The Residual Tune Splitting in the Presence of the Linear Coupling
- Brookhaven National Lab. (BNL), Upton, NY (United States)
The presence of random skew quadrupole field errors will couple the x and y motions. The x and y motions are then each given by the sum of 2 normal modes with the tunes v1 and v2, which may differ appreciably from vx and vy, the unperturbed tunes. This is often called tune splitting since |v1-v2| is usually larger than |vx-vy|. This tune splitting may be large in proton accelerators using superconducting magnets, because of the relatively large random skew quadrupole field errors that are expected in these magnets. This effects is also increased by the required insertions in proton colliders which generate large β-functions in the insertion region.
- Research Organization:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- AC02-98CH10886
- OSTI ID:
- 1119336
- Report Number(s):
- BNL-101994-2013-IR
- Country of Publication:
- United States
- Language:
- English
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