Hulthén and Coulomb-Like Potentials as a Tensor Interaction within the Relativistic Symmetries of the Manning-Rosen Potential

The bound-state solutions of the Dirac equation for the Manning-Rosen potential are presented approximately for arbitrary spin-orbit quantum number κ with the Hulthén and Coulomb-like potentials as a tensor interaction. The generalized parametric Nikiforov-Uvarov (NU) method is used to obtain energy...

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Main Authors: Hadi Tokmehdashi, Ali Akbar Rajabi, Majid Hamzavi
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2014/870523
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author Hadi Tokmehdashi
Ali Akbar Rajabi
Majid Hamzavi
author_facet Hadi Tokmehdashi
Ali Akbar Rajabi
Majid Hamzavi
author_sort Hadi Tokmehdashi
collection DOAJ
description The bound-state solutions of the Dirac equation for the Manning-Rosen potential are presented approximately for arbitrary spin-orbit quantum number κ with the Hulthén and Coulomb-like potentials as a tensor interaction. The generalized parametric Nikiforov-Uvarov (NU) method is used to obtain energy eigenvalues and corresponding two-component spinors of the two Dirac particles and these are obtained in the closed form by using the framework of the spin symmetry and p-spin symmetry concept. We have also shown that tensor interaction removes degeneracies between spin and p-spin doublets. Some numerical results are also given.
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series Advances in High Energy Physics
spelling doaj-art-e2c39a4dbb7d4dc0a9a24418dd5328182025-08-20T03:21:06ZengWileyAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/870523870523Hulthén and Coulomb-Like Potentials as a Tensor Interaction within the Relativistic Symmetries of the Manning-Rosen PotentialHadi Tokmehdashi0Ali Akbar Rajabi1Majid Hamzavi2Department of Physics, Shahrood University of Technology, Shahrood, IranDepartment of Physics, Shahrood University of Technology, Shahrood, IranDepartment of Physics, University of Zanjan, Zanjan, IranThe bound-state solutions of the Dirac equation for the Manning-Rosen potential are presented approximately for arbitrary spin-orbit quantum number κ with the Hulthén and Coulomb-like potentials as a tensor interaction. The generalized parametric Nikiforov-Uvarov (NU) method is used to obtain energy eigenvalues and corresponding two-component spinors of the two Dirac particles and these are obtained in the closed form by using the framework of the spin symmetry and p-spin symmetry concept. We have also shown that tensor interaction removes degeneracies between spin and p-spin doublets. Some numerical results are also given.http://dx.doi.org/10.1155/2014/870523
spellingShingle Hadi Tokmehdashi
Ali Akbar Rajabi
Majid Hamzavi
Hulthén and Coulomb-Like Potentials as a Tensor Interaction within the Relativistic Symmetries of the Manning-Rosen Potential
Advances in High Energy Physics
title Hulthén and Coulomb-Like Potentials as a Tensor Interaction within the Relativistic Symmetries of the Manning-Rosen Potential
title_full Hulthén and Coulomb-Like Potentials as a Tensor Interaction within the Relativistic Symmetries of the Manning-Rosen Potential
title_fullStr Hulthén and Coulomb-Like Potentials as a Tensor Interaction within the Relativistic Symmetries of the Manning-Rosen Potential
title_full_unstemmed Hulthén and Coulomb-Like Potentials as a Tensor Interaction within the Relativistic Symmetries of the Manning-Rosen Potential
title_short Hulthén and Coulomb-Like Potentials as a Tensor Interaction within the Relativistic Symmetries of the Manning-Rosen Potential
title_sort hulthen and coulomb like potentials as a tensor interaction within the relativistic symmetries of the manning rosen potential
url http://dx.doi.org/10.1155/2014/870523
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