Influence of Hyperon on ¹S₀ Superfluidity of Nucleons in Neutron Star Matter

We investigate the property of ¹S₀ superfluidity of neutrons and protons in the neutron star matter. On the basis of the result, we study the effects of hyperons on the ¹S₀ pairing gaps of the two species of the particles. The parameter sets we use are for the Hartree approximation of the relativistic σ-ω model and the mean field approximation of the Walecka model, respectively. The predicted domain of superfluidity is very close to other works, whereas differences appear in the predicted value of the maximum gap. It is found that Σ^-, Λ and Ξ^- have some influences, the scales of which depend on hyperon-meson coupling constants we use besides other factors, on the ¹₀ superfluidity of protons in some density range, and do not have influence on superfluidity of neutrons. Other hyperons have no influence on the ¹S₀ superfluidity of neutron and proton due to these hyperons appearing after ¹S₀ neutron and proton pairs disappear.