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

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

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.

Keywords: Dirac equation Hulthén potential and Yukawa potential pseudospin and spin symmetry tensor interaction

Received: 01 June 2012
Revised: 24 July 2012
Accepted manuscript online:

PACS:	03.65.Ge	(Solutions of wave equations: bound states)
	03.65.Pm	(Relativistic wave equations)
	02.30.Gp	(Special functions)
	21.60.Cs	(Shell model)

Corresponding Authors: Oktay Aydoğdu
E-mail: oktaydogdu@gmail.com

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Oktay Aydoğdu, Elham Maghsoodi, Hassan Hassanabadi Dirac equation for the Hulthén potential within the Yukawa-type tensor interaction 2013 Chin. Phys. B 22 010302

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

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