S Y Lee et al 2006 New J. Phys. 8 291 doi:10.1088/1367-2630/8/11/291
S Y Lee1,2,3, G Franchetti2, I Hofmann2, F Wang1 and L Yang1
Show affiliationsPart of Focus on Accelerator and Beam Physics
Systematic space-charge resonances are found to cause substantial emittance growth in proton driver rings and non-scaling fixed field alternating gradient (FFAG) accelerators. To avoid systematic nonlinear resonances, the phase advance of each cell must avoid π/2 and π/3. This limits the betatron tune range and the momentum acceptance for non-scaling FFAG accelerators. The emittance growth factor (EGF), defined as the ratio of final emittance to the initial emittance, is found to obey scaling properties in the linear space-charge tune shift parameter, the tune ramping rate, and stop-band widths of random quadrupole and skew-quadrupole errors.
29.27.Bd Beam dynamics; collective effects and instabilities
Accelerators, beams and electromagnetism
Issue 11 (November 2006)
Received 30 May 2006
Published 28 November 2006
S Y Lee et al 2006 New J. Phys. 8 291
G. Usaj and H. U. Baranger 2005 Europhys. Lett. 72 110