中国物理B ›› 2013, Vol. 22 ›› Issue (8): 80302-080302.doi: 10.1088/1674-1056/22/8/080302

• GENERAL • 上一篇    下一篇

Relativistic symmetries in the Hulthén scalar–vector–tensor interactions

Majid Hamzavia, Ali Akbar Rajabib   

  1. a Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran;
    b Physics Department, Shahrood University of Technology, Shahrood, Iran
  • 收稿日期:2012-12-09 修回日期:2013-01-28 出版日期:2013-06-27 发布日期:2013-06-27

Relativistic symmetries in the Hulthén scalar–vector–tensor interactions

Majid Hamzavia, Ali Akbar Rajabib   

  1. a Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran;
    b Physics Department, Shahrood University of Technology, Shahrood, Iran
  • Received:2012-12-09 Revised:2013-01-28 Online:2013-06-27 Published:2013-06-27
  • Contact: Majid Hamzavi E-mail:majid.hamzavi@gmail.com

摘要: In the presence of spin and pseudospin (p-spin) symmetries, the approximate analytical bound states of the Dirac equation for scalar-vector-tensor Hulthén potentials are obtained with any arbitrary spin-orbit coupling number κ using the Pekeris approximation. The Hulthén tensor interaction is studied instead of the commonly used Coulomb or linear terms. The generalized parametric Nikiforov-Uvarov (NU) method is used to obtain energy eigenvalues and corresponding wave functions in their closed forms. It is shown that tensor interaction removes degeneracy between spin and p-spin doublets. Some numerical results are also given.

关键词: Dirac equation, Hulthé, n scalar-vector-tensor potential, spin and p-spin symmetry, NU method

Abstract: In the presence of spin and pseudospin (p-spin) symmetries, the approximate analytical bound states of the Dirac equation for scalar-vector-tensor Hulthén potentials are obtained with any arbitrary spin-orbit coupling number κ using the Pekeris approximation. The Hulthén tensor interaction is studied instead of the commonly used Coulomb or linear terms. The generalized parametric Nikiforov-Uvarov (NU) method is used to obtain energy eigenvalues and corresponding wave functions in their closed forms. It is shown that tensor interaction removes degeneracy between spin and p-spin doublets. Some numerical results are also given.

Key words: Dirac equation, Hulthén scalar-vector-tensor potential, spin and p-spin symmetry, NU method

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge
03.65.Fd (Algebraic methods) 03.65.Pm (Relativistic wave equations) 02.30.Gp (Special functions)