Spin symmetry in the relativistic modified Rosen–Morse potential with the approximate centrifugal term

doi:10.1088/1674-1056/20/6/062101

中国物理B ›› 2011, Vol. 20 ›› Issue (6): 62101-062101.doi: 10.1088/1674-1056/20/6/062101

Spin symmetry in the relativistic modified Rosen–Morse potential with the approximate centrifugal term

陈文利¹, 卫高峰²

(1)Department of Basic Science, Xián Peihua University, Xián 710065, China; (2)Department of Physics and Electro-optics Engineering, Xián University of Arts and Science, Xián 710065, China

收稿日期:2010-07-25 修回日期:2010-12-20 出版日期:2011-06-15 发布日期:2011-06-15

Spin symmetry in the relativistic modified Rosen–Morse potential with the approximate centrifugal term

Chen Wen-Li (陈文利)^a, Wei Gao-Feng (卫高峰)^b

^a Department of Basic Science, Xi'an Peihua University, Xi'an 710065, China; ^b Department of Physics and Electro-optics Engineering, Xi'an University of Arts and Science, Xi'an 710065, China

Received:2010-07-25 Revised:2010-12-20 Online:2011-06-15 Published:2011-06-15

摘要/Abstract

摘要： By applying a Pekeris-type approximation to the centrifugal term, we study the spin symmetry of a Dirac nucleon subjected to scalar and vector modified Rosen-Morse potentials. A complicated energy equation and associated two-component spinors with arbitrary spin-orbit coupling quantum number k are presented. The positive-energy bound states are checked numerically in the case of spin symmetry. The relativistic modified Rosen-Morse potential cannot trap a Dirac nucleon in the limiting case α→0.

关键词: modified Rosen-Morse potential, Dirac equation, spin symmetry

Abstract: By applying a Pekeris-type approximation to the centrifugal term, we study the spin symmetry of a Dirac nucleon subjected to scalar and vector modified Rosen-Morse potentials. A complicated energy equation and associated two-component spinors with arbitrary spin-orbit coupling quantum number k are presented. The positive-energy bound states are checked numerically in the case of spin symmetry. The relativistic modified Rosen-Morse potential cannot trap a Dirac nucleon in the limiting case $\alpha$→ 0.

Key words: modified Rosen-Morse potential, Dirac equation, spin symmetry

中图分类号: (Properties of nuclei; nuclear energy levels)

21.10.-k

03.65.-w (Quantum mechanics)

陈文利, 卫高峰. Spin symmetry in the relativistic modified Rosen–Morse potential with the approximate centrifugal term[J]. 中国物理B, 2011, 20(6): 62101-062101.

Chen Wen-Li (陈文利), Wei Gao-Feng (卫高峰). Spin symmetry in the relativistic modified Rosen–Morse potential with the approximate centrifugal term[J]. Chin. Phys. B, 2011, 20(6): 62101-062101.

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Spin symmetry in the relativistic modified Rosen–Morse potential with the approximate centrifugal term

Spin symmetry in the relativistic modified Rosen–Morse potential with the approximate centrifugal term

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