Relativistic effect of pseudospin symmetry and tensor coupling on the Mie-type potential via Laplace transformation method

doi:10.1088/1674-1056/23/12/120304

Abstract

A relativistic Mie-type potential for spin-1/2 particles is studied. The Dirac Hamiltonian contains a scalar S(r) and a vector V(r) Mie-type potential in the radial coordinates, as well as a tensor potential U(r) in the form of Coulomb potential. In the pseudospin (p-spin) symmetry setting ∑=C_ps and △ =V(r), an analytical solution for exact bound states of the corresponding Dirac equation is found. The eigenenergies and normalized wave functions are presented and particular cases are discussed with any arbitrary spin–orbit coupling number κ. Special attention is devoted to the case ∑ =0 for which p-spin symmetry is exact. The Laplace transform approach (LTA) is used in our calculations. Some numerical results are obtained and compared with those of other methods.

Keywords: tensor interaction p-spin symmetry Dirac equation Mie-type potential Laplace transform approach

Received: 25 February 2014
Revised: 22 April 2014
Accepted manuscript online:

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

Corresponding Authors: M. Eshghi, S. M. Ikhdair
E-mail: eshgi54@gmail.com,kpeshghi@ihu.ac.ir;sikhdair@gmail.com

Cite this article:

M. Eshghi, S. M. Ikhdair Relativistic effect of pseudospin symmetry and tensor coupling on the Mie-type potential via Laplace transformation method 2014 Chin. Phys. B 23 120304

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Relativistic effect of pseudospin symmetry and tensor coupling on the Mie-type potential via Laplace transformation method

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