Examination of the influence of the f$_{0}$(975) and $\phi$(1020) mesons on the surface gravitional redshift of the neutron star PSR J0348+0432

TL;DR

This study investigates how the mesons $f_{0}(975)$ and $(1020)$ influence the surface gravitational redshift and radius of neutron star PSR J0348+0432 using relativistic mean field theory, revealing their limited impact.

Contribution

It introduces the consideration of specific mesons in modeling neutron star properties, showing their effect on the constraints of radius and redshift.

Findings

Inclusion of mesons widens the radius and redshift ranges.

Mesons have a minor effect on the neutron star's key parameters.

Radius and redshift differences are small regardless of meson consideration.

Abstract

The effect of the mesons $f_{0}(975)$ and $\phi(1020)$ on the surface gravitional redshift of the neutron star PSR J0348+0432 is examined in the framework of the relativistic mean field theory by choosing the suitable hyperon coupling constants. We find that compared with that without considering the mesons $f_{0}(975)$ and $\phi(1020)$, the value range of the radius $R$ of the neutron star PSR J0348+0432 would be changed from a narrow range 12.964 km $\sim$ 12.364 km to a wider range 12.941 km $\sim$ 11.907 km corresponding to the observation mass M=1.97 M$_{\odot}$$\sim$2.05 M$_{\odot}$. We also find that the value range of the surface gravitational redshift $z$ of the neutron star PSR J0348+0432 changes from 0.3469 $\sim$ 0.3997 to 0.3480 $\sim$ 0.4263 corresponding to the observation mass M=1.97 M$_{\odot}$$\sim$2.05 M$_{\odot}$ as the mesons $f_{0}(975)$ and $\phi(1020)$ being considered. These mean the radius $R$ and the surface gravitational redshift $z$ all will be constrained in a wider scope as the mesons $f_{0}(975)$ and $\phi(1020)$ being considered. We also can see that the difference of the radius and the surface gravitational redshift is not so large whether the mesons $f_{0}(975)$ and $\phi(1020)$ being considered or not. This indicates that the mesons $f_{0}(975)$ and $\phi(1020)$ do not play a major role in the massive neutron star PSR J0348+0432.