Exact solutions of Dirac equation with Pöschl–Teller double-ring-shaped Coulomb potential via Nikiforov–Uvarov method

Exact analytical solutions of the Dirac equation are reported for the Pöschl–Teller double-ring-shaped Coulomb potential. The radial, polar, and azimuthal parts of the Dirac equation are solved by using the Nikiforov–Uvarov method, and exact bound state energy eigenvalues and the corresponding two-component spinor wavefunctions are reported.