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The electronic states in the monolayer graphene with the short-rangeperturbation asymmetric with respect to the band index are analized. The studywas made for the separable in the angular momentum representation potentialbasing on the (2+1)-dimensional Dirac equation. The characteristic equation forbound and resonance states obtained in the present paper is compared with onederived earlier for the same problem with different approach. The momentumrepresentation approach used in the present paper allowed us to obtain thesatisfactory regularization of the Hadamar incorrect boundary problem stemmingfrom the potential singularity.

Regularization of the spectral problem for the monolayer graphene with  the separable in the angular momentum representation singular potential of  defect