Nuclear superfluidity in isospin asymmetric matter within the Skyrme model

TL;DR

This paper investigates nuclear superfluidity in asymmetric matter using the Skyrme model, analyzing phase diagrams, pairing gaps, and the absence of a BCS-BEC crossover across various densities, asymmetries, and temperatures.

Contribution

It provides a unified treatment of particle-hole and particle-particle channels in the Skyrme model for superfluid phases in asymmetric nuclear matter.

Findings

Analyzed superfluid phase diagram across densities, asymmetries, and temperatures.

Solved the gap equation for all accessible conditions.

Found no evidence of a BCS-BEC crossover within the scheme.

Abstract

The phase diagram of the superfluid phase coupled to spin singlet (S=0) and isospin triplet (T=1) states in infinite nuclear matter is analyzed within the nonrelativistic Skyrme model. We use an approach that allows a unified and consistent treatment of the particle-hole and particle-particle channels. The gap equation is solved for the full range of accessible densities, isospin asymmetries, and temperatures. The characteristic features of each of the components Tz=0, +1, -1 are emphasized. The search for signatures of a BCS-BEC crossover yields negative results within the scheme proposed.