Phys. Rev. ST Accel. Beams 4, 044202 (2001) [9 pages]Transverse stability with nonlinear space charge
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. 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. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevSTAB.4.044202
DOI:
10.1103/PhysRevSTAB.4.044202
PACS:
29.27.-a
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