Muon Transverse Ionization Cooling: Stochastic Approach

Details Muon Transverse Ionization Cooling: Stochastic Approach Muon Transverse Ionization Cooling: Stochastic Approach

1995-03-31

arxiv.org/abs/acc-phys/9503003v1

Phys.Rev.E52:1039-1042,1995

Physics

Accelerator Physics

Latex uses revtex, 9 pages; submitted to Phys. Rev E

Scientific paper

10.1103/PhysRevE.52.1039

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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