  New exact analytical bound-state solutions of the radial Dirac equation in
3+1 dimensions for two sets of couplings and radial potential functions are
obtained via mapping onto the nonrelativistic bound-state solutions of the
one-dimensional generalized Morse potential. The eigenfunctions are expressed
in terms of generalized Laguerre polynomials, and the eigenenergies are
expressed in terms of solutions of equations that can be transformed into
polynomial equations. Several analytical results found in the literature,
including the Dirac oscillator, are obtained as particular cases of this
unified approach.
