Design of transverse muon-cooling channels for a neutrino factory

Ionization cooling is the preferred method for transverse cooling of a muon beam in a neutrino factory. In this paper, we design two different cooling channels, a DF0F0 channel and an alternating solenoid channel, and show that the transverse beam emittance through these cooling channels is cooled down by a factor of 7.7 and 6.5, respectively. The cooling channel design has been carried out by invoking the ICOOL program. Transmission efficiency, transverse beam emittance, growth of longitudinal bunch length, and momentum spread are investigated. It is shown that these two cooling channels provide adequate cooling performance, satisfying the so-called Palmer, Johnson and Keil (PJK) parameter for a neutrino factory. It is also shown that the numerical results agree well with those of analytical formulae.