MUON TRANSVERSE IONIZATION COOLING - STOCHASTIC APPROACH

Authors
FERNOW RC GALLARDO JC
Citation
Rc. Fernow et Jc. Gallardo, MUON TRANSVERSE IONIZATION COOLING - STOCHASTIC APPROACH, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(1), 1995, pp. 1039-1042
Citations number
22
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
52
Issue
1
Year of publication
1995
Part
B
Pages
1039 - 1042
Database
ISI
SICI code
1063-651X(1995)52:1<1039:MTIC-S>2.0.ZU;2-0
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 equa tion is written for the free particle case (no external transverse mag netic field) and for the case of a harmonically bound beam in the pres ence of a focusing magnetic field. We demonstrate that the well-knows muon cooling equations for short absorbers can be extrapolated to the useful case of a long absorber rod with a focusing magnetic field pres ent.