Abstract

Using nonrelativistic Coulomb functions in the spherical polar coordinates, atomic Compton profiles are calculated in the form factor or exact hydrogenic (EH) approximation. A three-term recurrence relation is shown to facilitate a straightforward evaluation of the Gaussian hypergeometric functions which characterize the bound–free matrix elements under consideration. Numerical data for EH L-shell profiles of elements from 10Ne to 14Si and 18Ar are compared with those obtained in the impulse approximation. While the impulse profile is symmetric about the profile center, the EH profile exhibits energy defect. Based on analysis of the present data, the dynamical origin of such defects is investigated.

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