where ⃗ K denotes the wavevector of the graphene's K-point, δ is the energy of adatom resonance (in other words describing the detuning of resonance from the Dirac point), v0 is the electron Fermi velocity, W is electron half-bandwidth and K0, K1 are modified Bessel functions of the second kind 97 . The above integral may be significantly simplified if we notice that the Bessel functions might be approximated by their asymptotic, leading to the following expression for the same-sublattice repulsive interaction (AA case)