Thermal kaons production in the relativistic heavy ions collision

We study the thermal production of kaons in hot and dense symmetric and asymmetric hypernuclear matter in the context of the modified quark-meson coupling model. All the baryon species and kaons are treated as MIT bags that interact with each other via the scalar mesons $\sigma,\sigma^*$ and the vector mesons $\omega,\phi$ as well as the isovector meson $\rho$. Furthermore, in our calculations, we use realistic sets of hyperon-hyperon (or $YY$) interactions based on several versions of Nijmegen core potential models. We consider a system of strange hadronic matter and kaons but with zero total net strangeness of the system and conserved small negative fraction of the isospin-charge. We find strange baryons as well as kaons are produced abundantly when the temperature increases and approaches the critical temperature for the phase transition to the quark-gluon plasma. Our results show that the kaons are produced only thermally in the symmetric and asymmetric hypernuclear matter and there is no signature for the onset of kaon condensation in the relativistic heavy ions collision. The kaons appear in the system only by thermal production. However, when the system cools down strange hadrons could survive.