  We introduce non-minimal coupling to three-vector potential in the 3+1
dimensional Dirac equation. The potential is noncentral (angular-dependent)
such that the Dirac equation separates completely in spherical coordinates. The
relativistic energy spectrum and spinor wavefunctions are obtained for the case
where the radial component of the vector potential is proportional to 1/r. The
non-minimal coupling presented in this work is a generalization of that which
was introduced by Moshinsky and Szczepaniak in the Dirac-Oscillator problem.
