.mmnfi.w mo.mm¢fi.o om.mflfi mo-m¢fia.¢ mo-mfimn.¢ :m.¢¢
mo.mo¢m.n mo.mwoo.o ::.mofi mo-mmmm.n mo-mmmw.m mm.fi:
mo-momm.m mo.mnmm.w m¢.mofi woum¢mn.¢ maumfic<.m “0.0:
mo.wfimn.o mo.mfiao.m mm.fiofi wo-mfiem.m mo-mom¢.e mm.mm
mo.wmoo.fl “o.momfi.fi om.mm mo-bfifio.< mo-mmm¢.o mfl.wm
moummfim.m Houmsm¢.fi mo.mm no “3mm.fi mo-mom¢.m mo.mm
mo.mmmm.m Ho.mmmo.fi mw.m) mo u¢mu.n mo-mmfim.o Hfi.mm
moummom.m 5.920; nmém mo... -3an moummmm mm.om
m monmmmmé mo.mm:¢.w :m.mm mouuxmio mnummmn nofnm
moumomo.n moummmm.n am.mn monmnom.o monmwmo.n :m.mm
mo.mwmm.m NeumHo:.~ om.on no-ucfifi.fi mo-m¢mo.w mm.mm
mo.momo.n mo m¢mm.m mu.mn mo-mem.fi mo-mcmm.m :¢.um
mo.mmmo.m mo.uo mm.¢ mm.mo mo-mum¢.m fio-mmm¢.fi mw.nfi
mo.momo.o mo.mmfln.¢ 00.00 mo-mfimm.m o-mm:m.fi mm.mfi
mo.mfim¢.o mo.mnoo.¢ am.mo mo-mm¢n.m Ho.moam.fi mm.mfi
moummmm.o mo.mm¢¢.m :m.wm no-¢m:m.u fio-mowm.fi no.0
mmmmm mquHoxn «mmHu, nmagm mk<7Hmmm «meum<
m¢fl.m . mm¢.o + mfifi.o + nmm.m u Ihm7w4 zmHF<HOMFzH m m:m_u 7H MJW7< ,;m4 um zMFz
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m¢d.m a mwm.o + nwo.o + o~:.m
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moumafim.m ou.omfi
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mo-m~fim.m om.mnfi
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mo.mmm¢.m om.mm
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monmomo.w om.ww
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Ho-Mamm.fi oo.om
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APPENDIX A . 6

