| Issue |
EPL
Volume 87, Number 4, August 2009
|
|
|---|---|---|
| Article Number | 40004 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/87/40004 | |
| Published online | 07 September 2009 | |
Algebraic approach to pseudospin symmetry for the Dirac equation with scalar and vector modified Pöschl-Teller potentials
1
Department of Physics, Xi'an University of Arts and Science - Xi'an 710065, PRC
2
Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Edificio 9, Unidad Profesional Adolfo López Mateos - Mexico D. F. 07738, Mexico
Corresponding authors: fgwei_2000@163.com dongsh2@yahoo.com
Received:
23
April
2009
Accepted:
6
August
2009
By the algebraic method we study the approximate solution to the Dirac equation with scalar and vector modified Pöschl-Teller (MPT) potentials carrying pseudospin 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 negative-energy states for bound states under pseudospin symmetry, and the energy levels will approach a constant when the potential
parameter α goes to zero. There also
exist the corresponding degenerate states between 
and 
in the
case of pseudospin symmetry.
PACS: 03.65.Ge – Solutions of wave equations: bound states / 03.65.Pm – Relativistic wave equations / 34.20.Cf – Interatomic potentials and forces
© EPLA, 2009
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