Pseudospin symmetry for modified Rosen-Morse potential including a Pekeris-type approximation to the pseudo-centrifugal term |
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Authors: | Gao-Feng Wei and Shi-Hai Dong |
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Institution: | 1.Department of Physics and Electro-Optics Engineering,Xi’an University of Arts and Science,Xi’an,PRC;2.Escuela Superior de F?sica y Matemáticas, Instituto Politécnico Nacional,Edificio 9, Unidad Profesional Adolfo López Mateos,Mexico D. F.,Mexico |
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Abstract: | By a novel algebraic method we study the approximate solution to the Dirac equation with scalar and vector second P?schl-Teller
potential carrying spin symmetry. The transcendental energy equation and spinor wave functions with arbitrary spin-orbit coupling
quantum number k are presented. It is found that there exist only positive-energy bound states in the case of spin symmetry. Also, the energy
eigenvalue approaches a constant when the potential parameter a \alpha goes to zero. The equally scalar and vector case is studied briefly. |
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Keywords: | |
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