Abstract
The quantum effect of anomalous inelastic scattering of an X-ray photon by an ep-electron of the 1s → ep continuous spectrum of the state of atom photoionization is predicted theoretically. It is established that, in the region of elastic photon scattering by an electron of the continuous spectrum, together with the known contribution of the Thomson component (l = 0), there appears a contribution of the infinite (and countable) number of scattering harmonics l ∈ [1;∞]. As an object of the investigation, the Be atom is taken. The absolute values and shape of the triple differential cross section of the elastic, normal, and anomalous Compton scattering have been obtained.
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