Quantum-correlated measurements of D → K <inf>S</inf>⁰ Ï€ ⁺ Ï€ ^− Ï€ ⁰ decays and consequences for the determination of the CKM angle γ

We perform quantum-correlated measurements of the decay D → KS0π+π−π0 using a data sample corresponding to an integrated luminosity of 0.82 fb−1 collected at the ψ(3770) resonance by the CLEO-c detector. The value of the CP -even fraction F+ is determined to be 0.238 ± 0.012 ± 0.012. The strong-phase differences are also measured in different regions of KS0π+π−π0 phase space by binning around the intermediate resonances present. The potential sensitivity of the results for determining the CKM angle γ from B± → D(KS0π+π−π0)K± decays is also discussed.