The monochromatization of a beam of charged particles by Cherenkov interaction

The possibility of monochromatization of a real beam of charged particles (possessing energy spread and angle divergence) as a result of Cherenkov interaction with laser radiation in a medium is shown. The refraction index of the medium, the Cherenkov angle and the intensity of the wave, necessary for this effect are determined by the initial parameters of the beam. For the real parameters of the beam of charged particles and the laser radiation the degree of monochromatization reaches several orders. A method of raising the monochromaticy of the charged particles of a beam is suggested.