Angular momentum dependence of the nuclear level density parameter

Abstract

Dependence of nuclear level density parameter on the angular momentum and temperature is investigated in a theoretical framework using the statistical theory of hot rotating nuclei. The structural effects are incorporated by including shell correction, shape, and deformation. The nuclei around $Z\ensuremath{\approx}50$ with an excitation energy range of $30$ to $40$ MeV are considered. The calculations are in good agreement with the experimentally deduced inverse level density parameter values especially for $^{109}\mathrm{In}$, $^{113}\mathrm{Sb}$, $^{122}\mathrm{Te}$, $^{123}\mathrm{I}$, and $^{127}\mathrm{Cs}$ nuclei.