The Čerenkov-Compton effect in particle physics

The two-photon production by motion of a charged particle in a medium is considered. This process is called Čerenkov-Compton effect (ČCE) 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 this 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 Čerenkov 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.