Entrainment parameters in cold superfluid neutron star core

Abstract

Hydrodynamical simulations of neutron star cores, based on a two fluid description in terms of a neutron-proton superfluid mixture, require the knowledge of the Andreev-Bashkin entrainment matrix which relates the momentum of one constituent to the currents of both constituents. This matrix is derived for arbitrary nuclear asymmetry at zero temperature and in the limits of small relative currents in the framework of the energy density functional theory. The Skyrme energy density functional is considered as a particular case. General analytic formulae for the entrainment parameters and various corresponding effective masses are obtained. These formulae are applied to the liquid core of a neutron star, composed of an homogeneous plasma of nucleons, electrons and possibly muons in beta equilibrium.

10 pages, 7 figures. Revised version

References in corpus (16)

• A unified equation of state of dense matter and neutron star structure
• Gamow-Teller strength and the spin-isospin coupling constants of the Skyrme energy functional
• Time-odd components in the mean field of rotating superdeformed nuclei
• R-Modes in Superfluid Neutron Stars
• Slowly rotating superfluid Newtonian neutron star model with entrainment
• Variational description of multi-fluid hydrodynamics: Uncharged fluids
• Instabilities of infinite matter with effective Skyrme-type interactions
• A Relativistic Mean Field Model for Entrainment in General Relativistic Superfluid Neutron Stars
• Ferromagnetic instabilities in neutron matter at finite temperature with the Skyrme interaction
• The entrainment matrix of a superfluid neutron-proton mixture at a finite temperature
• Adiabatic oscillations of non-rotating superfluid neutron stars
• Covariant analysis of Newtonian multi-fluid models for neutron stars: I Milne-Cartan structure and variational formulation
• R-modes of neutron stars with the superfluid core
• Inertial modes of non-stratified superfluid neutron stars
• Effect of BCS pairing on entrainment in neutron superfluid current in neutron star crust
• Inertial modes of neutron stars with the superfluid core

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