Beam dynamics study of a muon cooling experiment with 200 MHz cavities in the framework of the CERN cooling study

Muon cooling is one of the building blocks for a Neutrino Factory. It has the potential to increase the muon flux at the detector by an order of magnitude. Different set-ups for the experimental observation of cooling are proposed and discussed by an international collaboration (MICE). In this paper we present the results of the tracking studies for a cooling experiment based on 200 MHz cavities with superconducting solenoids and liquid hydrogen absorbers. For 200 MeV muons passing through a system of 4 cavities at 7.6MV/m, the number of muons in a given acceptance increases by a factor of about 10%. This is believed to be well within capability of the measurement apparatus and sufficient to gather important information for the final design of a full-scale cooling channel.