DocumentCode
857245
Title
Approximate Physical Treatment of the Beam-Beam Effects
Author
Teng, Lee C.
Author_Institution
Fermi National Accelerator Laboratory P.O. Box 500 Batavia, Illinois 60510
Volume
28
Issue
3
fYear
1981
fDate
6/1/1981 12:00:00 AM
Firstpage
2402
Lastpage
2404
Abstract
When the beam-beam force is approximated as a periodic ¿-function non-linear potential kicks, it is expected to excite a continuum(density of rational numbers) of resonances. The totality of resonance within a narrow "width" of the betatron oscillation tune contribute to a diffusion-like amplitude growth as if the kicks are random. A semi-quantitative formulation is derived and applied to electron colliding beams.
Keywords
Electron beams; Integral equations; Laboratories; Nonlinear dynamical systems; Nonlinear equations; Positrons; Stochastic resonance; Stochastic systems; Time domain analysis;
fLanguage
English
Journal_Title
Nuclear Science, IEEE Transactions on
Publisher
ieee
ISSN
0018-9499
Type
jour
DOI
10.1109/TNS.1981.4331706
Filename
4331706
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