Emergence of the geometric contribution to the superfluid density in the inner crust of neutron stars

Fuente: arXiv
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Autore principale: Almirante, Giorgio
Natura: Preprint
Pubblicazione: 2026
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author Almirante, Giorgio
author_facet Almirante, Giorgio
contents The geometric contribution to the superfluid density has been found to be of great importance in the inner crust of neutron stars. In this work we clarify how this contribution arises in the context of a band theory for neutrons. Specifically, we derive the dependence of the superfluid density on the magnitude of the pairing gap when the system has many bands cutting the Fermi energy, as it is the case for the neutrons in the inner crust. Also, in the perturbation theory framework, we find that it is essential to account for the corrections to the (Bogoliubov) quasi-particle states in order to get the geometric contribution. Accounting only for the corrections to the (Hartree-Fock) single-particle states leads to the conventional contribution only.
format Preprint
id arxiv_https___arxiv_org_abs_2603_05179
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Emergence of the geometric contribution to the superfluid density in the inner crust of neutron stars
Almirante, Giorgio
Nuclear Theory
Quantum Gases
The geometric contribution to the superfluid density has been found to be of great importance in the inner crust of neutron stars. In this work we clarify how this contribution arises in the context of a band theory for neutrons. Specifically, we derive the dependence of the superfluid density on the magnitude of the pairing gap when the system has many bands cutting the Fermi energy, as it is the case for the neutrons in the inner crust. Also, in the perturbation theory framework, we find that it is essential to account for the corrections to the (Bogoliubov) quasi-particle states in order to get the geometric contribution. Accounting only for the corrections to the (Hartree-Fock) single-particle states leads to the conventional contribution only.
title Emergence of the geometric contribution to the superfluid density in the inner crust of neutron stars
topic Nuclear Theory
Quantum Gases
url https://arxiv.org/abs/2603.05179