Abstract
The authors find the exact localized solutions of a class of nonlinear Dirac equations perturbed by a point interaction potential, that is, any sharply peaked potential approaching the delta -function limit. A detailed analysis of the existence conditions of these localized solutions is carried out. They show that their results agree with non-relativistic predictions when both the self-coupling and the point interaction potential are weak. Lower bounds to the size of the localized solutions are presented.
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