Dynamic screening of core hole. I. Semiclassical model

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Abstract
Creation of a deep hole and a fast electron in a metal by an X-ray photon produces a dynamic relaxation of the surrounding electrons of the Fermi sea which is treated here in a semiclassical way. The authors emphasise the contribution of the plasmons which should be predominant far from threshold. They construct an energy-dependent effective potential acting on the photoelectron. They show the existence of a characteristic time t0 (a fraction of the plasmon period) necessary for the creation of plasmons: at a given distance r from the hole, the potential seen by the photoelectron of velocity nu is a statically screened potential when r/ nu >t0; when r/ nu 0 it presents a percentage of ionic character which is calculated. Finally, they discuss the notions of mean free path and effective time of transition.