On coherent radiation by relativistic electrons in ultrathin crystals

A quantitative theory of the radiation process by ultrarelativistic electrons in ultrathin crystals is proposed. The theory is based upon the factorization theorem of the radiation cross-section and upon the description of the scattering process on the basis of the eikonal approximation of quantum electrodynamics. The conditions are obtained, under which the effect of radiation suppression in ultrathin crystals must take place. It is shown that these conditions may be fulfilled at the interaction of electrons with the energy accessible on CERN accelerator with ultrathin silicon crystals. Since the last years one can produce such crystals for the experiments in high energy physics. This opens new possibilities in study of interaction of high energy particles with matter.