Relativistic Density Dependent Hartree-Fock Approach for Finite Nuclei

Abstract

The self-energy of the Dirac Brueckner-Hartree-Fock calculation in nuclear matter is parametrized by introducing density-dependent coupling constants of isoscalar mesons in the relativistic Hartree-Fock (RHF) approach where isoscalar meson $σ$ , $ω$ and isovector meson $π$, $ρ$ contributions are included. The RHF calculations with density dependent coupling constants obtained in this way not only reproduce the nuclear matter saturation properties , but also provide the self-energy with an appropriate density dependence. The relativistic density dependent Hartree-Fock (RDHF) approach contains the features of the relativistic G matrix and in the meantime simplifies the calculation. The ground state properties of spherical nuclei calculated in the RDHF are in good agreement with the experimental data. The contribution of isovector mesons $π$ and $ρ$ , especially the contribution of the tensor coupling of $ρ$ meson , are discussed in this paper.