Parametric Resonance Ionization Cooling and Reverse Emittance Exchange for Muon Colliders. (COOL05 International Workshop, Galena, Illinis, September 19-23, 2005).
Two methods to cool muon beams deeply below the limit conventionally established for the ionization cooling are proposed. In Phase Ionization Cooling (PIC), the beam is focused at wedge absorber plates each half of particle oscillation period by imposing a weak parametric resonance along the beam path. The resonance growth of particle amplitude is surmounted by the ionization cooling. At optimum, such arrangement results in reduction of each of two transverse emittances by an order of value in addition to the preceding 6D ionization cooling. Next, resonance focusing and transverse cooling can be continued in the regime of a fast Reverse Emittance Exchange (REMEX). Here, the sign of the absorber wedge is opposite to PIC while the dispersion increased. REMEX to be accompanied by the bunch lengthening and acceleration in order to maintain the relative energy spread at an appropriate level. The limitations due to energy straggling in absorber will be evaluated, and possibilities of beam conditioning against aberrations and muon space charge will be illustrated for specific beam transports. Estimates of Muon Collider luminosity versus muon production rate will be presented.