ll

luN(d, He) EX < 1M MeV

moumqmm.c mmnwmnn.m 0:.om
mo.m:00.m m0.mflum.fi u0.0mfi 00-mumm.¢ m0-mmnq.m 0:.00
mo-w:mo.m moumfimn.fi mw.HmH mm-uowc.: mouwowm.fi mm.om
mosmnmm.m mo-mmm¢.: ~0.Hmfi noumufiw.fi fio-mm03.fi HH.0¢
mo.mmmc.¢ m0.wmmm.m mn.m¢fl m0-mmmm.m m0-mcxm.m 00.0:
MOIwm¢m0m NOIM#OOom awofiflfi KOImKamofl afllmmmfiofi H¢ou¢
moum¢on.m mauwfiom.fl om.nmfi moumuqm.m Ha-mmm¢.fl 00.0m
moum¢¢¢.m mo-mnm:.m mm.mmfi mo-mn¢c.o fio-m¢mn.a mw.mm
0.00mm.m m0.mmmm.m 00.030 m0-0m¢0.0 0-mofio.fi 0m.¢m
monmm¢n.m mo.mmmo.m mm.¢:fi mnnmfioo.m Honmmmm.fi H¢.mm
.u m0.mmm0.m moummflo.m Hm.mmfi n0-ummm.0 H0-mH¢0.H mfi.0m
a moummm00¢ moummwm.m c:.mmH maumfinm.fi H0|m0m0.a mm.hm
mo.mn¢¢.m m0-mmmn.fi $0.0mfi 00-0000.H H0-momm.fi m.m
monwmmm.m mOumHmfi.H om.0mfi «Qumwma.fi Ho-mm¢n.a om.mm
moumaom.m mo.mflmo.n om.mfifi nonm¢¢n.fi Houmm¢m.fi mw.o
moumoofi.m mo-mnwm.m 00.:fifi mnuLumm.fi Hoummwo.fi nm.ma
monmomm.m maummn:.fl Hm.oHH m -uwe:.m an-mmfi¢.m mm.ma
monmmmm.¢ mo.momm.m m¢.oofl mc-un¢a.m Hoummm0.m mm.mfi
moumome.: mo.m~mm.m w¢.mofi moumumm.¢ H0-mficfi.m 00.HH
m0.mmmm.¢ m0.mmn0.m 0:.00 00-0n 0.: H0-mflofi.m 00.0
«mamm wk<xfioxm «mmfium< amuum mquHQmm «000004
m:fi.m u mno.o + Hofi.o + mom.m u Ipmzm4 zmHh<momth mm:angq 7H m4m7< mm<z um xmhzm
«oummom.o u+ ao-mado.n » zmeumm mmmmu zmHhu<mm “yo. amxmx 3H zmwpumm mmmmu 4<Hk2mxmuuH
mm40z< 44< 5000.0 .+mmm0.0: a >0mmzm m0<am>q
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H0.0mnm.fi Honma¢n.m 0m.mn 00-0mmm.m 00.00:“.0 mm.mfi
“0.000n.fi H0.mom~.m 00.00 00.0mnfi.o 00+m¢0w.0 00.00
H0.m¢0m.fi 00.00mm.m 00.50 “0-0.00.0 00+w¢mm.m 00.0
00.0mmn.fi 00+0n00.fi 00.00 00-00mm.m 00+m¢mm.n 00.0
00000 0»420000 «mmHumq 00000 mp<70010 «0000m<
m¢H.m . 00H.0 + ~00.0 + 00m.m n Iposz 20HP<uomth mmmm000 2H 000z< qu
00.00mm.0 .. H0+0m0m.a . 200.000 00000 700.0400 Am<00 mm\ml :0 200.000 mmmau 04002000000n
mm402< 444 0000.0 u+0000.0 u >0mmzm moqam><
0m A «hulk 0000.0 .+0000.0 . >0mmzm m0<am>< .
om v <pm1» 0000.0 u+0000.0 u >0mmzm m0<wm>< zmHkumm mmrou JquzmmmuuHa J<F00

0F QH .>uz mH.om A¢m1sov¢fiy

APPENDIX A. 7
llle’h
1"N<d,p>15N

luN(d,pn)Y

He + X)Y

00-0000.0 00+m¢0¢.m 00.00
00.0000.0 00+0000.0 00.000 00-0000.0 00+0:¢¢.0 00.00
00.0000.0 00+0000.0 00.000 00-0000.0 00+0000.0 00.00
00.0000.0 00+0000.0 00.000 00-0000.0 00+0000.0 00.00
00.0000.0 00+0m00.0 00.000 00+u00¢.0 00+0000.0 00.00
00.0000.0 00+00¢0.0 00.000 00-0000.0 00+0000.: 00.00
Hoam~00.m Ho+mmn¢.0 0m.0:0 00-00m0.0 fio+m0Mn.m 0m.m¢
00.0000.0 00.000¢.0 00.000 00-0000.0 00+0000.m 00.00
00-0000.0 00+0¢00.0 00.000 00-0000.0 00+0000.0 00.0:
00.0000.0 00+0000.0 00.000 00+0000.0 00+0000.0 00.0:
00.0000.0 00.0000.0 00.000 00-0000.0 00.0000.0 00.00
00.0000.0 00+0000.0 00.000 00+0000.0 00+0000.0 00.00
00.000¢.0 00+0000.0 00.000 0g+0000.0 00+0000.0 00.00
00.0000.0 00.0000.0 00.000 000000.0 00+0000.0 00.00
00.0000.0 00+00¢0.0 00.000 00+0000.0 00+0000.0 00.00
00.0000.0 00+0000.0 00.000 00+0000.0 00+0000.0 00.00
00.0000.0 00+0000.0 00.000 00+0000.0 00.0000.0 00.00
Houm000.m 00+mmm0.0 00.00 uo+mufiw.w mo+m¢00.0 0m.mm
00.0000.0 00+00¢0.0 00.00 00+0q00.0 00+0000.0 00.00
00.0000.0 00+0000.0 00.00 00+0000.0 00+0000.0 00.00
00smm0m.m 00+m¢0m.m 00.00 00+0Jnm.m 00+w¢00.m 00.00
00.0000.0 00+0000.0 00.00 00+0000.¢ 00+0000.0 00.00
00.0000.0 00.0000.0 00.00 00+0n00.0 00+0000.0 00.00
00.0000.0 00+0¢00.0 00.00 00+0000.0 00+0000.0 00.00
00.0000.0 00.0000.0 00.00 00+0000.0 00+0000.0 00.0
00.0000.0 00+0000.0 00.00 00+0000.0 00+0000.¢ 00.0
00000 00(00000 «00000 n0000 00470000 «000004

