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Study on the conditions required for the transverse stability of a coasting beam in proton storage rings
A general theory of the transverse instability of coasting beams in circular accelerators produced by the interaction of the beam charge and current with its electromagnetic environment is presented. The theory allows to numerically calculate the threshold current for an arbitrary frequency versus momentum curve. The numerical solution is used to study the stability of a coasting beam in a high energy proton storage ring like ISABELLE during the stacking process and for a full intensity beam.doi:10.2172/5038776 fatcat:qypzuqgaarbvtbqix6kfxngn7m