Studying the entropy excess and entropy excess ratio in (105,106,107)Pd within BCS model

TL;DR

This study uses the BCS model to analyze pairing correlations, nuclear level densities, and entropy excess ratios in Pd isotopes, aligning well with experimental data and exploring neutron-proton contributions.

Contribution

It introduces a detailed analysis of entropy excess and ratios in Pd isotopes within the BCS framework, incorporating neutron and proton effects.

Findings

Results agree with empirical nuclear level densities.

Entropy excess varies with temperature.

Neutron and proton contributions to entropy excess are distinguished.

Abstract

Pairing correlations and their influence on nuclear properties has been studied within BCS model. Using this theoretical model with inclusion of pairing interaction between nucleons, nuclear level density and entropy of Pd(105,106,107) have been extracted. The results well coincide with the empirical values of the nuclear level densities obtained by Oslo group. Then the entropy excess of Pd107 and Pd105 compared to Pd106 as a function of the temperature has been studied. Also the role of neutron and proton system in entropy excess have been investigated by the using of the entropy excess ratio proposed by Razavi et al. [R. Razavi, A.N. Behkami, S. Mohammadi, and M. Gholami, Phys. Rev. C 86, 047303 (2012)].