Studying the parameters of the extended $\sigma$-$\omega$ model for neutron star matter

TL;DR

This study uses Bayesian analysis of multi-messenger astronomy data to constrain parameters of the extended sigma-omega model for neutron star matter, providing estimates for key nuclear parameters and neutron star properties.

Contribution

It introduces a Bayesian framework to estimate model parameters of neutron star matter using observational data, refining known nuclear and astrophysical constraints.

Findings

Landau mass estimated at 739±17 MeV

Neutron star radius for 1.4 solar masses between 13-13.5 km

Maximum neutron star mass around 2.2 solar masses

Abstract

In this work we study the parameters of the extended $\sigma$-$\omega$ model for neutron star matter by a Bayesian analysis on state-of-the-art multi-messenger astronomy observations, namely mass, radius and tidal deformabilities. We have considered three parameters of the model, the Landau mass $m_L$, the nuclear compressibility $K_0$, and the value of the symmetry energy $S_0$, all at saturation density $n_0$. As a result, we are able to estimate the values of the Landau mass of f $m_L = 739\pm17$ MeV, whereas the values of $K_0$ and $S_0$ fall within already known empirical values. Furthermore, for neutron stars we find the most probable value of 13 km $<R_{1.4}<$ 13.5 km and the upper mass limit of $M_{max} \approx 2.2$ M$_{\odot}$.