Investigation Of The Flat-Beam Model Of The Beam-Beam Interaction
PROCEEDINGS OF THE 2003 PARTICLE ACCELERATOR CONFERENCE, VOLS 1-5(2003)
Abstract
At the interaction point of a storage ring collider each beam is subject to perturbations due to the electromagnetic field of the counter-rotating beam. For flat beams, a well known approximation models the beam by a current sheet which is uniform in the horizontal plane, restricting the particle motion to the vertical direction. In this classical model a water-bag beam distribution is used to find working points and beam-beam tune shift parameters which lead to a stable beam distribution. We try to find stability criteria for a more realistic Gaussian equilibrium distribution. In order to analyze the instabilities, a linearized Vlasov equation is solved computing radial and angular modes to first order in the displacement from the design trajectory.
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Key words
particle beam diagnostics,storage rings,Gaussian equilibrium distribution,beam-beam interaction,beam-beam tune shift parameters,counter-rotating beam,design trajectory,electromagnetic field,flat beam model,horizontal plane,interaction point,particle motion,stability criteria,stable beam distribution,storage ring collider,vertical direction,water-bag beam distribution,
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