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arxiv: 1510.01636 · v2 · pith:UWKAOAVPnew · submitted 2015-10-01 · ⚛️ nucl-th · quant-ph

The effect of tensor interaction in splitting the energy levels of relativistic systems

classification ⚛️ nucl-th quant-ph
keywords energypseudo-spinspinsymmetrydiraceckarteigen-valueshulthen
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In this paper we solve analytically Dirac equation for Eckart plus Hulthen potentials with Coulomb-like and Yukawa-like tensor interaction in the presence of Spin and Pseudo-spin Symmetry for any k number. The Parametric Nikiforov-Uvarov method is used to obtain the energy Eigen-values and wave functions. We also discuss the energy Eigen-values and the Dirac spinors for the Eckart plus Hulthen potentials for the spin and pseudo-spin symmetry with PNU method. To show the accuracy of the present model, some numerical results are shown in both pseudo-spin and spin symmetry limits.

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