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For a nonrelativistic atom, which is minimally coupled to the quantizedradiation field, resonances emerging from excited atomic eigenstates areconstructed by an iteration scheme inspired by \cite{Pizzo2003} and\cite{BachFrohlichPizzo2006}. This scheme successively removes an infrared cutoff in momentum space and yields a convergent algorithm enabling us tocalculate the resonance eigenvalues and eigenstates, to arbitrary order in thefeinstructure constant $\alpha \sim 1/137$, and is thus an alternative methodof proof of a similar result obtained in \cite{Sigal2010}.

Existence and Construction of Resonances for Atoms Coupled to the Quantized Radiation Field