ABSTRACT
Various designs and ideas have been developed for cooling of short lived muon beams in neutrino factories and muon colliders[2]. The concept of cooLing is based on ionization through material[3. 4. 5. 6], and to reduce cooling time, normally the system has a combined structure, consisting of absorbing material. accelerating cavities and guiding magnets]2. 71. Because of the huge transversal emittance of muon beams. the consideration of nonlinear effects is an essential component in an earlier design stage. Lately. several designs of ring coolers have been considered because of the ability to utilize cooling sections repeatedly. and the additional potential for transversal and longitudinal emittance exchange. ln this paper. we analyze a muon beam ring cooler designed by V. Balbekov[ I]. The layout of the system is shown in Figure I .
