Singlet pairing gaps of neutrons and protons in hyperonic neutron stars

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The ¹S₀ nucleonic superfluids are investigated within the relativistic mean-field model and Bardeen-Cooper-Schrieffer theory in hyperonic neutron stars. The ¹S₀ pairing gaps of neutrons and protons are calculated based on the Reid soft-core interaction as the nucleon-nucleon interaction. We have studied particularly the influence of hyperons degrees of freedom on the ¹S₀ nucleonic pairing gap in neutron star matter. It is found that the appearance of hyperons has little impact on baryonic density range and size for the ¹S₀ neutronic pairing gap, the ¹S₀ protonic pairing gap also decreases slightly in this region ρB=0.0-0.393 fm⁻³. However, if baryonic density becomes greater than 0.393 fm⁻³, the ¹S₀ protonic pairing gap obviously increases. In addition, the protonic superfluid range is obviously enlarged due to the presence of hyperons. In our results, the hyperons change the ¹S₀ protonic pairing gap which must change the cooling properties of neutron stars.