Abstract

Experiments reveal that single-particle resonances, driven by field imperfections, limit the 8 GeV acceptance of the NAL main accelerator to protons with betatron oscillation amplitudes less than 8 mm. It is observed that resonances driven by random azimuthal field fluctuations are much weaker than those driven by average field errors acting in concert with the super-periodicity of the accelerator. This consideration dictates the choice of operating tune. Correction magnets are installed to compensate zero harmonic skew quadrupole, sextupole, and octupole errors. Separate control of dv x dp , dv y dp , d 2v x dp 2 , and d 2v y dp 2 is possible in an energy-dependent manner. High azimuthal harmonic patterns of correction magnets are used to eliminate dipole, quadrupole, sextupole, and skew sextupole resonances adjacent to the operating point. A description of these systems and the improvements obtained are given.

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