Phys. Rev. Lett. 97, 104801 (2006) [4 pages]Fundamental Limit of Nonscaling Fixed-Field Alternating-Gradient AcceleratorsReceived 14 March 2006; published 6 September 2006 Systematic nonlinear space-charge resonances may cause substantial emittance growth in the nonscaling fixed-field alternating-gradient (FFAG) accelerators. To avoid systematic nonlinear space-charge resonances, the phase advance of each nonscaling FFAG cell must avoid π/2 and π/3. Using multiparticle numerical simulations, we empirically obtain a minimum tune ramp rate vs the systematic 4th order space-charge resonance strength. We also find that the emittance growth obeys a simple scaling property when the betatron tunes cross the linear half-integer and sum resonances. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.97.104801
DOI:
10.1103/PhysRevLett.97.104801
PACS:
29.27.−a, 41.75.−i, 52.59.Sa
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