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

Physics – Accelerator Physics

Scientific paper

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20 pages, gzipped texsis paper

Scientific paper

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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