Validity of the independent-processes and isolated-resonance approximations for electron-ion recombination

Abstract
We examine the physics behind the continued success of the independent-processes and isolated-resonance approximations in predicting the high-resolution recombination cross sections observed in the current generation of electron-ion experiments. First-step extensions of theory to include the effects of radiative-dielectronic recombination interference, overlapping-resonance structures, and scattering-channel coupling are shown to be relatively small for these recombination experiments.