Spectator excitation accompanying core Auger decay in atoms: a hydrogenic model

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Abstract
The response of an electron in a hydrogenic nl-orbital to a sudden change in central charge is investigated. This system is taken as a model for the interaction encountered by a Rydberg (spectator) electron when the core atomic system undergoes Auger decay. The most likely outcome is found to be a shake-up to final-state orbitals of quantum number . Calculations are carried out for values of n up to 50. The probabilities for spectator shake-up, shake-down, and no-shake tend to constants for larger n, and are found to be 90.3%, 8.7%, and 1.0% respectively for the Z = 1 case. The probability of shake-off is found to be small, less than 0.3% for low n, and decreasing as for larger n. The trends found in the hydrogenic case are shown to be in close agreement with Hartree - Fock calculations for the spectator Auger transitions .
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