APPLICATION OF MOMENTS METHOD TO DYNAMICS OF MUON COOLING SYSTEM. Page: 1 of 6
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Application of Moments Method to
Dynamics of Muon Cooling System
Zohreh Parsafi and Pavel Zenkevicht
t Department of Physics, Bldg. 901A
Brookhaven National Laboratory
PO Box 5000 Upton, NY 11973-5000
tInstitute for Theoretical and Experimental Physics
B Cheremushkinskaya Ulitsa 25, RU-117 259, Moscow, Russia
Abstract. Application of moments method to study dynamics of muon cooling
system is presented. The muon cooling channel has specific features such as
damping due to ionization cooling, heating due to multiple scattering and energy
struggling. Our method (in a case of transverse motion) is correct in absence of
longitudinal magnetic fields such as solenoids.
It is well known that moments method is successfully used for calculation
of the dynamics in different focusing channels. However, the muon cooling
channel has some specific features: a) damping due to ionization cooling;
b) heating due to multiple Coulomb scattering and energy struggling. In
our paper  on "Kinetics of Muon Longitudinal Cooling" we considered an
evolution of longitudinal beam moments in a system with constant parameters.
In this paper we investigate a more general case: a cooling system, consisting
of a number of sections, each of which has constant parameters. Our method
(in a case of transverse motion) is correct in absence of longitudinal magnetic
field (e.g. solenoids).
1) Supported by US Department of Energy Contract No. DE-AC02-76CH00016 and Na-
tional Science Foundation NSF-PHY-94-07194
1997 American Institute of Physics 1
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PARSA,Z. & ZENKEVICH,P. APPLICATION OF MOMENTS METHOD TO DYNAMICS OF MUON COOLING SYSTEM., article, December 3, 1996; [Upton, New York]. (digital.library.unt.edu/ark:/67531/metadc892494/m1/1/: accessed September 26, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.