Pseudospin symmetric solutions of the Dirac equation with the modified Rosen—Morse potential using Nikiforov—Uvarov method and supersymmetric quantum mechanics approach

doi:10.1088/1674-1056/ac2f33

中国物理B ›› 2022, Vol. 31 ›› Issue (5): 50302-050302.doi: 10.1088/1674-1056/ac2f33

Pseudospin symmetric solutions of the Dirac equation with the modified Rosen—Morse potential using Nikiforov—Uvarov method and supersymmetric quantum mechanics approach

Wen-Li Chen(陈文利) and I B Okon^1,†

1 School of Intelligent Science and Information Engineering, Xi'an Peihua University, Xi'an 710125, China;
2 Theoretical Physics Group, Department of Physics, University of Uyo, Nigeria

收稿日期:2021-08-20 修回日期:2021-10-09 发布日期:2022-04-29
通讯作者: Wen-Li Chen,E-mail:physwlchen@peihua.edu.cn;I B Okon,E-mail:ituenokon@uniuyo.edu.ng E-mail:physwlchen@peihua.edu.cn;ituenokon@uniuyo.edu.ng

Pseudospin symmetric solutions of the Dirac equation with the modified Rosen—Morse potential using Nikiforov—Uvarov method and supersymmetric quantum mechanics approach

Wen-Li Chen(陈文利) and I B Okon^1,†

1 School of Intelligent Science and Information Engineering, Xi'an Peihua University, Xi'an 710125, China;
2 Theoretical Physics Group, Department of Physics, University of Uyo, Nigeria

Received:2021-08-20 Revised:2021-10-09 Published:2022-04-29
Contact: Wen-Li Chen,E-mail:physwlchen@peihua.edu.cn;I B Okon,E-mail:ituenokon@uniuyo.edu.ng E-mail:physwlchen@peihua.edu.cn;ituenokon@uniuyo.edu.ng
About author:2021-10-13

摘要/Abstract

摘要： Employing the Pekeris-type approximation to deal with the pseudo-centrifugal term, we analytically study the pseudospin symmetry of a Dirac nucleon subjected to equal scalar and vector modified Rosen-Morse potential including the spin-orbit coupling term by using the Nikiforov-Uvarov method and supersymmetric quantum mechanics approach. The complex eigenvalue equation and the total normalized wave functions expressed in terms of Jacobi polynomial with arbitrary spin-orbit coupling quantum number k are presented under the condition of pseudospin symmetry. The eigenvalue equations for both methods reproduce the same result to affirm the mathematical accuracy of analytical calculations. The numerical solutions obtained for different adjustable parameters produce degeneracies for some quantum number.

关键词: Dirac equation, modified Rosen-Morse potential, Nikiforov-Uvarov method, supersymmetric quantum mechanics approach

Abstract: Employing the Pekeris-type approximation to deal with the pseudo-centrifugal term, we analytically study the pseudospin symmetry of a Dirac nucleon subjected to equal scalar and vector modified Rosen-Morse potential including the spin-orbit coupling term by using the Nikiforov-Uvarov method and supersymmetric quantum mechanics approach. The complex eigenvalue equation and the total normalized wave functions expressed in terms of Jacobi polynomial with arbitrary spin-orbit coupling quantum number k are presented under the condition of pseudospin symmetry. The eigenvalue equations for both methods reproduce the same result to affirm the mathematical accuracy of analytical calculations. The numerical solutions obtained for different adjustable parameters produce degeneracies for some quantum number.

Key words: Dirac equation, modified Rosen-Morse potential, Nikiforov-Uvarov method, supersymmetric quantum mechanics approach

中图分类号: (Scattering theory)

03.65.Nk

03.65.Pm (Relativistic wave equations) 03.65.Db (Functional analytical methods)

Wen-Li Chen(陈文利) and I B Okon. Pseudospin symmetric solutions of the Dirac equation with the modified Rosen—Morse potential using Nikiforov—Uvarov method and supersymmetric quantum mechanics approach[J]. 中国物理B, 2022, 31(5): 50302-050302.

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Pseudospin symmetric solutions of the Dirac equation with the modified Rosen—Morse potential using Nikiforov—Uvarov method and supersymmetric quantum mechanics approach

Pseudospin symmetric solutions of the Dirac equation with the modified Rosen—Morse potential using Nikiforov—Uvarov method and supersymmetric quantum mechanics approach

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