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Stability of off-axis motion for intense particle beams in periodically focusing channels

Jorge S. Moraes·Renato Pakter·Felipe B. Rizzato
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Abstract

A general equation for the centroid motion of free, continuous, intense beams propagating off-axis in solenoidal periodic focusing fields is derived. The centroid equation is found to be independent of the specific beam distribution and may exhibit unstable solutions. A new Vlasov equilibrium for off-axis beam propagation is also obtained. Properties of the equilibrium and the relevance of centroid motion to beam confinement are discussed.

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Jorge S. Moraes, Renato Pakter, Felipe B. Rizzato. 2004-10-19. Stability of off-axis motion for intense particle beams in periodically focusing channels. https://arxiv.org/abs/physics/0410156

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