Exact solution of the Dirac equation for a singular central power potential

We compute an exact solution of the Dirac equation for a certain power law potential that consists of two parts: a scalar and a vector, where the latt er contains a Coulomb term. We obtain energies that turn out to depend only on the strength of the Coulomb Dart of the potential, but not on the remai ning power law part. We show that our ansatz also yields a bound state solu tion for the lowest excited state. This work is an extension of Franklins result.(7).