Abstract
A recent experiment in which an electron scattering off an atom at a resonance energy is excited to a higher resonance energy by absorption of a laser photon is analyzed. There is more than one mechanism for the reaction, but the cross section, as a function of the laser frequency, is shown to have only one peak for each pair of electron-atom resonance states which can be connected by absorption of a photon. The width of the peak is the width of the upper resonance state.