Approximate bound state solutions of Dirac equation with Hulthén potential including Coulomb-like tensor potential |
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Authors: | Sameer M Ikhdair |
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Institution: | a Physics Department, Near East University, Nicosia, North Cyprus, Turkey b Physics Department, Middle East Technical University, 06531 Ankara, Turkey |
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Abstract: | We solve the Dirac equation approximately for the attractive scalar S(r) and repulsive vector V(r) Hulthén potentials including a Coulomb-like tensor potential with arbitrary spin-orbit coupling quantum number κ. In the framework of the spin and pseudospin symmetric concept, we obtain the analytic energy spectrum and the corresponding two-component upper- and lower-spinors of the two Dirac particles by means of the Nikiforov-Uvarov method in closed form. The limit of zero tensor coupling and the non-relativistic solution are obtained. The energy spectrum for various levels is presented for several κ values under the condition of exact spin symmetry in the presence or absence of tensor coupling. |
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Keywords: | Dirac equation Spin and pseudospin symmetry Bound states Tensor potential Hulthé n potential Nikiforov-Uvarov method |
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