Abstract
The analytical structure of the double differential cross section of contact inelastic scattering of an X-ray photon by a free atom is established by the methods of the theory of irreducible tensor operators beyond impulse approximation. For the example of an Ne atom in the energy region of the ionization threshold of the 1 s shell, the existence of a fine structure of the cross section caused by transitions of electrons of the atomic core to excited states of the discrete spectrum is predicted theoretically. The results of the calculation with the effects of radial relaxation, inelastic scattering via the formation of intermediate states, and elastic Rayleigh scattering taken into account are predictive in character and, at the incident photon energy of 22 keV, are in good agreement with the results of the synchrotron experiment.
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