Title :
Observation and simulation of nonlinear behavior of betatron oscillations during the beam-beam collision
Author :
Ieiri, Takao ; Hirata, Kohji
Author_Institution :
KEK, Ibaraki, Japan
Abstract :
It is pointed out that, when electron and positron beams collide in a storage ring, the space charge force of one of the beams gives the other beam a transverse kick. This beam-beam force is nonlinear. When an additional kick is applied to the beam, coherent oscillations will occur. It is difficult to solve such a nonlinear forced oscillation analytically and exactly. In the present work, the nonlinear oscillation was studied experimentally using a tune measurement system. In addition, a simple program was used to simulate the nonlinear beam-beam force
Keywords :
beam handling equipment; beam handling techniques; electron-positron interactions; storage rings; beam-beam collision; beam-beam force; betatron oscillations; coherent oscillations; electron beams; nonlinear behavior; nonlinear forced oscillation; positron beams; space charge force; storage ring; transverse kick; tune measurement system; Bones; Computational modeling; Computer simulation; Electron beams; Hysteresis; Positrons; Resonance; Resonant frequency; Space charge; Storage rings;
Conference_Titel :
Particle Accelerator Conference, 1989. Accelerator Science and Technology., Proceedings of the 1989 IEEE
Conference_Location :
Chicago, IL
DOI :
10.1109/PAC.1989.73303