Relativistic Hartree-Fock-Bogoliubov theory with Density Dependent Meson-Nucleon Couplings

TL;DR

This paper develops a relativistic Hartree-Fock-Bogoliubov theory incorporating density-dependent meson-nucleon couplings, enabling improved descriptions of nuclear mean fields and pairing effects, especially in neutron-rich isotopes.

Contribution

It introduces a novel RHFB framework with density-dependent couplings and finite-range Gogny pairing, enhancing nuclear structure modeling accuracy.

Findings

Accurate description of mean field and pairing in Sn isotopes and N=82 isotones.

Improved systematics from stable to neutron-rich nuclei with Fock terms.

Enhanced modeling with $ ho$-tensor couplings included.

Abstract

Relativistic Hartree-Fock-Bogoliubov (RHFB) theory with density-dependent meson-nucleon couplings is presented. The integro-differential RHFB equations are solved by expanding the different components of the quasi-particle spinors in the complete set of eigen-solutions of the Dirac equations with Woods-Saxon potentials. Using the finite-range Gogny force D1S as an effective interaction in the pairing channel, systematic RHFB calculations are performed for Sn isotopes and N=82 isotones. It is demonstrated that an appropriate description of both mean field and pairing effects can be obtained within RHFB theory with finite range Gogny pairing forces. Better systematics are also found in the regions from the stable to the neutron-rich side with the inclusion of Fock terms, especially in the presence of $\rho$-tensor couplings.