Spin and pseudospin symmetric Dirac particles in the field of Tietz–Hua potential including Coulomb tensor interaction

doi:10.1088/1674-1056/22/9/090305

中国物理B ›› 2013, Vol. 22 ›› Issue (9): 90305-090305.doi: 10.1088/1674-1056/22/9/090305

Spin and pseudospin symmetric Dirac particles in the field of Tietz–Hua potential including Coulomb tensor interaction

Sameer M. Ikhdair^{a b}, Majid Hamzavi^c

a Department of Physics, Faculty of Science, An-Najah National University, New Campus, Junaid, Nablus, West Bank, Palestine;
b Department of Electrical and Electronic Engineering, Near East University, Nicosia, Northern Cyprus, Mersin 10, Turkey;
c Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran

收稿日期:2012-12-11 修回日期:2013-02-24 出版日期:2013-07-26 发布日期:2013-07-26
基金资助:
Project supported by the Scientific and Technological Research Council of Turkey (TUBITAK).

Spin and pseudospin symmetric Dirac particles in the field of Tietz–Hua potential including Coulomb tensor interaction

Sameer M. Ikhdair^{a b}, Majid Hamzavi^c

a Department of Physics, Faculty of Science, An-Najah National University, New Campus, Junaid, Nablus, West Bank, Palestine;
b Department of Electrical and Electronic Engineering, Near East University, Nicosia, Northern Cyprus, Mersin 10, Turkey;
c Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran

Received:2012-12-11 Revised:2013-02-24 Online:2013-07-26 Published:2013-07-26
Contact: Sameer M. Ikhdair, Majid Hamzavi E-mail:sikhdair@neu.edu.tr; sikhdair@gmail.com; majid.hamzavi@gmail.com
Supported by:
Project supported by the Scientific and Technological Research Council of Turkey (TUBITAK).

摘要/Abstract

摘要： Approximate analytical solutions of the Dirac equation for Tietz-Hua (TH) potential including Coulomb-like tensor (CLT) potential with arbitrary spin-orbit quantum number κ are obtained within the Pekeris approximation scheme to deal with the spin-orbit coupling terms κ (κ±1)r^-2. Under the exact spin and pseudospin symmetric limitation, bound state energy eigenvalues and associated unnormalized two-component wave functions of the Dirac particle in the field of both attractive and repulsive TH potential with tensor potential are found using the parametric Nikiforov-Uvarov (NU) method. The cases of the Morse oscillator with tensor potential, the generalized Morse oscillator with tensor potential, and the non-relativistic limits have been investigated.

关键词: Dirac equation, Tietz-Hua (TH) potential, Coulomb-like tensor (CLT) potential, generalized Morse potential

Abstract: Approximate analytical solutions of the Dirac equation for Tietz-Hua (TH) potential including Coulomb-like tensor (CLT) potential with arbitrary spin-orbit quantum number κ are obtained within the Pekeris approximation scheme to deal with the spin-orbit coupling terms κ (κ±1)r^-2. Under the exact spin and pseudospin symmetric limitation, bound state energy eigenvalues and associated unnormalized two-component wave functions of the Dirac particle in the field of both attractive and repulsive TH potential with tensor potential are found using the parametric Nikiforov-Uvarov (NU) method. The cases of the Morse oscillator with tensor potential, the generalized Morse oscillator with tensor potential, and the non-relativistic limits have been investigated.

Key words: Dirac equation, Tietz-Hua (TH) potential, Coulomb-like tensor (CLT) potential, generalized Morse potential

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)

Sameer M. Ikhdair, Majid Hamzavi. Spin and pseudospin symmetric Dirac particles in the field of Tietz–Hua potential including Coulomb tensor interaction[J]. 中国物理B, 2013, 22(9): 90305-090305.

Sameer M. Ikhdair, Majid Hamzavi. Spin and pseudospin symmetric Dirac particles in the field of Tietz–Hua potential including Coulomb tensor interaction[J]. Chin. Phys. B, 2013, 22(9): 90305-090305.

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Spin and pseudospin symmetric Dirac particles in the field of Tietz–Hua potential including Coulomb tensor interaction

Spin and pseudospin symmetric Dirac particles in the field of Tietz–Hua potential including Coulomb tensor interaction

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