Relativistic approach for the determination of nuclear and neutron star properties in consideration of PREX-II results

The bulk properties of nuclear matter and neutron stars with the newly generated relativistic interaction DBHP are investigated which provides an opportunity to modify the coupling parameters keeping in view the finite nuclei, nuclear matter, PREX-II data for neutron skin thickness in $^{208}$Pb and astrophysical constraints. The relativistic interaction has been generated by including all possible self and mixed interactions between $\sigma$, $\omega$, and $\rho$-meson up to the quartic order satisfying the naturalness behavior of parameters. A covariance analysis is performed to assess the statistical uncertainties on the model parameters and observables of interest along with correlations amongst them. We obtained a value of neutron skin thickness for $^{208}$Pb nucleus $\Delta r_{np}$ = 0.24 $\pm$ 0.02 fm. The maximum gravitational mass of neutron star and radius corresponding to the canonical mass ($R_{1.4}$) come out to be 2.03 $\pm$ 0.04 M$\odot$ and 13.39 $\pm$ 0.41 km respectively. The dimensionless tidal deformability, ${\Lambda}$ for a neutron star is also analyzed.