Relativistic symmetries in the Hulthén scalar–vector–tensor interactions

doi:10.1088/1674-1056/22/8/080302

Abstract In the presence of spin and pseudospin (p-spin) symmetries, the approximate analytical bound states of the Dirac equation for scalar-vector-tensor Hulthén potentials are obtained with any arbitrary spin-orbit coupling number κ using the Pekeris approximation. The Hulthén tensor interaction is studied instead of the commonly used Coulomb or linear terms. The generalized parametric Nikiforov-Uvarov (NU) method is used to obtain energy eigenvalues and corresponding wave functions in their closed forms. It is shown that tensor interaction removes degeneracy between spin and p-spin doublets. Some numerical results are also given.

Keywords: Dirac equation Hulthén scalar-vector-tensor potential spin and p-spin symmetry NU method

Received: 09 December 2012
Revised: 28 January 2013
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)

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

Cite this article:

Majid Hamzavi, Ali Akbar Rajabi Relativistic symmetries in the Hulthén scalar–vector–tensor interactions 2013 Chin. Phys. B 22 080302

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Relativistic symmetries in the Hulthén scalar–vector–tensor interactions

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