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arxiv: 1212.1828 · v1 · pith:SAMLBYM7new · submitted 2012-12-08 · 🪐 quant-ph

Relativistic symmetries in the Hulth\'en scalar-vector-tensor interactions

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keywords hulthinteractionp-spinscalar-vector-tensorspinsymmetriestensorused
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In the presence of spin and pseudospin (p-spin) symmetries, the approximate analytical bound states of the Dirac equation for scalar-vector-tensor Hulth\'en potentials are obtained with any arbitrary spin-orbit coupling number using the Pekeris approximation. The Hulth\'en tensor interaction is studied instead of the commonly used Coulomb or linear terms. The generalized parametric Nikiforov-Uvarov (NU) method is used to obtain energy eigenvalues and corresponding wave functions in their closed forms. We show that tensor interaction removes degeneracies between spin and p-spin doublets. Some numerical results are also given.

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