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

Relativistic effect of pseudospin symmetry and tensor coupling on the Mie-type potential via Laplace transformation method
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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 Σ = Cps and Δ = 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 caseΣ = 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. 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 Σ = Cps and Δ = 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 caseΣ = 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.
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第12期44-49,共6页 中国物理B(英文版)
关键词 Dirac equation Mie-type potential Laplace transform approach tensor interaction p-spin symmetry Dirac equation Mie-type potential Laplace transform approach tensor interaction p-spin symmetry
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