0000000 20 000z< 040
00\my 20 2000000 00000 0(000 0(0020000000

m¢0.m a wm0.0 + 0w0.0 + 000.m a Iposz 7000(000020
00+0000.0 .+ 00+000:.0 . 2000000 00000 20000<00
00002< 00< 0000.0 c+ommm.00 . >01070 00400>q

00 A (001» 0000.0 .+0000.w0 a >00070 00<mm><

00 v (001» 0000.0 u+¢mmm.w0 . >00020 00<00>< .>02 0 a 00000 >00070 200 00<z0x0000<

a .>0> m0.0m 00702 0.00007

000.0 . 000.0 + 000.0 + 000.0
.+ 00+0000.0
000020 000 0000.0 .+0000.00 a
00 A (0010 0000.0 .+0000.00

00+0000.0

om v (bulk mwofl.o

00.0000.0 00+0000.0 00.000
00.0000.0 00+0000.0 00.000
00.0000.0 00+0000.0 00.000
00.0000.0 00+0000.0 00.000
00.0000.0 00+m000.m 00.000
00.0000.0 00+000 .0 00.000
00.0000.0 00+0000. 0 00.000
00.0000.0 oo+0m00.m 00.000
00.0000.0 00+0000.0 00.000
00.0000.0 00+0000.0 00.000
00.0000.0 00+0000.0 00.000
00.0000.0 00+0000.0 00.000
00.0000.0 00+0000.0 00.000
00-0000.0 00+0000.0 00.000
0oummmm.0 oo+0000.0 00.000
00.0000.0 00+0000. 0 00.000
00.0000.0 00+0000.0 00.00
00.0000.0 00+0000.0 00.00
00.0000.0 00+0000.0 00.00
00.0000.0 00+0000.0 00.00
00.0000.0 00.0000 00.00
00.0000.0 00+0000.0 00.00
00.0000.0 00+0000.0 00.00
00.0000.0 00+000 0.0 00.00
00.0000.0 00.0000. 0 00.00
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a 10020: 0000000020
0 2000000 00000 70000000
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00mm;

mmfiHHfiHHv-4:{C\O‘E

» 000000 000020

0n+m000.0
00+0000.0
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00+0000.0
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00+0000. 0
00+mmwo.m
00+00m0.m
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00+m000.0
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0o+0000.0
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0o+m000.0
00+00om.0
00+0000.0
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00+m0m0.0
00020000

0000000 20
00\0y 20 [000000 00000 00000 400020000000

o>m2 mH00m

00.00
00.00
00.00
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300 000:0x00004
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moumomm.m
moumowm.m
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moummo¢.n
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monwmmm.¢
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Hoanmm.¢
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ammmm

NHH.m . mmo.o + “$0.0 + mom.m »

00+ 0mm. H
oo+wnmn. H
oo+mnHH. m
oo+m¢oH. m
oo+momw.H
oo+mmmH.m
oo+mmoH.m
oo+momo.m
oo+mHmn.H
oo+mm¢w.H
oo+mmnm.m
oo+men.m
oo+mom¢.m
oo+mmHm.m
no+mmm c. m
OO+mHmflo m
oo+mmmm.m
oo+m:mn.m
oo+m cmm.m
OO+u IC¢N.H
oo+w3mo.m
oo+mcwo.m
oo+mHo:.m
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wkdzHQJw

mm
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B:

mm
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mm
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10X Ox 0'. 0‘. (310". O\. O\ m Ch 0‘- OI 0‘. 0x 0‘ U"~ 01 U". (f)

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IHosz 7mHH<mOMHzH

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mm402< 44< HouH.o .+mon.HH ”01m:- mo<am><
om A «HmIH mm:H.o .+¢mmm.oH u >m1mzm mu<3m><
om v «HMIH man.o u+mamH.mH a >mmm7m mmqam><

