The Cherenkov-Compton effect in particle physics

Abstract

The two-photon production by motion of a charged particle in a medium is considered. This process is called Cherenkov-Compton effect because the production of photons is calculated from the Feynman diagram for the Compton effect in a medium. This process is not forbidden in quantum electrodynamics of dielectric media. The cross section of his process in Mandelstam variables is calculated for pair of photons with one moving at the opposite direction to the electron motion and the second one inside Cherenkov cone. The opposite motion is not caused by the collision with a particle of a medium . The relation of this process to the CERN experiments is considered.