The relativistic entrainment matrix of a superfluid nucleon-hyperon mixture at zero temperature

Abstract

We calculate the relativistic entrainment matrix Y_ik at zero temperature for nucleon-hyperon mixture composed of neutrons, protons, Lambda and Sigma^- hyperons, as well as of electrons and muons. This matrix is analogous to the entrainment matrix (also termed mass-density matrix or Andreev-Bashkin matrix) of non-relativistic theory. It is an important ingredient for modelling the pulsations of massive neutron stars with superfluid nucleon-hyperon cores. The calculation is done in the frame of the relativistic Landau Fermi-liquid theory generalized to the case of superfluid mixtures; the matrix Y_ik is expressed through the Landau parameters of nucleon-hyperon matter. The results are illustrated with a particular example of the sigma-omega-rho mean-field model with scalar self-interactions. Using this model we calculate the matrix Y_ik and the Landau parameters. We also analyze stability of the ground state of nucleon-hyperon matter with respect to small perturbations.

14 pages, 4 figures, accepted for publication in Phys. Rev. C

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• Transport equations and linear response of superfluid Fermi mixtures in neutron stars
• Entrainment effects in neutron-proton mixtures within the nuclear-energy density functional theory. I. Low-temperature limit
• Nonlinear approach to the entrainment matrix of superfluid nucleon mixture at zero temperature
• Resonance suppression of the r-mode instability in superfluid neutron stars: Accounting for muons and entrainment
• Transport coefficients of magnetized neutron star cores
• Slowly rotating superfluid neutron stars with isospin dependent entrainment in a two-fluid model
• Diffusion in superfluid Fermi mixtures: General formalism
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• Dissipative superfluid relativistic magnetohydrodynamics of a multicomponent fluid: the combined effect of particle diffusion and vortices