Muon cooling channels

Parameters of muon cooling channels are discussed that achieve cooling of a muon beam from initial to final emittances in all three degrees of freedom in a given length. Published theories of ionisation cooling yield equilibrium emittances from multiple scattering and energy straggling, and partition numbers. Limits are obtained on the amplitude functions in all three degrees of freedom. Parameters of wedge-shaped absorbers and partition numbers are derived for simultaneous longitudinal and transverse cooling. Limits on length and material of absorbers, and dispersion at the wedge-shaped absorbers are obtained. Parameters are presented for the RF system, e.g. peak voltage, frequency, and stable phase angle. The properties of the magnetic lattice which satisfies the conditions imposed by the longitudinal dynamics are studied. The consequences of changes in the assumed performance of the cooling channel on its parameters are discussed.