FFLO state with angle dependent Gap in Asymmetric Nuclear Matter

TL;DR

This paper investigates the FFLO state with an angle-dependent gap in asymmetric nuclear matter, identifying stable configurations and how asymmetry influences superfluidity, with implications for nuclear physics.

Contribution

It introduces the concept of angle-dependent gaps in FFLO states and analyzes their stability and dependence on asymmetry in nuclear matter.

Findings

Two stable FFLO-ADG states: orthogonal and parallel.

The orthogonal state is stable at low asymmetry.

The parallel state is favored at high asymmetry.

Abstract

We consider the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state with an angle dependent-gap (ADG) for the arbitrary angle \theta_0 between the direction of the Cooper pair momentum and the symmetry axis of the ADG in asymmetric nuclear matter. We find two kinds of locally stable states, i.e., the FFLO-ADG-orthogonal and FFLO-ADG-parallel states, which correspond to \theta_0=\pi/2 and \theta_0=0, respectively. Furthermore, the-FFLO-ADG-orthogonal state is located at small asymmetry, whereas the FFLO-ADG-parallel state is favored for large asymmetry. The critical isospin asymmetry \alpha_c, where the superfluid vanishes, is enhanced largely by considering the Cooper pair momentum with an ADG.