Accreting neutron stars in low-mass X-ray binaries show outflows-and sometimes jets-in the general manner of accreting black holes. However, the quantitative link between the accretion flow (traced by X-rays) and outflows and/or jets (traced by radio emission) is much less well understood for neutron stars than for black holes because of observational challenges. Their distances are generally unknown or poorly constrained and black holes tend to be radio brighter, therefore limiting the ability to draw accurate conclusions about the physics of neutron star's accretion. Despite the challenge, radio continuum studies of neutron stars are needed to understand their broad range of physical properties that are likely to affect their jets/outflows.In this thesis, we use data from the radio continuum survey, MAVERIC and Swift/XRT and Chandra X-ray Telescope to do a systematic study of accreting neutron star X-ray binaries in globular clusters to understand the connection of their jets and accretion disk. We first explore the behaviors of eight persistently accreting neutron star X-ray binaries. In this work, we show that these neutron stars show an even larger range in radio luminosity than previously observed and do not follow a single relation between inflow and outflow. Next, we delve further into a peculiar source from our first study, X1850-087 that showed extreme radio variability within a short time-scale. Lastly, we present our work on imaging seven globular clusters taken as the final observations of the MAVERIC Survey, along with a radio source catalog of NGC 6522.
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