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Muon Transverse Ionization Cooling: Stochastic Approach

Richard C. Fernow·Juan C. Gallardo
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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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Richard C. Fernow, Juan C. Gallardo. 1995-03-31. Muon Transverse Ionization Cooling: Stochastic Approach. https://doi.org/10.1103/physreve.52.1039

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