Resonances and beam loss in high intensity rings

Operation of high-intensity rings requires minimal beam loss. Among numerous effects which contribute to losses in rings, the interplay of excited resonances is typically an unavoidable source of halo and beam loss. Such resonances can be driven by space charge itself, magnet errors or a combined effect of both. In this paper we review several resonant effects which can limit beam intensity in a circular machine. The space-charge limit and selection of a working point in the ring are also discussed.