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Chromaticity correction in large storage rings

Conference · · IEEE Trans. Nucl. Sci.; (United States)
OSTI ID:7294896
The method of attack used at PEP to solve the problem of both satisfactory chromaticity correction and stable non-linear motion is discussed. The method consists first of analytically determining the effect of the sextupoles on the equilibrium orbit chi/sub e/ through second order in delta = ..delta..p/p and the tune variation through both third order in delta and second order in the transverse betatron amplitude x/sub ..beta../ and y/sub ..beta../. Next the sectupole arrangements are determined to minimize these variations. The sextupole arrangements determined in this manner are then included in defining the complete PEP lattice. Using this lattice various tracking programs are used to determine the dependence of the equilibrium orbit, tune shift, and betatron functions upon the particle momentum and the stability as a function of betatron amplitude. We have included the synchrotron motion in several of the tracking programs and obtain the frequency spectrum of the particle motion in addition to the usual phase space plots.
OSTI ID:
7294896
Conference Information:
Journal Name: IEEE Trans. Nucl. Sci.; (United States) Journal Volume: NS-24:3
Country of Publication:
United States
Language:
English