  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.
