Title :
Approximate Physical Treatment of the Beam-Beam Effects
Author_Institution :
Fermi National Accelerator Laboratory P.O. Box 500 Batavia, Illinois 60510
fDate :
6/1/1981 12:00:00 AM
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;
Journal_Title :
Nuclear Science, IEEE Transactions on
DOI :
10.1109/TNS.1981.4331706
