arXiv:1308.1143·v1·Nuclear Theory
Pseudospin symmetry in supersymmetric quantum mechanics: II. Spin-orbit effects
Shihang Shen · Haozhao Liang · Pengwei Zhao · Shuangquan Zhang · Jie Meng
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.
Comments: 6 pages, 6 figures