Microscopic study of

A microscopic analysis of the nuclear structure of the odd-mass 117Te has been carried out using the theoretical framework of the Projected Shell Model (PSM). The tellurium isotopes lie in a transitional region near the closed proton shell at Z=50, where the coupling between individual particle motion and collective nuclear dynamics plays a crucial role. The present study focuses on the description of negative-parity yrast band structures, energy spectra, back-bending behavior, and reduced electric quadrupole transition probabilities B(E2). The calculated results, show close consistency when compared with the experimental observations, successfully reproducing the band-head spins, yrast energies, and the observed back-bending at spin 19/2−. The calculated B(E2) values exhibit an rising trend with spin, indicating enhanced collectivity and nuclear deformation. Present work demonstrates the efficacy of the PSM in modeling the structure of deformed odd-A isotopes.