Superfluidity of $\Lambda$ hyperons in warm strange hadronic star matter

In this work we evaluate the $^1S_0$ superfluidity of $\Lambda$ hyperons in $\beta$-stable strange hadronic matter. We investigate the equation of state (EOS) of hadronic matter at finite values of baryon density and temperature in the relativistic mean field (RMF) theory. Effects of the introduced isoscalar-isovector cross-interaction term on the $\Lambda$ superfluidity are investigated systematically. In addition, the temperature effects on the superfluidity of $\Lambda$ hyperons in hadronic matter are discussed. It is found that the density region and the magnitude of the $\Lambda$ pairing gap are dependent on the cross-interaction term. The obtained maximal critical temperature of $\Lambda$ superfluid is around $10^9$ K.