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Dirac Equation in an Axial Coulomb Potential

Authors:	D. Macdonald D. G. C. McKeon

Abstract:	We consider solutions to the Dirac equation in the presence of an external axial vector potential $A_{mu } left( x right) = left( {vec 0,e/left\| {vec r} right\|} right)$ coupled to the spinor field psi through the interaction term $- e{bar psi gamma }_{mu } {gamma }_{5} {gamma }A^{mu }$ . There turn out to be no bound-state energies in this system consistent with a normalizable wave function.

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