Tune modulation due to gradient ripple and the dynamic aperture
A tracking study was done of the effects of a tune modulation, due to a gradient ripple in the quadrupoles, on the dynamic aperture in RHIC lattices. Using tracking runs of about 1 {times} 10{sup 6} turns, the dynamic aperture was found to decrease roughly linearly with the amplitude of the tune modulation, and may be represented by A = A{sub 0}(1 {minus} 42 {Delta}{nu}) where A{sub 0} is the dynamic aperture for {Delta}{nu} = 0, and {Delta}{nu} is the tune modulation amplitude. Two RHIC lattices were studied. One with 6 insertions having {beta}* = 6m, and one with 6 insertions having {beta}* = 2m. Roughly the same results was found for both lattices. The dependence of the dynamic aperture on the frequency of the gradient ripple was also studied. No appreciable dependence on the ripple frequency was found for the range covered in the ripple frequency and in the tune modulation amplitude.
- Research Organization:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 10192967
- Report Number(s):
- BNL-49640; AD/RHIC-124; ON: DE94002422; TRN: 94:000098
- Resource Relation:
- Other Information: PBD: Oct 1993
- Country of Publication:
- United States
- Language:
- English
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