Lattices for the TRIUMF KAON factory

Separated-function racetrack lattices have been developed for the KAON Factory accelerators that have more flexibility than the old circular lattices. The arcs of the large rings have a regular FODO structure with a superimposed six-fold symmetric modulation of the betafunction in order to raise γt to infinity. Straight sections with zero dispersion are provided for rf cavities and fast injection and extraction, and with controlled dispersion for H- injection and slow extraction. For the small rings, sixfold symmetric circular lattices with high γt are retained. In the Accumulator lattice, a straight section with double waist and controlled η function allows for H- injection and phase-space painting. The ion-optical properties of the lattices and the results from tracking studies are discussed