Abstract
A method for using betatron coupling to suppress partial snake driven resonances in a synchrotron is described. While the partial snakes permit avoidance of the strong resonances associated with the vertical betatron motion of the particles, they also excite numerous weak resonances associated with the horizontal betatron motion. These resonances occur whenever the fractional spin tune equals the fractional horizontal betatron tune. Since these are the same frequencies at which depolarizing resonances from betatron coupling occur, coupling resonances can be intentionally driven to exactly cancel the resonance driving terms of the partial snakes, thereby avoiding polarization loss due to these resonance crossings. Presented here is an explicit derivation of the partial snake driven resonances as betatron sidebands of strong imperfection resonances and a description of a practical scheme for their correction using the Brookhaven AGS as an example. Tracking results that verify the suppression via coupling are presented.
Highlights
Schoefer *Brookhaven National Laboratory, Upton, New York, 11950, USA (Received 29 December 2020; accepted 22 February 2021; published 3 March 2021)
Partial Siberian snakes have been used successfully to overcome the depolarizing effects of vertical imperfection and intrinsic resonances encountered during the acceleration of polarized protons to high energy [1,2]
Partial snakes provide a method to accelerate polarized beams in medium energy, GeV scale synchrotrons that may not have sufficient straight section length or aperture available for full, 180° spin flip snakes like those used in high energy rings [4]
Summary
Brookhaven National Laboratory, Upton, New York, 11950, USA (Received 29 December 2020; accepted 22 February 2021; published 3 March 2021). While the partial snakes permit avoidance of the strong resonances associated with the vertical betatron motion of the particles, they excite numerous weak resonances associated with the horizontal betatron motion. These resonances occur whenever the fractional spin tune equals the fractional horizontal betatron tune. Presented here is an explicit derivation of the partial snake driven resonances as betatron sidebands of strong imperfection resonances and a description of a practical scheme for their correction using the Brookhaven AGS as an example. Tracking results that verify the suppression via coupling are presented
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