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Optimized stochastic cooling requires special ion optical conditions in a storage ring. The frequency slip factor strongly influences the mixing factor, and strong requirements have to be fulfilled by the unwanted mixing of the path from pickup to kicker and the wanted mixing on the way from kicker to pickup. Several ideas for a lattice with "irregular" momentum compaction factor have been investigated. The influence of possible lattice modifications to the stochastic cooling performance for COSY will be discussed. Investigations of a lattice optimized for the stochastic cooling in HESR will be summarized.
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