On the moment of inertia of PSR J0348+0432

TL;DR

This paper estimates the moment of inertia and radius of the massive neutron star PSR J0348+0432 using relativistic mean field theory, aligning with observational data and highlighting the role of hyperons in neutron star models.

Contribution

It provides new estimates of the neutron star's moment of inertia and radius within a relativistic framework, considering hyperon interactions and matching observational constraints.

Findings

Radius range: 12.957 to 12.246 km

Moment of inertia range: 1.9073×10^{45} to 1.5940×10^{45} g·cm^2

Models can predict maximum masses above 2 M_sun with suitable parameters

Abstract

The moment of inertia of the massive neutron star PSR J0348+0432 is studied in the framework of the relativistic mean field theory by choosing suitable hyperon coupling constants. By this method, we find that the suggested radius of the massive neutron star PSR J0348+0432 is in the range $R=12.957\sim12.246$ km by the observation $M$=1.97$\sim$2.05 M$_\odot$. We also find that the suggested moment of inertia $I$ of the massive neutron star PSR J0348+0432 is in the range $I$=1.9073$\times$10$^{45}\sim$1.5940$\times10^{45}$ g.cm$^{2}$ by the observation $M$=1.97$\sim$2.05 M$_\odot$. Massive pulsars hint that the interaction inside them should be very "strong". Though hyperons considered will reduce the maximum mass, but in principle we may have models predicting maximum masses higher than 2 M${_\odot}$ by choosing suitable parameters, in a degree of freedom of hadron. Our calculations have proved the above and perfectly agree with the results both of Aaron W et al and P\'etri J et al.