Temperature dependent pairing gap in nuclei

Abstract

Based on theoretical models and experimental evidences of a soft phase transition, with significant, but not abrupt changes in pairing gap of nuclei, a modified pairing gap function was suggested and examined for some of nuclei in our previous publications. Now, we propose a new method to extract the parameters, which exist in the modified pairing gap function. This method is based on phenomenological models, which consider the small size of nuclei and the effect of thermal fluctuations, at the vicinity of the critical temperature. The obtained pairing gap function by this method is easily applicable in the microscopic model calculations within an entire temperature range, from zero to temperatures above the critical point.