Design and simulation studies of an ionization cooling channel using lithium lenses and solenoid transport channels

The successful design of a high luminosity muon collider requires that the six dimensional phase-space of the muon beam generated by pion decay be reduced by a factor of ~(10⁵-10⁶) before it enters the collider. This “beam cooling” has to take effect in a time scale comparable to the lifetime of the muon. Because of this time limitation, Ionization Cooling is the preferred option for the muon collider. In this paper we discuss the design issues for an Ionization Cooling channel based on lithium lenses and solenoid transport channels and we present simulation results obtained using a detailed tracking code with a complete model of muon-atom interactions. Cooling results for a minimal configuration of two lithium lenses and one matching section are presented, for beams with a normalized transverse emittance of 0.0067 m-rad. The cooling factor obtained is ~1.5