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Hoamomn.m oo+mmcm.m ¢m.Ho
Honm¢om.m oo+m¢mm.m mm.w
oo+mmHm.H oo+mmmm.m om.mm
Hm mmH.m oo+mHam.m mm.mm
Hmuw«mn.m oo+mnem.m om.o¢
Hesmeo.m oo+m¢mm.¢ mm.m
Heumm¢H.« oo+mmm¢.m om.o¢
Houmnom.m oo+m¢:¢.m cm.nm
Houmw¢c.w oo+mnm:.m mm.¢m
o-uuom.¢ oo+mm¢H.o om.mm
Houm:m¢.w uo+mcm¢.m mm.Hm
Ho-mwmm.¢ oo+mmwo.m @m.om
Ho-m¢mm.w oo+mmmH.o mm.mm
oo+mmoo.m oo+mH¢m.m cm.mm
oc+m¢:m.H oo+mmmm.w mm.mm
oo+momm.H oo+momm.m om.mm
co+momH.m Ho+mi¢H. H cm.Hm
oo+uHma.H Ho+m0¢m.H mm.mH
co+usmm.m Ho+mmmo.H mm.uH
co+u(mn.w Ho+mmoo.m mm.mH
oo+m¢oo.w Ho+mmmm.m mm.mH
oo+m¢mm.m Ho+mHmm.m cm.HH
oo+mom¢.n Ho+mm¢m.m mm.m
,m+Lvmq n Ho+mmam no.0
rmaum quzHozo «meumq

xH .>mz mH. om

mmmuomg 2H m402< m<4
zmHkumm mmmuu J<H¢» JquzmmmumHQ.

zmHHumm mmmau 4<HmH.
mHyfia‘QVHHz.

APPENDIX B

Tabulation of Differential Cross Sections and

Total Reaction Cross Sections at 20.9 MeV
16

0 Target
16 16 Page
3.1 O(d,d') o Inelastic EX < in MeV 229
B.2 160(d,uHe)luN EX < in MeV 237

227

The following pages contain listgflés of angular dis-
tributions, reaction cross sections, and total reaction
cross sections for all the processes recorded with ll‘lN
as the target. Each page has as a function of center-of-
mass angle, the center-of-mass differential cross section
in mb/sr, and the total error in mb/sr. The lab differ-
ential cross section and error are on the reverse side
of the page, listed as a function of lab angle. The ex-
citation energy of the state and error in MeV, spin, par-
ity, isotopic spin, reaction cross section and error in
mb appear with each angular distribution. The reaction
cross section was computed from the angular distribution
using

180

2n f(0)sin0 d0 (see Sec. H.H)
0

The excitation energies and errors are computed separately
on the basis of angles forward of 90°, backward from 90°,

and all angles.

APPENDIX B . l

l60(d,d') EX < 15 MeV

10Hm
moumUHc.o oo+mmmm.o 00.30H
m0-00 0.0 00+mxmm.0 m¢.mn
H0-mmmm.H H0+0omm.H nm.m¢
H0-00:n.a H0+mmsm.H mm.mm
H0-0H00.n H0+0mmm.H 00.00
HonmmoH.H oo+mwmm.m mm.mm
m0-m¢nm.¢ 00+mmHm.H mm.cm
m0 0.0000:u 00+0Hnm.¢ $0.0m
m anummmc.u o+mdmm.H mm.nm
H0-;nmm.a H0+m¢:m.n 0m.mm
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oo+momc.H mo+mmm0.H wn.mm
00+0qu.¢ 00+0¢NH.¢ 0H.0m

00+ummm.m m0+00m0.m 0H.0m

00+0HOH.0 m0+000H.m Hn.nH
Ho+mnmm.H mo+mom¢.H HH.mH
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m0.00n0.0 00+0R0s.¢ 00.0
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m0+0nmm.0 .+ m0+0HmH.m . 70HH000 00000 700F0400 iyov w0\0z yH smHHomw 00000 0<HH2000000
000024 404 :500.0 .+HH¢H.0 u >00020 00<00>a
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monmwm¢.m oo+mHmm.H 00.0mH
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Houmwmm.H oo+mmHH.n 0H.0m
H0-0H00.n 00+0000.n 0H.0m
H0-0000.m 00+0000.n 00.0H
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00+00~0.0 H0+00Hm.: 0H.0H
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msH.m u 000.H + mmH.0 + 000.H u IHosz 20HH4000H2H 0000000 /0 0 00¢ 00¢; 00 1002“
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00 v «00:» 0000.0 .+HHmH.0 >01020 00<nm><

um n p mom n 0H mmH.wu u xm .>m2 n.0m H.0sovo

233

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APPENDIX B. 2

160(d,uHe)luN EX < 15 MeV

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APPENDIX C

APPENDIX C

Procedure for Silicon Surface Barrier Detector Preparation

1. Crystal Specification

 

1.1 The resistivity and reverse bias of a pn junction
determines the thickness (W in microns) of the
charge depleted region.

