Two methods of fast cooling of intensive beams are described. The first one, coherent electron cooling, is based on enhancement of friction effect in the electron cooling method using a microwave instability of electron beam specially arranged in the cooling section. This method is effective for cooling of high‐temperature circulating beams. The second one, self‐cooling, is based on use of the intrabeam Coulomb scattering of particles during the adiabatic processes of beam acceleration and transverse compression. This method allows frequent decrease emittance of an intensive beam issued by a low‐temperature source
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