Abstract
A new oscillatory ring-shaped noncentral potential is proposed and the pseudospin symmetry for this potential is investigated by solving the Dirac equation with equally mixed scalar and vector potentials with opposite signs. The spinor wave functions and the energy spectrum for the bound states are obtained by using the Nikiforov-Uvarov method. The effect of angle-dependent part on the radial solutions and the algebraic property of the energy equation are discussed.
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