Abstract
Based on the Sturm-Liouville theorem and shape invariance formalism, we study by applying a Pekeris-type approximation to the pseudo-centrifugal term the pseudospin symmetry of a Dirac nucleon subjected to scalar and vector Manning-Rosen potentials including the spin-orbit coupling term. A quartic energy equation and spinor wave functions with arbitrary spin-orbit coupling quantum number k are presented. The bound states are calculated numerically. The relativistic Manning-Rosen potential could not trap a Dirac nucleon in the limit case β → ∞.
Original language | English |
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Pages (from-to) | 288-292 |
Number of pages | 5 |
Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
Volume | 686 |
Issue number | 4-5 |
DOIs | |
State | Published - 29 Mar 2010 |
Keywords
- Dirac equation
- Manning-Rosen potential
- Pseudospin symmetry