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Main Authors: Allard, Valentin, Chamel, Nicolas
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2506.10649
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author Allard, Valentin
Chamel, Nicolas
author_facet Allard, Valentin
Chamel, Nicolas
contents Our previous investigation within the time-dependent nuclear energy-density functional theory showed that the nuclear superfluids contained inside cold neutron stars could become gapless under certain circumstances. The absence of a gap in the energy spectrum of quasiparticle excitations leads to a specific heat that is comparable to that in the normal phase in sharp contrast with the exponential suppression in the BCS phase of type $^1S_0$ pairing. Here, we further study gapless superfluidity within the same microscopic framework focusing on hydrodynamic properties. In particular, we calculate the mass fraction transported by the normal fluid of quasiparticle excitations, and we find that it can be finite even at zero temperature. We derive an approximate analytical formula for arbitrary neutron-proton superfluid mixtures. We also present numerical results for neutron stars. Our study suggests that the dynamics of neutron stars may be much more complicated than previously thought. The realization of gapless superfluidity in neutron stars and its implications are discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2506_10649
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gapless superfluidity in neutron stars: Normal-fluid fraction
Allard, Valentin
Chamel, Nicolas
Nuclear Theory
High Energy Astrophysical Phenomena
Our previous investigation within the time-dependent nuclear energy-density functional theory showed that the nuclear superfluids contained inside cold neutron stars could become gapless under certain circumstances. The absence of a gap in the energy spectrum of quasiparticle excitations leads to a specific heat that is comparable to that in the normal phase in sharp contrast with the exponential suppression in the BCS phase of type $^1S_0$ pairing. Here, we further study gapless superfluidity within the same microscopic framework focusing on hydrodynamic properties. In particular, we calculate the mass fraction transported by the normal fluid of quasiparticle excitations, and we find that it can be finite even at zero temperature. We derive an approximate analytical formula for arbitrary neutron-proton superfluid mixtures. We also present numerical results for neutron stars. Our study suggests that the dynamics of neutron stars may be much more complicated than previously thought. The realization of gapless superfluidity in neutron stars and its implications are discussed.
title Gapless superfluidity in neutron stars: Normal-fluid fraction
topic Nuclear Theory
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2506.10649