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

TL;DR

This paper studies the superfluid behavior of $\Lambda$ hyperons in strange hadronic matter at finite temperature and density, analyzing how interactions affect superfluidity and identifying the critical temperature for superfluid transition.

Contribution

It introduces a systematic investigation of the effects of isoscalar-isovector cross-interaction on $\Lambda$ superfluidity within the RMF framework, including temperature dependence.

Findings

The density region and magnitude of the $\Lambda$ pairing gap depend on the cross-interaction term.

The maximum critical temperature for $\Lambda$ superfluidity is around 10^9 K.

Temperature influences the superfluid properties of $\Lambda$ hyperons.

Abstract

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.