Cross sections for electron capture by protons

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Abstract
Average values of differential cross sections for electron capture by protons, as calculated using the wave version of the first Born approximation, are defined for neutral atomic targets that are randomly oriented with respect to the direction of incidence. Only for transitions between S states of the atomic target and the residual ion are the constituent cross sections independent of the orientation of the atomic frame of reference. The averaging procedure, used to remove the dependence upon the relative orientation between the atomic frame of reference and the direction of incidence, is exemplified by a calculation of the averages for transitions from S states to P states, and P states to P states.

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