Superfluidity of $\Lambda$ hyperons in neutron stars

Abstract

We study the ${}^1{S}_0$ superfluidity of $\Lambda$ hyperons in neutron star matter and neutron stars. We use the relativistic mean field (RMF) theory to calculate the properties of neutron star matter. In the RMF approach, the meson-hyperon couplings are constrained by reasonable hyperon potentials that include the updated information from recent developments in hypernuclear physics. To examine the ${}^1{S}_0$ pairing gap of $\Lambda$ hyperons, we employ several $\Lambda \Lambda$ interactions based on the Nijmegen models and used in double-$\Lambda$ hypernuclei studies. It is found that the maximal pairing gap obtained is a few tenths of a MeV. The magnitude and the density region of the pairing gap are dependent on the $\Lambda \Lambda$ interaction and the treatment of neutron star matter. We calculate neutron star properties and find that whether the ${}^1{S}_0$ superfluidity of $\Lambda$ hyperons exists in the core of neutron stars mainly depends on the $\Lambda \Lambda$ interaction used.

22 pages, 2 Tables, 6 Figure

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