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Depolarizing 'beat' resonances in the Brookhaven AGS

Conference · · IEEE Trans. Nucl. Sci.; (United States)
OSTI ID:6399984
While accelerating polarized protons in the Brookhaven AGS we found a variant of the standard imperfection and intrinsic depolarizing resonances which has some of the properties of both types. Imperfection resonances occur at G..gamma.. = k, when the number of spin precessions per revolution, G gamma, equals a harmonic of the depolarizing field, k. Intrinsic resonances occur at G..gamma.. = nP + or - ..nu.. /SUB Z/ , when the AGS gradient periodicities, nP, modulate free vertical betatron oscillations to create the sum and difference frequencies. The variant resonance is a beat between nP and an imperfection driven betatron oscillation of periodicity k'. These occur at G..gamma.. = nP + or - k', and are strongest when the driven betatron oscillation is largest. The effect was most dramatic at the strong G..gamma.. = 27 resonance. Since ..nu.. /SUB Z/ = 8.8 for the AGS, and there is a major nP = 36 AGS periodicity, a strong beat resonance should exist at G gamma = 36-9 = 27. Applying a 27 /SUP th/ harmonic correction directly was unsuccessful, but a 9 /SUP th/ harmonic correction removed the depolarization.
Research Organization:
University of Michigan, Ann Arbor, Michigan
OSTI ID:
6399984
Report Number(s):
CONF-850504-
Conference Information:
Journal Name: IEEE Trans. Nucl. Sci.; (United States) Journal Volume: NS-32:5
Country of Publication:
United States
Language:
English