The moment of inertia of the neutron star PSR J0348+0432 and its proto neutron star

TL;DR

This study compares the moment of inertia of the neutron star PSR J0348+0432 with its proto neutron star using relativistic mean field theory, revealing small but significant differences in their physical properties.

Contribution

It provides a detailed theoretical analysis of the differences in moment of inertia and related properties between a neutron star and its proto stage considering baryon octet effects.

Findings

Proto neutron star has 2-7% lower central baryon density.

Radius increases by 1-2% in proto neutron star.

Moment of inertia increases by 2-7% in proto neutron star.

Abstract

The difference of the moment of inertia of the neutron star PSR J0348 + 0432 and that of its proto neutron star is studied in the framework of the relativistic mean field theory considering baryon octet. The temperature of the proto neutron star PSR J0348+0432 is chosen as T=5 MeV. The calculations show that the central baryon number density of the proto neutron star PSR J0348+0432 is in the range 0.623$\sim$0.813 fm$^{-3}$, decreased by 2$\sim$7\% compared to that of the neutron star PSR J0348+0432. The radius of the proto neutron star PSR J0348+0432 is in the range 13.101$\sim$12.419 km, increased by 1$\sim$2\% compared to that of the neutron star PSR J0348+0432. The moment of inertia of the proto neutron star PSR J0348+0432 is in the range 1.939$\times$10$^{45}$$\sim$1.638$\times$10$^{45}$ g.cm$^{2}$, increased by about 2$\sim$7\% compared to that of the neutron star PSR J0348+0432.