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

Following a previous paper [Haozhao Liang et al., Phys. Rev. C 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.