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$^1$S$_0$ pairing gaps, chemical potential and entrainment matrix in superfluid neutron-star cores for the Brussels-Montreal functionals

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arxiv 2203.08778 v1 pith:IIC2M7E6 submitted 2022-03-16 nucl-th astro-ph.HE

classification nucl-thastro-ph.HE
keywords superfluidbrussels-montrealchemicalcoresentrainmentgapsmatrixneutron-star
verification ladder T0 review T1 audit T2 compute T3 formal

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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 $npe\mu$ 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.

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  1. Non-purely transverse Magnus force in superconducting neutron stars

    astro-ph.HE 2025-05 conditional novelty 6.0 of 10

    In the idealized extreme type-II limit, the force on a proton vortex core is exactly the Magnus force evaluated with a corrected local proton current, yielding a longitudinal force component usually omitted.

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