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The bound-state solutions of the Dirac equation for the screened Coulomb potential plus a ringshaped- like potential are determined using supersymmetry quantum mechanics and invariance method for arbitrary angular momentum state J. In the calculations, a proper approximate scheme for the centrifugal term is proposed and the un-normalized eigenfunctions are obtained in terms of the hypergeometric functions.

The Relativistic Screened Coulomb plus Ringed-Shaped-Like Potential via Shape-Invariance Approach