QED effects in scattering processes involving atomic bound states: Radiative recombination

The standard S-matrix formulation cannot generally be used in the treatment of atomic scattering processes, involving bound-state QED effects, due to the special type of singularity that can here appear. This type of singularity can be handled by means of methods designed for structure calculations. It is essentially a consequence of the optical theorem that similar techniques can be applied also in scattering processes. The optical theorem for free particles gives a relation between the effective Hamiltonian and the cross section, a relation that is valid also when bound states are present. We have found that the method with the Covariant-evolution-operator/Green's operator that we have developed primarily for structure problems can here be applied in a rather straightforward manner. The new procedure is demonstrated for the case of radiative recombination.