Meson effect in the proto neutron star PSR J0348+0432

TL;DR

This paper investigates how specific mesons affect the physical properties of the proto neutron star PSR J0348+0432, revealing their impact on energy density, pressure, radius, and moment of inertia within a relativistic mean field framework.

Contribution

It provides a detailed analysis of the individual and combined effects of mesons $f_{0}(975)$, $ ext{ }\phi(1020)$, and $ ext{ }\delta$ on neutron star properties, which is a novel application in this context.

Findings

Mesons $f$, $ ext{ }\phi$, and $ ext{ }\delta$ alter energy density and pressure.

Considering all mesons decreases radius and moment of inertia.

Mesons $f$ and $ ext{ }\phi$ have a larger impact on moment of inertia than $ ext{ }\delta$.

Abstract

The effect of mesons $f_{0}(975)$ (named as $f$), $\phi(1020)$ (named as $\phi$) and $\delta$ on the moment of inertia of the PNS PSR J0348+0432 is examined in the framework of the relativistic mean field theory considering the baryon octet. It is found that the energy density $\varepsilon$ and pressure $p$ will increase considering the mesons $\delta$ whereas will decrease as the mesons $f$ and $\phi$ being considered. When the mesons $f, \phi$ and $\delta$ are considered, the energy density and pressure will all decrease. It is also found that the contribution of mesons $f$, $\phi$ and $\delta$ to the central energy density is only the central energy density's 0.06$\sim$0.6\% whereas the contribution of mesons $f$, $\phi$ and $\delta$ to the central pressure is the central pressure's 4$\sim$7\%. For the radius, it will decrease when the contributions of mesons $f$, $\phi$ and $\delta$ are considered. The moment of inertia $I$ will increase considering the mesons $\delta$ whereas will decrease as the mesons $f$ and $\phi$ being considered. When the mesons $f$, $\phi$ and $\delta$ are all considered, the moment of inertia will decrease. It is found that the contribution of mesons $f$ and $\phi$ to moment of inertia is 4$\sim$9 times larger than that of mesons $\delta$. Our results show that the mesons $f$, $ \phi$ and $\delta$ contribute to the moment of inertia's 2$\sim$5\%.