Relativistic Mean-Field Approach in Nuclear Systems

TL;DR

This paper introduces a relativistic approach based on the Dirac-Brueckner-Hartree-Fock method to accurately predict properties of finite nuclei, including binding energies, radii, and spin-orbit splittings, using a self-consistent scheme.

Contribution

It develops a new scheme combining DBHF with local density approximations to model finite nuclei properties from a bare nucleon-nucleon interaction.

Findings

Binding energies match empirical data closely.

Predicted radii and spin-orbit splittings are within 10% of experimental values.

Reproduces key features of more advanced DBHF calculations.

Abstract

A new scheme to study the properties of finite nuclei is proposed based on the Dirac-Brueckner-Hartree-Fock (DBHF) approach starting from a bare nucleon-nucleon interaction. The relativistic structure of the nucleon self-energies in nuclear matter depending on density, momentum and isospin asymmetry are determined through a subtracted T-matrix technique and parameterized, which makes them easily accessible for general use. The scalar and vector potentials of a single particle in nuclei are generated via a local density approximation (LDA). The surface effect of finite nuclei can be taken into account by an improved LDA (ILDA), which has successfully been applied in microscopic derivations of the optical model potential for nucleon-nucleus scattering. The bulk properties of nuclei can be determined in a self-consistent scheme for nuclei all over the nuclear mass table. Calculated binding energies agree very well with the empirical data, while the predicted values for radii and spin-orbit splitting of single-particle energies are about 10 \% smaller than the experimental data. Basic features of more sophisticated DBHF calculations for finite nuclei are reproduced.