The luminosity functions of kilonovae from binary neutron star mergers under different equation of states

Abstract Kilonovae produced by mergers of binary neutron stars (BNSs) are important transient events to be detected by time domain surveys with the alerts from the ground-based gravitational wave detectors. The observational properties of these kilonovae depend on the physical processes involved in the merging processes and the equation of state (EOS) of neutron stars (NSs). In this paper, we investigate the dependence of kilonova luminosities on the parameters of BNS mergers, and estimate the distribution functions of kilonova peak luminosities (KLFs) at the u-, g-, r-, i-, y-, and z-bands as well as its dependence on the NS EOS, by adopting a comprehensive semi-analytical model for kilonovae (calibrated by the observations of GW170817), a population synthesis model for the cosmic BNSs, and the ejecta properties of BNS mergers predicted by numerical simulations. We find that the kilonova light curves depend on both the BNS properties and the NS EOS, and the KLFs at the considered bands are bimodal with the bright components mostly contributed by BNS mergers with total mass ≲ 3.2 M⊙/2.8 M⊙ and fainter components mostly contributed by BNS mergers with total mass ≳ 3.2 M⊙/2.8 M⊙ by assuming a stiff/soft (DD2/SLy) EOS. The emission of the kilonovae in the KLF bright components are mostly due to the radiation from the wind ejecta by the remnant disks of BNS mergers, while the emission of the kilonovae in the KLF faint components are mostly due to the radiation from the dynamical ejecta by the BNS mergers.