Abstract
We performed an experiment at Fermilab to search for CP symmetry nonconservation in the decay K S 0 → π + π − π 0. Todate CP violation has only been observed in K L 0 decays. We collected π + π − π 0 decays between 0.6 and 7.6 K S lifetimesfrom the production target, and searched for interference between the coherent K S and K L decays. Our detector consisted of amagnetic spectrometer and a lead glass electromagnetic calorimeter. A double-beam, double-target method was used to controlsystematic uncertainties. K S 0 → π + π − decays that were collected simultaneously provided an important normalization. Theresult is Im( η+-0) = −0.015±0.017 (stat.) ± 0.025 (syst.) with the theoretical constraint Re( η+-0) = Re( ϵ).
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