Abstract
A study of self-energy corrections to the RPA dielectric function shows the possibility of a new X-ray scattering process (XCPS) in which both a plasmon and an electron-hole pair are created simultaneously. Appropriate energy-momentum conservation equations are formulated and solved. The differential scattering cross section for XCPS is obtained in a simple way and numerical calculations are presented for the case of CrKbeta 1 radiation incident on beryllium. The XCPS lineshape is asymmetric and consists of two components arising from the RPA dielectric function and the plasmon singularity of the self-energy function. The total intensity under XCPS is about 10 per cent of that under the pure plasmon scattered spectrum.
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