Study and Optimal Correction of a Systematic Skew Quadrupole Field in the Tevatron
Abstract
Increasing demands for luminosity in existing and future colliders have made
lattice design and error tolerance and correction critical to achieving
performance goals. The current state of the Tevatron collider is an example,
with a strong skew quadrupole error present in the operational lattice. This
work studies the high order performance of the Tevatron and the strong
nonlinear behavior introduced when a significant skew quadrupole error is
combined with conventional sextupole correction, a behavior still clearly
evident after optimal tuning of available skew quadrupole circuits. An
optimization study is performed using different skew quadrupole families, and,
importantly, local and global correction of the linear skew terms in maps
generated by the code COSY INFINITY [1].
Two correction schemes with one
family locally correcting each arc and eight independent correctors in the
straight sections for global correction are proposed and shown to dramatically
improve linearity and performance of the baseline Tevatron lattice.
P. Snopok, C. Johnstone, M. Berz, D. Ovsyannikov, A. Ovsyannikov,
Nuclear Instruments and Methods A558 (2005) 142-146
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