Does Dirac equation for a generalized Coulomb-like potential in D+1 dimensional flat space-time admit any solution for D≥4?

The relativistic hydrogen atom in a Euclidean space-time of arbitrary number of space dimensions (D) plus one time dimension is revisited. In particular, numerical solutions of the radial Dirac equation for a generalized Coulombian potential proportional to 1/r(D−2) are investigated. It is argued that one could not find any physical solution for D≥4.