BCS-BEC Crossover in Symmetric Nuclear Matter at Finite Temperature: Pairing Fluctuation and Pseudogap

TL;DR

This paper investigates the BCS-BEC crossover in symmetric nuclear matter at finite temperature, highlighting the role of pairing fluctuations and the pseudogap, and analyzing thermodynamic properties across different densities.

Contribution

It introduces a $T$-matrix based method within the $G_0G$ approximation to study pairing fluctuations and their effects on the crossover and thermodynamics.

Findings

Pairing fluctuations induce a pseudogap in the excitation spectrum.

Critical temperature deviates from BCS predictions at low density.

Specific heat behavior transitions from BEC-like to BCS-like with increasing density.

Abstract

By adopting a $T$-matrix based method within $G_0G$ approximation for the pair susceptibility, we studied the effects of pairing fluctuation on the BCS-BEC crossover in symmetric nuclear matter. The pairing fluctuation induces a pseudogap in the excitation spectrum of nucleon in both superfluid and normal phases. The critical temperature of superfluid transition was calculated. It differs from the BCS result remarkably when density is low. We also computed the specific heat which shows a nearly ideal BEC type temperature dependence at low density but a BCS type behavior at high density. This qualitative change of the temperature dependence of specific heat may serve as a thermodynamic signal for BCS-BEC crossover.