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

摘要/Abstract

摘要：

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.

关键词: Dirac equation, Mie-type potential, Laplace transform approach, tensor interaction, p-spin symmetry

Abstract:

Key words: tensor interaction, p-spin symmetry, Dirac equation, Mie-type potential, Laplace transform approach

中图分类号: (Relativistic wave equations)

03.65.Pm

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

M. Eshghi, S. M. Ikhdair. Relativistic effect of pseudospin symmetry and tensor coupling on the Mie-type potential via Laplace transformation method[J]. 中国物理B, 2014, 23(12): 120304-120304.

M. Eshghi, S. M. Ikhdair. Relativistic effect of pseudospin symmetry and tensor coupling on the Mie-type potential via Laplace transformation method[J]. Chin. Phys. B, 2014, 23(12): 120304-120304.

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