Production of a short high-intensity bunch for a μ~+μ~- collider is considered. The system designed and simulated includes: 24 GeV proton driver; jet mercury target; 30 m phase rotation channel; bunch compressor based on a ring cooler with an intensive emittance exchange; RFOFO ring cooler for 6D cooling; linear Li lens channel for final transverse cooling. The cooled muon bunch contains about 0.046 muons per incident proton at transverse and longitudinal emittance 0.48 mm and 12 mm. Total merit factor of the system is of order 10~4.
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