Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory

TL;DR

This paper introduces a new effective interaction PKA1 within the density-dependent relativistic Hartree-Fock framework, which improves nuclear shell structure descriptions by incorporating $ ho$-tensor couplings, leading to more realistic spectra and spin-orbit splittings.

Contribution

The paper develops and fits a new effective interaction PKA1 with $ ho$-tensor couplings, enhancing shell structure predictions in DDRHF theory.

Findings

Improved single-particle spectra with realistic shell closures.

Cures artificial shells at 58 and 92, and recovers sub-shell closure at 64.

Achieves proper spin-orbit splittings and pseudo-spin symmetry.

Abstract

A new effective interaction PKA1 with $\rho$-tensor couplings for the density-dependent relativistic Hartree-Fock (DDRHF) theory is presented. It is obtained by fitting selected empirical ground state and shell structure properties. It provides satisfactory descriptions of nuclear matter and the ground state properties of finite nuclei at the same quantitative level as recent DDRHF and RMF models. Significant improvement on the single-particle spectra is also found due to the inclusion of $\rho$-tensor couplings. As a result, PKA1 cures a common disease of the existing DDRHF and RMF Lagrangians, namely the artificial shells at 58 and 92, and recovers the realistic sub-shell closure at 64. Moreover, the proper spin-orbit splittings and well-conserved pseudo-spin symmetry are obtained with the new effective interaction PKA1. Due to the extra binding introduced by the $\rho$-tensor correlations, the balance between the nuclear attractions and the repulsions is changed and this constitutes the physical reason for the improvement of the nuclear shell structure.