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Relativistic symmetries in the Rosen-Morse potential and tensor interaction using the Nikiforov-Uvarov method
Approximate analytical bound-state solutions of the Dirac particle in the fields of attractive and repulsive Rosen–Morse (RM) potentials including the Coulomb-like tensor (CLT) potential are obtained for arbitrary spin–orbit quantum number κ. The Pekeris approximation is used to deal with the spin–o...
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Published in: | Chinese physics B 2013-04, Vol.22 (4), p.87-93 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | Approximate analytical bound-state solutions of the Dirac particle in the fields of attractive and repulsive Rosen–Morse (RM) potentials including the Coulomb-like tensor (CLT) potential are obtained for arbitrary spin–orbit quantum number κ. The Pekeris approximation is used to deal with the spin–orbit coupling terms κ(κ ± 1)r 2 . In the presence of exact spin and pseudospin (p-spin) symmetries, the energy eigenvalues and the corresponding normalized two-component wave functions are found by using the parametric generalization of the Nikiforov–Uvarov (NU) method. The numerical results show that the CLT interaction removes degeneracies between the spin and p-spin state doublets. |
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ISSN: | 1674-1056 2058-3834 1741-4199 |
DOI: | 10.1088/1674-1056/22/4/040302 |