Pseudospin symmetry in supersymmetric quantum mechanics: II. Spin-orbit effects

TL;DR

This paper explores how spin-orbit interactions influence pseudospin symmetry in nuclei using supersymmetric quantum mechanics, demonstrating the perturbative stability of PSS even with strong spin-orbit potentials and quantifying their effects on energy splittings.

Contribution

It provides a detailed analysis of spin-orbit effects on pseudospin symmetry within a supersymmetric quantum mechanics framework, including perturbative treatment and quantitative assessment of PSS-breaking potentials.

Findings

PSS remains perturbative with significant spin-orbit potentials.

Spin-orbit effects on pseudospin-orbit splittings are quantitatively characterized.

PSS-breaking potentials influence energy level splittings in a measurable way.

Abstract

Following a previous paper [Haozhao Liang \textit{et al.}, Phys. Rev. C \textbf{87}, 014334 (2013)], we discuss the spin-orbit effects on the pseudospin symmetry (PSS) within the framework of supersymmetric quantum mechanics. By using the perturbation theory, we demonstrate that the perturbative nature of PSS maintains when a substantial spin-orbit potential is included. With the explicit PSS-breaking potential, the spin-orbit effects on the pseudospin-orbit splittings are investigated in a quantitative way.