Muon Transverse Ionization Cooling: Stochastic Approach
arXiv:acc-phys/9503003 · doi:10.1103/PhysRevE.52.1039
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.
Latex uses revtex, 9 pages; submitted to Phys. Rev E
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