1S0 Pairing Gaps, Chemical Potentials and Entrainment Matrix in Superfluid Neutron-Star Cores for the Brussels–Montreal Functionals

Allard, Valentin; Chamel, Nicolas

doi:10.3390/universe7120470

Open AccessArticle

¹S₀ Pairing Gaps, Chemical Potentials and Entrainment Matrix in Superfluid Neutron-Star Cores for the Brussels–Montreal Functionals

by

Valentin Allard

and

Nicolas Chamel

^*

Institute of Astronomy and Astrophysics, Université Libre de Bruxelles, CP 226, Boulevard du Triomphe, 1050 Brussels, Belgium

^*

Author to whom correspondence should be addressed.

Universe 2021, 7(12), 470; https://doi.org/10.3390/universe7120470

Submission received: 1 October 2021 / Revised: 23 November 2021 / Accepted: 25 November 2021 / Published: 30 November 2021

(This article belongs to the Special Issue Superfluidity and Superconductivity in Neutron Stars)

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Abstract

Temperature and velocity-dependent

^{1}

S

_{0}

pairing gaps, chemical potentials and entrainment matrix in dense homogeneous neutron–proton superfluid mixtures constituting the outer core of neutron stars, are determined fully self-consistently by solving numerically the time-dependent Hartree–Fock–Bogoliubov equations over the whole range of temperatures and flow velocities for which superfluidity can exist. Calculations have been made for

n p e μ

in beta-equilibrium using the Brussels–Montreal functional BSk24. The accuracy of various approximations is assessed and the physical meaning of the different velocities and momentum densities appearing in the theory is clarified. Together with the unified equation of state published earlier, the present results provide consistent microscopic inputs for modeling superfluid neutron-star cores.

Keywords: neutron star; superfluidity; pairing gap; entrainment; chemical potential; equation of state

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MDPI and ACS Style

Allard, V.; Chamel, N. ¹S₀ Pairing Gaps, Chemical Potentials and Entrainment Matrix in Superfluid Neutron-Star Cores for the Brussels–Montreal Functionals. Universe 2021, 7, 470. https://doi.org/10.3390/universe7120470

AMA Style

Allard V, Chamel N. ¹S₀ Pairing Gaps, Chemical Potentials and Entrainment Matrix in Superfluid Neutron-Star Cores for the Brussels–Montreal Functionals. Universe. 2021; 7(12):470. https://doi.org/10.3390/universe7120470

Chicago/Turabian Style

Allard, Valentin, and Nicolas Chamel. 2021. "¹S₀ Pairing Gaps, Chemical Potentials and Entrainment Matrix in Superfluid Neutron-Star Cores for the Brussels–Montreal Functionals" Universe 7, no. 12: 470. https://doi.org/10.3390/universe7120470

APA Style

Allard, V., & Chamel, N. (2021). ¹S₀ Pairing Gaps, Chemical Potentials and Entrainment Matrix in Superfluid Neutron-Star Cores for the Brussels–Montreal Functionals. Universe, 7(12), 470. https://doi.org/10.3390/universe7120470

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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¹S₀ Pairing Gaps, Chemical Potentials and Entrainment Matrix in Superfluid Neutron-Star Cores for the Brussels–Montreal Functionals

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