Self-consistent Understanding of Nuclear Experiments and Astrophysical Observations Based on Relativistic Mean-Field Models with Isoscalar and Isovector-Meson Mixing

Using the relativistic mean-field model with nonlinear couplings between the isoscalar and isovector mesons, we study the ground-state properties of finite, closed-shell nuclei as well as the characteristics of nuclear and neutron star matter. It is found that the isovector, scalar ( \(\delta \) ) meson and the \(\sigma \) - \(\delta \) mixing increase the neutron skin thickness, \(R_\textrm{skin}\) , of \(^{208}\) Pb. In contrast, the \(\sigma \) – \(\delta \) mixing reduces the radius and tidal deformability of a neutron star. Thus, the present calculation can simultaneously account for the experimental data of \(R_\textrm{skin}\) of \(^{208}\) Pb, reported by the PREX Collaboration, and the dimensionless tidal deformability of a canonical \(1.4~M_{\odot }\) neutron star, observed from the binary neutron star merger, GW170817.