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A simulation study of linear coupling effects and their correction in RHIC

Technical Report ·
DOI:https://doi.org/10.2172/6896985· OSTI ID:6896985

This paper describes a possible skew quadrupole correction system for linear coupling for the RHIC92 lattice. A simulation study has been done for the correction system. Results are given for the performance of the correction system, and the required strength of the skew quadruple correctors. An important effect of linear coupling in RHIC is to shift the tune [nu][sub x] [nu][sub y], sometimes called tune splitting. Most of this tune splitting can be corrected with a two family skew quadrupole correction system. For RHIC92, the same 2 family correction system will work for all likely choices of [beta]*. This was not the case for the RHIC91 lattice where different families of correctors were needed for different [beta]*. The tune splitting described above which is corrected with a 2 family correction system is driven primarily by the [nu][sub x] [minus] [nu][sub y] harmonic of the skew quadrupole field given by the field multipole [alpha]l. There are several other effects of linear coupling present which are driven primarily by the [nu][sub x] + [nu][sub y] harmonics of the skew quadrupole field, [alpha]l. These include the following: (1) A higher order residual tune shift that remains after correction with the 2 family correction system. This tune shift is roughly quadratic in [alpha]l; (2) Possible large changes in the beta functions; (3) Possible increase in the beam size at injection due to the beta function distortion and the emittance distortion at injection.

Research Organization:
Brookhaven National Lab., Upton, NY (United States)
Sponsoring Organization:
DOE; USDOE, Washington, DC (United States)
DOE Contract Number:
AC02-76CH00016
OSTI ID:
6896985
Report Number(s):
BNL-48344; AD/RHIC--116; ON: DE93005542
Country of Publication:
United States
Language:
English