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A fully quantum-mechanical analysis is presented of the process in which an incident proton excites both a nuclear resonance and, by electron emission, also a hole in theK-shell which then decays by X-ray emission. The ratio of the intensities of the X-rays emitted before and after compound-nucleus decay is calculated (a) for the case of an isolated nuclear resonance, and (b) for strongly overlapping resonances. We show that in both cases the measured quantity is a branching ratio. The influence of the energy-resolution of the detectors, of the energy spread of the incident beam, and of the structure of the wave packets describing the individual particles in the incident beam is discussed.

Analysis of the coincidence method for comparing atomic and nuclear lifetimes