On the Suppression of the Collective Beam-Beam Instability of Long Bunches*
نویسنده
چکیده
In storage rings with very low frequency of synchrotron oscillations coherent beam-beam instabilities can be suppressed due to the “phase averaging” effect, which recently was described by S. Krishnagopal and R. Siemann for the incoherent beam-beam instability. In this paper using the Vlasov’s equation we calculate the form factors, which renormalize beam-beam parameters of coherent beam-beam oscillations. This results in the variations of stability criteria as well as widths of stopbands of unstable modes for bunches with lengths comparable with p-function at the interaction point.
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تاریخ انتشار 1991