title: Formulas for transverse ionization cooling in solenoidal focusing channels
abstract: Ionization cooling in solenoidal channels, such as that envisioned for the future muon colliders or neutrino factories, is studied. Assuming that the interaction with the ionization material is weak, the evolution of the transverse emittance and angular momentum can be determined analytically. Simple and practical formulas are derived for a general cooling configuration as well as for periodic channels. The prediction of these formulas agrees well with those obtained from simulation codes. The method developed here should be useful to other areas of beam physics involving solenoidal focusing.
authors.affiliation: University of Chicago, 5270 South Ellis Avenue, Chicago, Illinois 60637 and Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439, USA.
authors.initials: KJ
authors.lastname: Kim
authors.initials: Cx
authors.lastname: Wang