Superfluidity of ${\Sigma }^{-}$ hyperons in $\beta$-stable neutron star matter

Abstract

In this work we evaluate the ${}^1{S}_0$ energy gap of ${\Sigma }^{-}$ hyperons in $\beta$-stable neutron star matter. We solve the BCS gap equation for an effective ${\Sigma }^{-}{\Sigma }^{-}$ pairing interaction derived from the most recent parametrization of the hyperon-hyperon interaction constructed by the Nijmegen group. We find that the ${\Sigma }^{-}$ hyperons are in a ${}^1{S}_0$ superfluid state in the density region $\sim 0.27-0.7$ fm${}^{-3}$, with a maximum energy gap of order 8 MeV at a total baryon number density of $\sim 0.37$ fm${}^{-3}$ and a ${\Sigma }^{-}$ fraction of about 8%. We examine the implications on neutron star cooling.

4 pages, double column, 4 figures. Accepted in PRC

References in corpus (14)

• Soft-core hyperon-nucleon potentials
• Pairing in nuclear systems: from neutron stars to finite nuclei
• Soft-core baryon-baryon potentials for the complete baryon octet
• Properties of Strange Hadronic Matter in Bulk and in Finite Systems
• Hyperon-hyperon interactions and properties of neutron matter
• Effect of hyperon bulk viscosity on neutron-star r-modes
• Constraints on $\Sigma$ Nucleus Dynamics from Dirac Phenomenology of ${\Sigma }^{-}$ Atoms
• Prospects of Detecting Baryon and Quark Superfluidity from Cooling Neutron Stars
• Thermal Evolution of Compact Stars
• Model--space approach to ${}^1{S}_0$ neutron and proton pairing with the Bonn meson--exchange potentials
• S-wave Pairing of $\Lambda$ Hyperons in Dense Matter
• Implications of Hyperon Pairing for Cooling of Neutron Stars
• Geminga: A Cooling Superfluid Neutron Star
• Muons and emissivities of neutrinos in neutron star cores

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• Superfluidity of $\Lambda$ hyperons in neutron stars
• The relativistic entrainment matrix of a superfluid nucleon-hyperon mixture at zero temperature
• Type I and Two-Gap Superconductivity in Neutron Star Magnetism
• The relativistic entrainment matrix of a superfluid nucleon-hyperon mixture. II. Effect of finite temperatures
• Damping of sound waves in superfluid nucleon-hyperon matter of neutron stars
• Unconventional rotational responses of hadronic superfluids in a neutron star caused by strong entrainment and a ${\Sigma }^{-}$ hyperon gap
• Comment on Phys. Rev. B 83, 054515 (2011) by V. G. Kogan and J. Schmalian and comment on their reply Phys. Rev. B 86, 016502 (2012)
• Cooling of hypernuclear compact stars: Hartree-Fock models and high-density pairing
• Transport coefficients of hyperonic neutron star cores
• Superfluidity of $\Lambda$ hyperons in warm strange hadronic star matter