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

Shihang Shen (申时行), Haozhao Liang (梁豪兆), Pengwei Zhao (赵鹏巍), Shuangquan Zhang (张双全), and Jie Meng (孟杰)

Phys. Rev. C 88, 024311 – Published 14 August 2013

Abstract

Following a previous paper [Liang et al., Phys. Rev. C 87, 014334 (2013)], we discuss spin-orbit effects on pseudospin symmetry (PSS) within the framework of supersymmetric quantum mechanics. By using 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 pseudo-spin-orbit splittings are investigated in a quantitative way.

Received 21 May 2013

DOI:https://doi.org/10.1103/PhysRevC.88.024311

Authors & Affiliations

Shihang Shen (申时行)¹, Haozhao Liang (梁豪兆)^2,1, Pengwei Zhao (赵鹏巍)¹, Shuangquan Zhang (张双全)¹, and Jie Meng (孟杰)^1,3,4

¹State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China
²RIKEN Nishina Center, Wako 351-0198, Japan
³School of Physics and Nuclear Energy Engineering, Beihang University, Beijing 100191, China
⁴Department of Physics, University of Stellenbosch, Stellenbosch 7600, South Africa

Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations

Haozhao Liang (梁豪兆), Shihang Shen (申时行), Pengwei Zhao (赵鹏巍), and Jie Meng (孟杰)

Phys. Rev. C 87, 014334 (2013)

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Vol. 88, Iss. 2 — August 2013

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Physical Review C

covering nuclear physics