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.
Keywords
Cite
@article{arxiv.0904.3467,
title = {The relativistic entrainment matrix of a superfluid nucleon-hyperon mixture at zero temperature},
author = {M. E. Gusakov and E. M. Kantor and P. Haensel},
journal= {arXiv preprint arXiv:0904.3467},
year = {2009}
}
Comments
14 pages, 4 figures, accepted for publication in Phys. Rev. C