Abstract
The Fermilab Tevatron I project includes two rings. One is an Accumulator Ring where subsequent pulses of antiprotons are accumulated by stochastic momentum stacking and the other is the Debuncher Ring. In this paper we describe the design of the Debuncher. The lattice of the Debuncher has been designed with three goals. First, the ring must fit closely around the Accumulator. Second, the lattice must be able to satisfy the primary function of the ring, which is bunch rotation and debunching of an antiproton beam before it is transferred to the Accumulator. Finally, fast betatron stochastic cooling in two seconds must be included to keep the Accumulator aperture as small as possible. In this paper we describe all the features lattice designed to meet these requirements.

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