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

Abstract

The bulk properties of nuclear matter and neutron stars with the newly generated relativisticinteraction Dev Bhoomi Himachal Pradesh (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 $^{208}\mathrm{Pb}$, and astrophysical constraints. The relativistic interaction has been generated by including all possible self and mixed interactions among $\ensuremath{\sigma}$, $\ensuremath{\omega}$, and $\ensuremath{\rho}$ mesons up to the quartic order satisfying the naturalness behavior of parameters. A covariance analysis is performed to assess the statistical uncertainties of the model parameters and observables of interest along with correlations amongst them. We obtained a value of neutron skin thickness for the $^{208}\mathrm{Pb}$ nucleus of $\mathrm{\ensuremath{\Delta}}{r}_{\mathrm{np}}=0.24\ifmmode\pm\else\textpm\fi{}0.02$ fm. The maximum gravitational mass of a neutron star and the radius corresponding to the canonical mass (${R}_{1.4}$) come out to be $2.03\ifmmode\pm\else\textpm\fi{}0.04$ ${M}_{\ensuremath{\bigodot}}$ and $13.39\ifmmode\pm\else\textpm\fi{}0.41$ km, respectively. The dimensionless tidal deformability $\mathrm{\ensuremath{\Lambda}}$ for a neutron star is also analyzed.