Betatron resonances with space charge

Physics

Scientific paper

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Beam Dynamics, Collective Effects And Instabilities

Scientific paper

The point is made that betatron resonances do not occur at the incoherent value of the tune, but rather at the frequencies of the appropriate collective modes. This has important implications not only for the design of high intensity, low energy proton synchrotrons, but also for the interpretation of machine studies at existing synchrotrons of this type.

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