Phys. Rev. ST Accel. Beams 4, 044202 (2001) [9 pages]

Transverse stability with nonlinear space charge

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M. Blaskiewicz
Collider Accelerator Department, Brookhaven National Laboratory, Upton, New York 11973

Received 5 January 2001; published 13 April 2001

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.


©2001 The American Physical Society

URL: http://link.aps.org/abstract/PRSTAB/v4/e044202
DOI: 10.1103/PhysRevSTAB.4.044202
PACS: 29.27.-a

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