{ "id": "2006.03676", "version": "v1", "published": "2020-06-05T20:47:02.000Z", "updated": "2020-06-05T20:47:02.000Z", "title": "Studying the parameters of the extended $σ$-$ω$ model for neutron star matter", "authors": [ "David Alvarez-Castillo", "Alexander Ayriyan", "Gergely Gábor Barnaföldi", "Hovik Grigorian", "Péter Pósfay" ], "comment": "14 pages, 15 figures, 2 tables", "categories": [ "astro-ph.HE", "hep-ph", "nucl-th" ], "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 best values of the Landau mass of $m_L \\approx 0.73$ GeV, 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 $