ICAP 2002 Abstracts and Posters
Stochastic Processes in Cooling Channels
Abstract
A 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
that 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. The
Vavilov distribution reduces to the Landau distribution in
the limit of a small number of scatters and the Gaussian
distribution in the limit of a large number of scatters.
Examples of the interplay between stochastic processes and
deterministic beam dynamics will be given.
D. Errede, M. Berz, C.J. Johnstone, K. Makino and A. Van Ginneken
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