DocumentCode
344946
Title
Analytical investigation on the halo formation in space charge dominated beams
Author
Gao, J.
Author_Institution
LAL, Orsay, France
Volume
3
fYear
1999
fDate
1999
Firstpage
1812
Abstract
It is assumed that fermion particles, such as electron and proton, in a matched beam follow Fermi-Dirac statistics in the equilibrium state. Parametric resonances, chaotic motion, and halo formation in transverse direction of motion are investigated analytically. The analytical expressions for the parametric resonances and the maximum transverse position deviation, above which chaotic motion starts to occur due to transverse beam envelope oscillation, are derived. Analytical formula for the current loss rate is established
Keywords
chaos; fermion systems; particle beam dynamics; particle beam stability; resonance; space charge; Fermi-Dirac statistics; chaotic motion; current loss rate; equilibrium state; fermion particles; halo formation; matched beam; maximum transverse position deviation; parametric resonances; space charge dominated beams; transverse beam envelope oscillation; Chaos; Differential equations; Electron beams; Motion analysis; Parametric statistics; Particle beams; Production; Protons; Resonance; Space charge;
fLanguage
English
Publisher
ieee
Conference_Titel
Particle Accelerator Conference, 1999. Proceedings of the 1999
Conference_Location
New York, NY
Print_ISBN
0-7803-5573-3
Type
conf
DOI
10.1109/PAC.1999.794268
Filename
794268
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