Regular Article - Theoretical Physics
Pseudospin symmetry for modified Rosen-Morse potential including a Pekeris-type approximation to the pseudo-centrifugal term
Department of Physics and Electro-Optics Engineering, Xi’an University of Arts and Science, 710065, Xi’an, PRC
2 Escuela Superior de Fısica y Matemáticas, Instituto Politécnico Nacional, Edificio 9, Unidad Profesional Adolfo López Mateos, 07738, Mexico D. F., Mexico
Accepted: 27 August 2010
Published online: 24 September 2010
By applying a Pekeris-type approximation to the pseudo-centrifugal term, we study the pseudospin symmetry of a Dirac nucleon subjected to scalar and vector modified Rosen-Morse (MRM) potentials. A complicated quartic energy equation and spinor wave functions with arbitrary spin-orbit coupling quantum number k are presented. The pseudospin degeneracy is checked numerically. Pseudospin symmetry is discussed theoretically and numerically in the limit case 0 . It is found that the relativistic MRM potential cannot trap a Dirac nucleon in this limit.
© SIF, Springer-Verlag Berlin Heidelberg, 2010