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  • Open Access

Transverse stability with nonlinear space charge

M. Blaskiewicz

  • Collider Accelerator Department, Brookhaven National Laboratory, Upton, New York 11973

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Phys. Rev. ST Accel. Beams 4, 044202 – Published 13 April, 2001

DOI: https://doi.org/10.1103/PhysRevSTAB.4.044202

Abstract

Transverse stability with nonlinear space charge is studied within the context of coasting beams. For bare tune spreads originating from chromaticity or frequency slip, the space charge tune spread has a fairly small effect and the incoherent space charge force is well modeled by a transverse capacitance. For tune spreads due to octupoles or fringe fields, beams are more stable when the bare tune increases with betatron amplitude.

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References (14)

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Phys. Rev. ST Accel. Beams 4, 044202– Published 13 April, 2001
  • Received 5 January 2001
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This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

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