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cool se e he c llide r 2004 Published by Elsevier B.V. colliding particles in m –m colliders [2,3]. An US-recirculating devices or rings. The liabilities of muons are that they decay, with a lifetime of cavities (Fig. 1). The losses are parallel to the particle motion, and therefore include transverse ARTICLE IN PRESS2.2 106Em/mm s, and that they are created through decay into a diffuse phase space. But the and longitudinal momentum losses; the reaccelera-tion restores only longitudinal momentum. The loss of transverse momentum reduces particle emittances, cooling the beam. However, the random process of multiple scattering in th