The entrainment matrix of a superfluid nucleon mixture at finite temperatures

Abstract

It is considered a closed system of non-linear equations for the entrainment matrix of a non-relativistic mixture of superfluid nucleons at arbitrary temperatures below the onset of neutron superfluidity, which takes into account the essential dependence of the superfluid energy gap in the nucleon spectra on the velocities of superfluid flows. It is assumed that the protons condense into the isotropic ${}^1$S${}_0$ state, and the neutrons are paired into the spin-triplet ${}^3$P${}_2$ state. It is derived an analytic solution to the non-linear equations for the entrainment matrix under temperatures just below the critical value for the neutron superfluidity onset. In general case of an arbitrary temperature of the superfluid mixture the non-linear equations are solved numerically and fitted by simple formulas convenient for a practical use with an arbitrary set of the Landau parameters.

15 pages, 7 figures

References in corpus (9)

• Shear viscosity in neutron star cores
• Rapid neutrino cooling in the neutron star MXB 1659-29
• Entrainment parameters in cold superfluid neutron star core
• The entrainment matrix of a superfluid neutron-proton mixture at a finite temperature
• Temperature-dependent pulsations of superfluid neutron stars
• The relativistic entrainment matrix of a superfluid nucleon-hyperon mixture at zero temperature
• The relativistic entrainment matrix of a superfluid nucleon-hyperon mixture. II. Effect of finite temperatures
• Quasi-normal modes of superfluid neutron stars
• Nonlinear approach to the entrainment matrix of superfluid nucleon mixture at zero temperature

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• Entrainment effects in neutron-proton mixtures within the nuclear-energy density functional theory. I. Low-temperature limit
• Entrainment effects in neutron-proton mixtures within the nuclear-energy density functional theory. II. Finite temperatures and arbitrary currents
• Gapless superfluidity in neutron stars: Thermal properties
• Gapless superfluidity in neutron stars: Normal-fluid fraction
• Diffusion in superfluid Fermi mixtures: General formalism
• Vortex pinning in the superfluid core of relativistic neutron stars
• Dissipative superfluid relativistic magnetohydrodynamics of a multicomponent fluid: the combined effect of particle diffusion and vortices