Abstract

A theoretical study of the thermal pairing correlation as a function of temperature is performed for eveneven 148-154 Sm isotopes using Finite Temperature Bardeen-Cooper-Schrieffer (FTBCS) approach within the Relativistic Mean Field (RMF) model. Numerical results obtained at T=0 are found to be consistent with the available experimental values. Further, results show the thermal dependency of various nuclear parameters like gap parameter, pairing energy, binding energy, deformation and density. At T �0.0 MeV, the destruction of Cooper pairs and the pairing phase transition as well as shape transition is observed in 148-154 Sm nuclei at critical temperature T c�0.

Highlights

  • It is well established that the pairing correlation effect play quite an important role in the determination of most of the ground state physical properties of a nuclear system

  • The central density depends on pairing correlations

  • The temperature variation of the nuclear binding energy (B.E.), quadrupole deformation parameter ߚଶ, neutron gap parameter (∆࢔), proton gap parameter (∆࢖), pairing energy (Epair) and the nuclear density profile have been studied within the Relativistic Mean Field (RMF)+Finite Temperature Bardeen-Cooper-Schrieffer (FTBCS) model using NL3* parameter set

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Summary

INTRODUCTION

It is well established that the pairing correlation effect play quite an important role in the determination of most of the ground state physical properties of a nuclear system. It is well established that certain symmetry violations in the BCS approach may imply considerable effects while calculating various ground state nuclear properties of a finite Fermi systems, such as atomic nuclei [5,6,7,8,9,10,11,12]. The purpose of present work is to study the effect of pairing correlation on various ground state properties of atomic nuclei at finite temperature within the conventional Finite Temperature Bardeen-Cooper-Schrieffer (FTBCS) approach, i.e. temperature dependency of gap parameter [17,18,19,20,21,22,23].

RMF Formalism
RESULTS AND DISCUSSIONS
4.CONCLUSIONS
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