  We explore the problem of atomic collapse in graphene by monopole impurities,
both electric and magnetic, within the context of supersymmetric quantum
mechanics. For electric impurities, upon factorizing the radial Dirac
Hamiltonian and identifying the supercharges, existence of a critical charge
that makes the ground state {\em fall-into-the-center} translates into lost of
hermicity for the corresponding Hamiltonian and hence lost of unitarity of the
theory. For the problem of magnetic monopole impurities, preservation of
unitarity for all values of the parameters of the corresponding potential
translates into the absence of atomic collapse in this case.
