Quantum-correlated measurements of D ?→? K S 0 π + π ? π 0 decays and consequences for the determination of the CKM angle γ

摘要

A bstract We perform quantum-correlated measurements of the decay D ?→? K ~(S)_(0) π _(+) π _(?) π _(0)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 K ~(S)_(0) π _(+) π _(?) π _(0)phase space by binning around the intermediate resonances present. The potential sensitivity of the results for determining the CKM angle γ from B _(±)?→? D ( K ~(S)_(0) π _(+) π _(?) π _(0)) K _(±)decays is also discussed.