S-wave Pairing of Λ Hyperons in Dense Matter
Shmuel Balberg, Nir Barnea
Abstract
In this work we calculate the 1S0 gap energies of Λ hyperons in neutron star matter. The calculation is based on a solution of the BCS gap equation for an effective G-matrix parameterization of the Λ-Λ interaction with a nuclear matter background, presented recently by Lanskoy and Yamamoto. We find that a gap energy of a few tenths of MeV is expected for Λ Fermi momenta up to about 1.3 fm-1. Implications for neutron star matter are examined, and suggest the existence of a Λ 1S0 superfluid between the threshold baryon density for Λ formation and the baryon density where the Λ fraction reaches 15-20%.
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