Macroscopic Fluid Approach to the Coherent Beam-Beam Interaction

Details Macroscopic Fluid Approach to the Coherent Beam-Beam Interaction Macroscopic Fluid Approach to the Coherent Beam-Beam Interaction

2001-04-27

arxiv.org/abs/physics/0104086v1

Conf.Proc.C0106181:2078-2080,2001

Physics

Accelerator Physics

LaTeX, 3 pages, To be presented at the Particle Accelerator Conference (PAC 2001)

Scientific paper

Building on the Radon transform of the Vlasov-Poisson equations, a macroscopic fluid model for the coherent beam-beam interaction has been developed. It is shown that the Vlasov equation, expressed in action-angle variables, can be reduced to a closed set of hydrodynamic (fluid) equations for the beam density and current velocity. The linearized one dimensional equations have been analysed, and explicit expressions for the coherent beam-beam tuneshifts are presented.

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