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.
Observation and Simulation of Nonlinear Behavior of Betatron Oscillations
運用要項