Study of spin resonances in the accelerators with snakes

Conference · Fri May 05 00:00:00 EDT 1989 · AIP Conference Proceedings (American Institute of Physics); (USA)

OSTI ID:5034581

Lee, S Y ^[1]

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1. Brookhaven National Laboratory, Upton, NY 11973 (USA)

Spin resonances in the circular accelerators with snakes are studied to understand the nature of snake resonances. We analyze the effect of snake configuration, and the snake superperiod on the resonance. Defining the {ital critical} {ital resonance} {ital strength} {epsilon}{sub {ital c}} as the maximum tolerable resonance strength without losing the beam polarization after passing through the resonance, we found that {epsilon}{sub {ital c}} is a sensitive function of the snake configuration, the snake superperiod at the first order snake resonance, the higher order snake resonance conditions and the spin matching condition. Under properly designed snake configuration, the critical resonance strength {epsilon}{sub {ital c}} is found to vary linearly with {ital N}{sub {ital S}} as {l angle}{epsilon}{sub {ital c}}{r angle}=(1/{pi})sin{sup {minus}1}(cos {pi}{nu}{sub z}{vert bar}{sup 1/2})N{sub S}, where {nu}{vert bar}{sub z} and N{sub S} are the betatron tune and the number of snakes respectively. We also study the effect of overlapping intrinsic and imperfection resonances. The imperfection resonance should be corrected to a magnitude of insignificance (e.g., {epsilon}{le}0.1 for two snakes case) to maintain proper polarization.

• OSTI ID: 5034581
• Report Number(s): CONF-880983-; CODEN: APCPC; TRN: 90-004219
• Journal Information: AIP Conference Proceedings (American Institute of Physics); (USA), Vol. 187:2; Conference: 8. international symposium on high energy spin physics, Minneapolis, MN (USA), 12-17 Sep 1988; ISSN 0094-243X
• Country of Publication: United States
• Language: English

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