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.
@article{arxiv.acc-phys/9503003,
title = {Muon Transverse Ionization Cooling: Stochastic Approach},
author = {Richard C. Fernow and Juan C. Gallardo},
journal= {arXiv preprint arXiv:acc-phys/9503003},
year = {2008}
}
Comments
Latex uses revtex, 9 pages; submitted to Phys. Rev E