Solutions of Dirac equation for a new improved pseudo-Coulomb ring-shaped potential

We proposed a new solvable novel pseudo-Coulomb ring-shaped potential and investigate its pseudospin symmetry by solving the Dirac equation under the condition of an equal mixing of scalar and vector potentials using the factorization techniques. We determine in closed form the energy eigenvalues and eigenfunctions of the bound states of the Dirac equation analytically. We also discuss the non-relativistic limits.