6D μ± cooling using a solenoid-dipole ring cooler for a muon collider

Six dimensional cooling of large emittance μ+ and μ− beams is required in order to obtain the desired luminosity for a muon collider. We propose to use a ring cooler that employs both dipoles and solenoids with the additional requirement that the arcs of the ring be achromatic. We describe the lattice and the beam dynamics of the proposed ring, and demonstrate that the lattice gives substantial cooling in all 6 phase space dimensions.