BEC-BCS crossover driven by the axial anomaly in the NJL model

TL;DR

This paper investigates how the axial anomaly influences the phase structure of QCD in the NJL model, revealing a potential BEC-BCS crossover in the color-flavor locked phase driven by chiral-diquark interplay.

Contribution

It introduces a novel scenario where the axial anomaly induces a BEC-BCS crossover in the QCD phase diagram within the NJL model framework.

Findings

Identification of a low temperature critical point in the phase diagram.

Demonstration of a possible BEC-BCS crossover driven by the axial anomaly.

Insights into chiral-diquark interplay affecting QCD phases.

Abstract

We study the QCD phase structure in the three-flavor Nambu--Jona-Lasinio model, incorporating the chiral-diquark interplay due to the axial anomaly. We demonstrate that for a certain range of model parameters, the low temperature critical point predicted by a Ginzburg-Landau analysis appears in the phase diagram. In addition, we show that the axial anomaly presents a new scenario for a possible BEC-BCS crossover in the color-flavor locked phase of QCD.