WCu) = 0.5 /p{ohmcm} V{volts}
This means that one desires a high resistivity
in order to fabricate thick detectors that operate
at relatively low bias.

1.2 The carrier life time should be greater than
10.3 sec.

1.3 Uniformity

2. Sample Preparation

2.1 Cut sample from N type stock at any angle to
thickness W + 500 microns and to desired shape
with a diamond saw.

2.2 Lap sample to remove all saw cut damage as

determined by visual inspection
Lapping Procedure:

2.21 600 grit then rinse with H20
2.22 1000 grit then rinse with H20

2.23 Use 6 micron diamond wheel (use special

diamond lubricant)

.251

2.

252

Degrease sample with cotton swabs and tri-
chloroethylene, methyl alcohol, and a 30 second
etch using lHF + 3HNO3. Rinse sample completely
in H2O. (Option: not to etch one surface).

Etch sample in CP—N(3HF, SHNO 3HCOOH) for 90

33

seconds; then rinse with H O in ion-meter until

2
a reading of less than 10"6 NaCl ion count equiv-
alent~is obtained. Dry sample with N2.
Epoxy sample in a ceramic holding ring (rings are
machined from lavite and baked at lu00°.F). Use
Ciba 502 Epoxy mixed 10:1 with Ciba Hardner type
951. Allow to harden in dry atmosphere for 2h
hours.

Etch mounted sample (option: leave one surface
etched) in CP-U for 30 seconds. Rinse with H2O
in ionometer until reading less than 10.6 NaCl
equivalent is obtained.

Lay down an epoxy ring which tapers the surface

of the detector to the holder wall. See figure:

 

Ceramic

   

P type epoxy

 

N type silicon

 

 

N type epoxy
with Ciba 502 epoxy + 1% iodine by weight mixed

with Epoxylite no. 20” B Hardner

Evaporate gold and aluminum contacts.

LIST OF REFERENCES

Ba

Ba

Be

C1
C1

Di

Gi

Ha

Hi

Jo

K1

Ma

MC

Pr

Sc

Si

Sn

Sn

Tr

62

69

65

62
65
65

66

66
68
70'
6M
67
69
7O

69

59
69

69a

63

253
R. H. Bassel, R. M. Drisko, and G. R. Satchler,
ORNL 32u0

D. L. Bayer, Bulletin of APS Series 11 Vol. 1U
Num 12 (1969) 12u3

 

G. Bencze and E. Pietarinen, Phys. Letters 12
(1965) 586

C. F. Clements, Phy. Rev. 128 (1962) 272“

C. F. Clement, Nucl. Phys. 66 (1965) 2M1

J. K. Dickens and F. G. Percy, Phys. Rev. 138
(1965) B 1083
F. P. Gibson and A. K. Kerman, Phys. Rev. 1&5

(1966) 758
B. G. Harvey, et a1, Phy. Rev. 136 (1966) 712
Hinterberger, et al, Nucl. Phy. All; (1968) 570
C. Johnson, PJR Soper, PRC 1 (1970) 976

D. Klema, Nucl. Inst. and Meth. 26 (1964) 205
H. MacKenzie, E. Kashy, M. M. Gordon, and

G. Blosser, IEEE Transactions on Nuclear
Sc cience, NS— 1“ 3 (1967) 353

OCEQLTJZU’IJ

F. K. McGowan, W. T. Miller, H. J. Kim and
w. Hyatt, Nuclear Data Tables £6 (1969) 353

B. M Preedom, J. L. Snelgrove, and E. Kashy, Phys.
Rev. 91 (1970) 1132

P. Schwandt, CU Cyclotron Program Utilization
Report (1969)

Silverstein, Nucl. Inst. and Meth. 3 (1959) 53

J. L. Snelgrove and E. Kashy, Phys. Rev. 187 (1969)
1246 ———

J. L. Snelgrove and E. Kashy, Phys. Rev. 187 (1969)
1259

w. w. True, PR 1;g (1963) 1530

25M

Tr 70 G. F. Trentelman, PhD Thesis, M.S.U. (1970)

Tr 70a G. F. Trentelman and E. Kashy, Nucl. Instr. and
Meth., to be published