Maximum Mass of the Hot Neutron Star with the Quark Core

TL;DR

This study investigates the maximum mass of hot neutron stars containing a quark core by modeling the equation of state for different phases and comparing structural properties with neutron stars lacking a quark core.

Contribution

It introduces a comprehensive approach combining the MIT bag model and LOCV formalism to analyze hot neutron stars with quark cores, highlighting differences in maximum mass.

Findings

Maximum mass of hot neutron star with quark core differs significantly from without.

Equation of state for mixed phase under Gibbs conditions was determined.

Structural differences observed between stars with and without quark cores.

Abstract

We have considered a hot neutron star with a quark core, a mixed phase of quark-hadron matter, and a hadronic matter crust and have determined the equation of state of the hadronic phase and the quark phase, we have then found the equation of state of the mixed phase under the Gibbs conditions. Finally, we have computed the structure of hot neutron star with the quark core and compared our results with those of the neutron star without the quark core. For the quark matter calculations, we have used the MIT bag model in which the total energy of the system is considered as the kinetic energy of the particles plus a bag constant. For the hadronic matter calculations, we have used the lowest order constrained variational (LOCV) formalism. Our calculations show that the results for the maximum gravitational mass of the hot neutron star with the quark core are substantially different from those of without the quark core.