Effect of tensor interaction in the Dirac-attractive radial problem under pseudospin symmetry limit
Abstract
We approximately investigated pseudospin symmetric solutions of the Dirac equation for attractive radial potential including a Coulomb-like tensor interaction under pseudospin symmetry limit for any spin-orbit quantum number . By using the parametric generalization of the Nikiforov-Uvarov method, the energy eigenvalues equation and the corresponding wave functions have been obtained in closed forms. Some numerical results are also given. We presented tensor interaction removes degeneracy between two states in pseudospin doublets.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- August 2012
- DOI:
- 10.1063/1.4739434
- arXiv:
- arXiv:1208.0453
- Bibcode:
- 2012JMP....53h2101H
- Keywords:
-
- 03.65.Pm;
- 03.65.Ta;
- 02.10.Ud;
- 03.65.Fd;
- Relativistic wave equations;
- Foundations of quantum mechanics;
- measurement theory;
- Linear algebra;
- Algebraic methods;
- Quantum Physics;
- Mathematical Physics
- E-Print:
- 13 pages, 2 figures