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

Apr, 2009
14 pages
Published in:
  • Phys.Rev.C 79 (2009) 055806
e-Print:

Citations per year

200920132017202120230123456
Abstract: (arXiv)
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.
  • 97.10.Sj
  • 97.60.Jd
  • 26.60.Kp
  • 47.37.+q
  • ground state: stability
  • nucleon hyperon: interaction
  • superfluid
  • temperature
  • neutron star
  • Fermi liquid