Eigen-spectra in the Dirac-attractive radial problem plus a tensor interaction under pseudospin and spin symmetry with the SUSY approach

doi:10.1088/1674-1056/22/10/100305

中国物理B ›› 2013, Vol. 22 ›› Issue (10): 100305-100305.doi: 10.1088/1674-1056/22/10/100305

Eigen-spectra in the Dirac-attractive radial problem plus a tensor interaction under pseudospin and spin symmetry with the SUSY approach

S. Arbabi Moghadam^a, H. Mehraban^b, M. Eshghi^c

a Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran;
b Physics Department, Faculty of Sciences, Semnan University, Semnan, Iran;
c Physics Department, Imam Hossein Comprehensive University, Tehran, Iran

收稿日期:2013-02-08 修回日期:2013-04-13 出版日期:2013-08-30 发布日期:2013-08-30

Eigen-spectra in the Dirac-attractive radial problem plus a tensor interaction under pseudospin and spin symmetry with the SUSY approach

S. Arbabi Moghadam^a, H. Mehraban^b, M. Eshghi^c

a Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran;
b Physics Department, Faculty of Sciences, Semnan University, Semnan, Iran;
c Physics Department, Imam Hossein Comprehensive University, Tehran, Iran

Received:2013-02-08 Revised:2013-04-13 Online:2013-08-30 Published:2013-08-30
Contact: S. Arbabi Moghadam, H. Mehraban, M. Eshghi E-mail:sahararbabi@yahoo.com, sarbabi67@gmail.com;Hmehraban@semnan.ac.ir;eshgi54@gmail.com, kpeshghi@ihu.ac.ir

摘要/Abstract

摘要： We approximately solve the Dirac equation for attractive radial potential including a Coulomb-like tensor interaction under pseudospin and the spin symmetry limit for any arbitrary spin-orbit quantum number, by employing the supersymmetric (SUSY) quantum mechanics and supersymmetric shape invariance technique. We obtain the energy eigenvalue equation under the pseudospin and spin conditions. Some numerical results are compared with those obtained by the Nikiforove-Uvarov (NU) method.

关键词: Dirac equation, attractive radial, SUSY, Coulomb-like tensor potential

Abstract: We approximately solve the Dirac equation for attractive radial potential including a Coulomb-like tensor interaction under pseudospin and the spin symmetry limit for any arbitrary spin-orbit quantum number, by employing the supersymmetric (SUSY) quantum mechanics and supersymmetric shape invariance technique. We obtain the energy eigenvalue equation under the pseudospin and spin conditions. Some numerical results are compared with those obtained by the Nikiforove-Uvarov (NU) method.

Key words: Dirac equation, attractive radial, SUSY, Coulomb-like tensor potential

中图分类号: (Relativistic wave equations)

03.65.Pm

03.65.Ge (Solutions of wave equations: bound states) 02.30.Gp (Special functions)

S. Arbabi Moghadam, H. Mehraban, M. Eshghi. Eigen-spectra in the Dirac-attractive radial problem plus a tensor interaction under pseudospin and spin symmetry with the SUSY approach[J]. 中国物理B, 2013, 22(10): 100305-100305.

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Eigen-spectra in the Dirac-attractive radial problem plus a tensor interaction under pseudospin and spin symmetry with the SUSY approach

Eigen-spectra in the Dirac-attractive radial problem plus a tensor interaction under pseudospin and spin symmetry with the SUSY approach

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