Stochastic Processes in Muon Ionization Cooling
AbstractA muon ionization cooling channel consists of three major components: the magnet optics, an acceleration cavity,
and an energy absorber. The absorber of liquid hydrogen contained by thin aluminum windows is the only component
which introduces stochastic processes into the otherwise deterministic acceleration system. The scattering dynamics of
the transverse coordinates is described by Gaussian distributions. The asymmetric energy loss function is represented by
the Vavilov distribution characterized by the minimum number of collisions necessary for a particle undergoing loss of
the energy distribution average resulting from the Bethe–Bloch formula. Examples of the interplay between stochastic
processes and deterministic beam dynamics are given.
D. Errede, K. Makino, M. Berz, C. Johnstone, A. van Ginneken, Nuclear Instruments and Methods A519 (2004) 466-471
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