Skyrme functional with tensor terms from \textit{ab initio} calculations of neutron-proton drops

TL;DR

This paper introduces a new Skyrme functional with tensor terms derived from extit{ab initio} calculations, improving the modeling of nuclear properties and collective excitations without sacrificing accuracy.

Contribution

The work presents a novel Skyrme functional incorporating tensor terms guided by extit{ab initio} calculations, enhancing the description of spin-related nuclear properties.

Findings

Tensor terms improve Spin-Dipole Resonance predictions.

Functional accurately reproduces bulk nuclear properties.

Predictions for neutron skin thickness are provided.

Abstract

A new Skyrme functional devised to account well for standard nuclear properties as well as for spin and spin-isospin properties is presented. The main novelty of this work relies on the introduction of tensor terms guided by \textit{ab initio} relativistic Brueckner-Hartree-Fock calculations of neutron-proton drops. The inclusion of tensor term does not decrease the accuracy in describing bulk properties of nuclei, experimental data of some selected spherical nuclei such as binding energies, charge radii, and spin-orbit splittings can be well fitted. The new functional is applied to the investigation of various collective excitations such as the Giant Monopole Resonance (GMR), the Isovector Giant Dipole Resonance (IVGDR), the Gamow-Teller Resonance (GTR), and the Spin-Dipole Resonance (SDR). The overall description with the new functional is satisfactory and the tensor terms are shown to be important particularly for the improvement of the Spin-Dipole Resonance results. Predictions for the neutron skin thickness based on the non-energy weighted sum rule of the Spin-Dipole Resonance are also given.