First model-independent determination of the relative strong phase between D0 and D̄0→KS0π+π- and its impact on the CKM angle γ/Φ3 measurement

We exploit the quantum coherence between pair-produced D 0 and D 0 in Ψ(3770) decays to make a first determination of the relative strong phase differences between D 0 → K 0 S π + π - and D 0 → K 0 S π + π - which are of great importance in determining the Cabibbo-Kobayashi-Maskawa angle γ/Φ 3 in B - → D 0 (D 0 )K - decays. Using 818 pb -1 of e + e - collision data collected with the CLEO-c detector at E cm = 3.77 GeV, we employ a binned Dalitz-plot analysis of K 0 S π + π - and K 0 L π + π - decays recoiling against flavor-tagged, CP-tagged, and K 0 S π + π - -tagged events to determine these strong phase differences.