Statistical pairing fluctuation and phase transition in $^{94}Mo$

TL;DR

This paper investigates the effects of statistical fluctuations on the thermodynamical properties of the $^{94}Mo$ nucleus within the BCS model, revealing a smooth phase transition signature instead of a sharp one.

Contribution

It introduces the application of isothermal probability distribution to account for fluctuations in nuclear thermodynamics within the BCS framework.

Findings

Heat capacity shows smooth behavior with temperature.

A smooth peak indicates a transition from normal to superfluid phase.

Results align with experimental data and other models.

Abstract

In the framework of BCS model, we have applied the isothermal probability distribution to take into account the statistical fluctuations in calculation of thermodynamical properties of nuclei. The energy and the heat capacity are calculated in $^{94}Mo$ nucleus using the mean gap parameter. The results are compared with the values obtained based on the most probable values, experimental data as well as some other theoretical models. We have shown that heat capacity versus temperature behaves smoothly instead of singular behaviour predicted by the standard BCS model. Also a smooth peak in heat capacity is observed which is a signature of transition from normal to super fluid phase.