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Paper   IPM / Physic / 7332
School of Physics
  Title:   Effect of Space Charge on Linear Coupling and Gradient Errors in High-Intensity Rings
  Author(s): 
1.  M. Aslaninejad
2.  I. Hofmann
  Status:   Published
  Journal: Phys. Rev. STAB
  Vol.:  6
  Year:  2003
  Pages:   124202
  Supported by:  IPM
  Abstract:
We study the response of coasting beams in the presence of space charge to linear coupling as well as gradient errors, based on linearizing the self-consistent Vlasov-Poisson equation. We determine the coherent shift of the resonance conditions as well as the response on lattice errors in smooth approximation, but allowing for arbitrary tune and/or emittance ratios. A characteristic feature is cancellation between the external forces due to the lattice errors and the beam induced space-charge forces, if the resonance condition is satisfied for the (space-charge shifted) single-particle tunes. For the linear coupling mode and small tune split we also identify a parameter region, where spontaneous instability exists in addition to the resonance.

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