Relativistic symmetry of position-dependent mass particle in Coulomb field including tensor interaction

doi:10.1088/1674-1056/22/3/030303

Abstract The spatially-dependent mass Dirac equation is solved exactly for attractive scalar and repulsive vector Coulomb potentials including a tensor interaction under the spin and pseudospin symmetric limit. Closed forms of the energy eigenvalue equation and wave functions are obtained for arbitrary spin-orbit quantum number κ. Some numerical results are given too. The effect of the tensor interaction on the bound states is presented. It is shown that the tensor interaction removes the degeneracy between two states in the spin doublets. We also investigate the effects of the spatially-dependent mass on the bound states under the conditions of the spin symmetric limit in the absence of tensor interaction.

Keywords: Dirac equation spin and pseudospin symmetries spatially-dependent mass tensor interaction

Received: 15 August 2012
Revised: 22 September 2012
Accepted manuscript online:

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

Fund: Project supported by the Scientific and Technical Research Council of Turkey.

Corresponding Authors: M. Eshghia
E-mail: eshgi54@gmail.com

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M. Eshghi, M. Hamzavi, S. M. Ikhdair Relativistic symmetry of position-dependent mass particle in Coulomb field including tensor interaction 2013 Chin. Phys. B 22 030303

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Relativistic symmetry of position-dependent mass particle in Coulomb field including tensor interaction

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