Nucleonic 1S0 Superfluidity Induced by a Soft Pion in Neutron Star Matter with Antikaon Condensations*

Abstract

The nucleonic 1 S 0 superfluidity is investigated by solving the gap equation for the Reid soft-core potential as the nucleon–nucleon interaction in neutron star (NS) matter which is considered to be made up of n, p, e, μ and condensed antikaon matter. We mainly study the influence of the soft pion-induced potential on the nucleonic 1 S 0 pairing gaps in the above NS matter. It is found that the intensities of the nucleonic 1 S 0 pairing gaps including the soft pion-induced potential are smaller than those calculated in the case of not including the soft pion-induced potential. Furthermore, the nucleonic 1 S 0 pairing gaps with the soft pion-induced potential fall into decline with the deepening of the optical potential of antikaons in the above NS matter, whereas they increase with the parameter η for the fixed optical potential of antikaons. Due to the appearance of the soft pion-induced potential, the maximum values of nucleonic 1 S 0 pairing gaps at parameter η = 0.20, 0.55 are suppressed by 1.7%–6.8% with respect to the case without soft pion-induced potential in the above NS matter.