Superfluidity of $Σ^-$ hyperons in $β$-stable neutron star matter

Details Superfluidity of $Σ^-$ hyperons in $β$-stable neutron star matter Superfluidity of $Σ^-$ hyperons in $β$-stable neutron star matter

2004-05-05

arxiv.org/abs/nucl-th/0405010v2

Phys.Rev. C70 (2004) 028802

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1103/PhysRevC.70.028802

In this work we evaluate the $^1S_0$ 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 $^1S_0$ 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.

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