Superfluid properties of the inner crust of neutron stars. II. Wigner-Seitz cells at finite temperature

TL;DR

This paper studies how superfluid properties of neutron star inner crusts vary with temperature, pairing interactions, and force ranges, providing insights into thermal behavior using advanced models.

Contribution

It extends previous models to include finite temperature effects and compares different pairing interactions to understand their impact on crust thermal properties.

Findings

Temperature influences superfluid characteristics significantly.

Different pairing forces alter the specific heat and thermal responses.

Range and strength of pairing interactions affect the crust's thermal behavior.

Abstract

We investigate the superfluid properties of the inner crust of neutron stars at finite temperature for different pairing functionals. We generalize the formalism adopted in previous article to include the effect of the temperature to calculate the specific heat of each given Wigner-Seitz cell. The calculations are done for two pairing forces, Gogny D1 and $V_{\text{low-k}}$, with finite range and a density dependent contact interaction. We compare in such a way the effect of the pairing strength and of the range on the thermal properties of the inner crust.