Skyrme Functional with Tensor Terms from ab initio Calculations: Results for the Spin-Orbit Splittings

TL;DR

This paper introduces a new Skyrme functional with tensor terms derived from ab initio RBHF calculations, improving the description of nuclear properties without relying on experimental single-particle data.

Contribution

The study develops the SAMi-T functional with tensor terms fitted to RBHF pseudodata, avoiding ambiguities from beyond mean-field effects.

Findings

Accurately describes ground-state properties like binding energies and radii.

Successfully models spin-orbit splittings and excited state resonances.

Provides a tensor-inclusive functional grounded in ab initio calculations.

Abstract

A new Skyrme functional including tensor terms is presented. The tensor terms have been determined by fitting the results of relativistic Brueckner-Hartree-Fock (RBHF) studies on neutron-proton drops. Unlike all previous studies, where the tensor terms were usually determined by fitting to experimental data of single-particle levels, the pseudodata calculated by RBHF does not contain beyond mean-field effect such as the particle-vibration coupling and, therefore, can provide information on the tensor term without ambiguities. The obtained new functional, named SAMi-T, can describe well ground-state properties such as binding energies, radii, spin-orbit splittings and, at the same time, the excited state properties such as those of the Giant Monopole Resonance (GMR), Giant Dipole Resonance (GDR), Gamow-Teller Resonance (GTR), and Spin-Dipole Resonance (SDR).