Relativistic symmetries in Rosen–Morse potential and tensor interaction using the Nikiforov–Uvarov method

doi:10.1088/1674-1056/22/4/040302

Abstract Approximate analytical bound-state solutions of the Dirac particle in the fields of attractive and repulsive Rosen-Morse (RM) potentials including Coulomb-like tensor (CLT) potential are obtained for arbitrary spin-orbit quantum number κ. The Pekeris approximation is used to deal with the spin-orbit coupling terms κ (κ ± 1)r^-2. In the presence of exact spin and pseudospin (p-spin) symmetries, the energy eigenvalues and the corresponding normalized two-component wave functions are found by using the parametric generalization of the Nikiforov–Uvarov (NU) method. The numerical results show that the CLT interaction removes degeneracies between spin and p-spin state doublets.

Keywords: Dirac equation RM potential CLT potential spin and p-spin symmetries NU method approximation schemes

Received: 02 May 2012
Revised: 28 October 2012
Accepted manuscript online:

PACS:	03.65.Ge	(Solutions of wave equations: bound states)
	03.65.Fd	(Algebraic methods)
	03.65.Pm	(Relativistic wave equations)
	02.30.Gp	(Special functions)

Fund: Project partially supported by the Scientific and Technological Research Council of Turkey (Grant No. TÜBÍTAK).

Corresponding Authors: Majid Hamzavi
E-mail: majid.hamzavi@gmail.com

Cite this article:

Sameer M Ikhdair, Majid Hamzavi Relativistic symmetries in Rosen–Morse potential and tensor interaction using the Nikiforov–Uvarov method 2013 Chin. Phys. B 22 040302

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Relativistic symmetries in Rosen–Morse potential and tensor interaction using the Nikiforov–Uvarov method

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