Spin and Pseudospin Symmetries with Trigonometric Pöschl-Teller Potential including Tensor Coupling

We study approximate analytical solutions of the Dirac equation with the trigonometric Pöschl-Teller (tPT) potential and a Coulomb-like tensor potential for arbitrary spin-orbit quantum number κ under the presence of exact spin and pseudospin (...

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Main Authors: M. Hamzavi, A. A. Rajabi
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2013/196986
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author M. Hamzavi
A. A. Rajabi
author_facet M. Hamzavi
A. A. Rajabi
author_sort M. Hamzavi
collection DOAJ
description We study approximate analytical solutions of the Dirac equation with the trigonometric Pöschl-Teller (tPT) potential and a Coulomb-like tensor potential for arbitrary spin-orbit quantum number κ under the presence of exact spin and pseudospin ( p -spin) symmetries. The bound state energy eigenvalues and the corresponding two-component wave functions of the Dirac particle are obtained using the parametric generalization of the Nikiforov-Uvarov (NU) method. We show that tensor interaction removes degeneracies between spin and pseudospin doublets. The case of nonrelativistic limit is studied too.
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institution Kabale University
issn 1687-7357
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publishDate 2013-01-01
publisher Wiley
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series Advances in High Energy Physics
spelling doaj-art-17aa11ea31f643fb9e8ccd6c47a3adf62025-02-03T06:07:16ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/196986196986Spin and Pseudospin Symmetries with Trigonometric Pöschl-Teller Potential including Tensor CouplingM. Hamzavi0A. A. Rajabi1Physics Department, Shahrood University of Technology, P.O. Box 3619995161, Shahrood, IranPhysics Department, Shahrood University of Technology, P.O. Box 3619995161, Shahrood, IranWe study approximate analytical solutions of the Dirac equation with the trigonometric Pöschl-Teller (tPT) potential and a Coulomb-like tensor potential for arbitrary spin-orbit quantum number κ under the presence of exact spin and pseudospin ( p -spin) symmetries. The bound state energy eigenvalues and the corresponding two-component wave functions of the Dirac particle are obtained using the parametric generalization of the Nikiforov-Uvarov (NU) method. We show that tensor interaction removes degeneracies between spin and pseudospin doublets. The case of nonrelativistic limit is studied too.http://dx.doi.org/10.1155/2013/196986
spellingShingle M. Hamzavi
A. A. Rajabi
Spin and Pseudospin Symmetries with Trigonometric Pöschl-Teller Potential including Tensor Coupling
Advances in High Energy Physics
title Spin and Pseudospin Symmetries with Trigonometric Pöschl-Teller Potential including Tensor Coupling
title_full Spin and Pseudospin Symmetries with Trigonometric Pöschl-Teller Potential including Tensor Coupling
title_fullStr Spin and Pseudospin Symmetries with Trigonometric Pöschl-Teller Potential including Tensor Coupling
title_full_unstemmed Spin and Pseudospin Symmetries with Trigonometric Pöschl-Teller Potential including Tensor Coupling
title_short Spin and Pseudospin Symmetries with Trigonometric Pöschl-Teller Potential including Tensor Coupling
title_sort spin and pseudospin symmetries with trigonometric poschl teller potential including tensor coupling
url http://dx.doi.org/10.1155/2013/196986
work_keys_str_mv AT mhamzavi spinandpseudospinsymmetrieswithtrigonometricposchltellerpotentialincludingtensorcoupling
AT aarajabi spinandpseudospinsymmetrieswithtrigonometricposchltellerpotentialincludingtensorcoupling