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abstract:
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Coherent instabilities of particle beams in circular accelerators and storage rings have been the subject of many theoretical and experimental works. The coherent instabilities discussed are produced by the electromagnetic interaction of the charged particle beam with the walls of the vacuum chamber in which the beam is moving. The author reviews the general problem of the longitudinal stability of bunched beams. Although there is no general solution it is possible to identify regions in the frequency-risetime space where one can obtain approximate solutions. An expression for the collective oscillation frequency is presented and expressions for the effective coupling impedance are given for the high or low frequency and slow and fast blow-up regimes. (14 References).
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