Relativistic Hartree-Fock-Bogoliubov model for deformed nuclei

TL;DR

This paper introduces a relativistic nuclear model for deformed nuclei that incorporates density-dependent interactions and pion fields, providing detailed calculations for isotopes of Carbon, Neon, and Magnesium.

Contribution

The paper develops the first relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei including pion fields and solves it using a deformed harmonic oscillator basis.

Findings

Pion field inclusion affects binding energies and deformation parameters.

Model successfully describes properties of selected isotopes.

Provides a new framework for studying deformed nuclei with relativistic effects.

Abstract

The Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei (RHFBz) is introduced. The model is based on an effective Lagrangian with density-dependent meson-nucleon couplings in the particle-hole channel, and the pairing part of the Gogny force is used in the pairing channel. The RHFBz quasiparticle equations are solved by expansion in the basis of a deformed harmonic oscillator. Illustrative RHFBz calculations are performed for Carbon, Neon and Magnesium isotopes. The effect of the explicitly including the pion field is investigated for binding energies, deformation parameters, and charge radii.