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

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,whereasthevaluesof$K_0$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${}_{\odot }$.