Exploring effects of tensor force and its strength via neutron drops

TL;DR

This study investigates how the tensor force influences spin-orbit splitting in neutron drops using relativistic Hartree-Fock theory, highlighting the importance of tensor force strength and density dependence for effective interaction development.

Contribution

It provides a semiquantitative analysis of tensor force effects and supports the concept of renormalization persistency within density functional theory.

Findings

Tensor force affects spin-orbit splitting evolution in neutron drops.

Weakening the density dependence of the tensor force is slightly more effective.

Supports the renormalization persistency of the tensor force in density functional frameworks.

Abstract

The tensor-force effects on the evolution of the spin-orbit splittings in the neutron drops are investigated within the framework of the relativistic Hartree-Fock theory. For fair comparisons on the pure mean-field level, the results of the relativistic Brueckner-Hartree-Fock calculation with the Bonn A interaction are adopted as meta-data. Through a quantitative analysis, we certify that the $\pi$-pseudovector ($\pi$-PV) coupling affects the evolutionary trend through the tensor force embedded. The strength of the tensor force is explored by enlarging the strength $f_{\pi}$ of the $\pi$-PV coupling. It is found that weakening the density dependence of $f_{\pi}$ is slightly better than enlarging it with a factor. We thus provide a semiquantitative support for the \textit{renormalization persistency} of the tensor force within the framework of density functional theory. This will serve as an important guidance for the further development of the relativistic effective interactions with particular focus on the tensor force.