Equation of state for nuclear matter in relativistic mean-field theory and Maxwellian phase transition to strange quark matter

TL;DR

This paper develops an equation of state for superdense nuclear matter using relativistic mean-field theory, incorporating scalar-isovector meson effects, and investigates the Maxwellian phase transition to strange quark matter with implications for neutron star stability.

Contribution

It introduces a modified equation of state including scalar-isovector mesons and analyzes the phase transition to strange quark matter within an advanced MIT bag model framework.

Findings

Parameters of phase transition are affected by the -meson field.

An upper bound for the bag constant B, Bcr, is identified.

Series of equations of state for different B values are constructed.

Abstract

Equation of state for superdense nuclear matter is considered in the framework of relativistic mean-field theory, when the scalar-isovector -meson effective field is taken into account, as well. Assuming that the transition to the strange quark matter is a usual first-order phase transition described by Maxwells construction, the changes of the parameters of phase transition caused by the presence of -meson field are investigated. To describe a quark phase the advanced version of the MIT bag model is used, in which the interactions between quarks are taken into account in the one-gluon exchange approximation. For different values of the bag constant B, some series of the equations of the state of matter with deconfinement phase transition are constructed. Also the upper bound, Bcr, corresponding to the unstable state of the infinitizimal quark core in a neutron star is found.