Dirac equation for the Hulthén potential within the Yukawa-type tensor interaction

doi:10.1088/1674-1056/22/1/010302

Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (1): 10302-010302.doi: 10.1088/1674-1056/22/1/010302

Dirac equation for the Hulthén potential within the Yukawa-type tensor interaction

Oktay Aydoğdu^a, Elham Maghsoodi^b, Hassan Hassanabadi^b

a Department of Physics, Mersin University, Mersin 33343, Turkey;
b Department of Physics, Shahrood University of Technology, Shahrood, Iran

收稿日期:2012-06-01 修回日期:2012-07-24 出版日期:2012-12-01 发布日期:2012-12-01

Dirac equation for the Hulthén potential within the Yukawa-type tensor interaction

Oktay Aydoğdu^a, Elham Maghsoodi^b, Hassan Hassanabadi^b

a Department of Physics, Mersin University, Mersin 33343, Turkey;
b Department of Physics, Shahrood University of Technology, Shahrood, Iran

Received:2012-06-01 Revised:2012-07-24 Online:2012-12-01 Published:2012-12-01
Contact: Oktay Aydoğdu E-mail:oktaydogdu@gmail.com

摘要/Abstract

摘要： Using the Nikiforov-Uvarov (NU) method, pseudospin and spin symmetric solutions of the Dirac equation for the scalar and vector Hulthén potentials with the Yukawa-type tensor potential are obtained for an arbitrary spin-orbit coupling quantum number κ. We deduce the energy eigenvalue equations and corresponding upper- and lower-spinor wave functions in both the pseudospin and spin symmetry cases. Numerical results of the energy eigenvalue equations and the upper- and lower-spinor wave functions are presented to show the effects of the external potential and particle mass parameters as well as pseudospin and spin symmetric constants on the bound-state energies and wave functions in the absence and presence of the tensor interaction.

关键词: Dirac equation, Hulthé, n potential and Yukawa potential, pseudospin and spin symmetry, tensor interaction

Abstract: Using the Nikiforov-Uvarov (NU) method, pseudospin and spin symmetric solutions of the Dirac equation for the scalar and vector Hulthén potentials with the Yukawa-type tensor potential are obtained for an arbitrary spin-orbit coupling quantum number κ. We deduce the energy eigenvalue equations and corresponding upper- and lower-spinor wave functions in both the pseudospin and spin symmetry cases. Numerical results of the energy eigenvalue equations and the upper- and lower-spinor wave functions are presented to show the effects of the external potential and particle mass parameters as well as pseudospin and spin symmetric constants on the bound-state energies and wave functions in the absence and presence of the tensor interaction.

Key words: Dirac equation, Hulthén potential and Yukawa potential, pseudospin and spin symmetry, tensor interaction

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

03.65.Ge

03.65.Pm (Relativistic wave equations) 02.30.Gp (Special functions) 21.60.Cs (Shell model)

Oktay Aydoğdu, Elham Maghsoodi, Hassan Hassanabadi. Dirac equation for the Hulthén potential within the Yukawa-type tensor interaction[J]. Chin. Phys. B, 2013, 22(1): 10302-010302.

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Dirac equation for the Hulthén potential within the Yukawa-type tensor interaction

Dirac equation for the Hulthén potential within the Yukawa-type tensor interaction

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