
A problem of coupled-beam instability is solved for two multibunch beams with slightly different revolution frequencies, as in the Fermilab Recycler Ring (RR). Sharing of the inter-bunch growth rates between the intra-bunch modes is described. The general analysis is applied to the RR; possibilities to stabilize the beams by means of chromaticity and feedback are considered.
Minor textual corrections and more comprehensible Fig.1, compared with the previous version. 10 pages, 14 figures. Accepted by PRAB
Accelerator Physics (physics.acc-ph), Nuclear and particle physics. Atomic energy. Radioactivity, FOS: Physical sciences, Physics - Accelerator Physics, QC770-798
Accelerator Physics (physics.acc-ph), Nuclear and particle physics. Atomic energy. Radioactivity, FOS: Physical sciences, Physics - Accelerator Physics, QC770-798
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