Equation of State table with hyperon and antikaon for supernova and neutron star merger

Abstract

We develop a new equation of state (EoS) table involving thermal (anti)kaons, Bose-Einstein condensate of $K^{-}$ mesons and $\Lambda$-hyperons for core-collapse supernova and neutron star merger simulations. This EoS table is based on a finite temperature density-dependent relativistic hadron field theory where baryon-baryon interaction is mediated by scalar $\sigma$, vector $\omega$ and $\rho$ mesons, using the parameter set DD2 for nucleons. The repulsive hyperon-hyperon interaction is mediated by an additional strange $\phi$ meson. The EoS for the $K^-$ condensed matter is also calculated within the framework of relativistic mean field model, whereas the low-density, inhomogeneous matter is calculated in the extended Nuclear Statistical Equilibrium model (NSE). The EoS table is generated for a wide range of values of three parameters - baryon density ($10^{-12}$ to $\sim$ 1 fm$^{-3}$), positive charge fraction(0.01 to 0.60) and temperature(0.1 to 158.48 MeV).