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Particle Motion in the Stable Region Near an Edge of a Linear Sum Resonance Stopband

1996/01/11 by G. Parzen, Parzen, G.
Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #FOS: Physical sciences #acc-phys #physics.acc-ph

paper · pdf · doi:10.48550/arxiv.acc-phys/9601001

20 pages, gzipped texsis paper

arxiv created 1996/01/11 · arxiv updated 2009/11/30

Abstract

This paper studies the particle motion when the tune is in the stable region close to the edge of linear sum resonance stopband. Results are found for the tune and the beta functions. Results are also found for the two solutions of the equations of motion. The results found are shown to be also valid for small accelerators where the large accelerator approximation may not be used.

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