Abstract
Transverse ionization cooling of muons is modeled as a Brownian motion of the muon beam as it traverses a Li or Be rod. A Langevin-like equation is written for the free particle case (no external transverse magnetic field) and for the case of a harmonically bound beam in the presence of a focusing magnetic field. We demonstrate that the well-known muon cooling equations for short absorbers can be extrapolated to the useful case of a long absorber rod with a focusing magnetic field present.
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