Abstract
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.
Highlights
We present the first quantum-correlated analysis of the decay D → KS0π+π−π0, which has a branching fraction of 5.2% [3], which is large compared to that of other multibody final states
We determine the CP -even fraction F+ of the decay which makes it potentially useful in a quasi-GLW [4, 5] analysis along with other CP eigenstates [6]. This multibody self-conjugate decay occurs via many intermediate resonances, such as KS0ω and K∗±ρ∓, if the strong-phase difference variation over the phase space is known, a GGSZ-style [7, 8] analysis to determine γ from this final state alone is possible
The double-tagged decays in which both the D mesons decay to the same final state of KS0π+π−π0 can give information about F+ following the relation given in eq (2.6)
Summary
Decays of the vector meson ψ(3770) produce pairs of D mesons in a P -wave state and the wave function for the decay is antisymmetric. The CP -even fraction F+f of a D decay to final-state f can be determined from samples in which both D mesons are fully reconstructed; these we term “double-tagged” events. In the case that one decay is reconstructed in final state f and the other to a CP eigenstate g, the double-tagged yield in the integrated phase space can be written in terms of F+, the CP eigenvalue λgCP and the branching fractions for the states D → f and D → g, B(f ). The single-tagged yield, where only one of the D meson decays is reconstructed, is given by. Events where both the D mesons decay to the same final state f provide useful information about F+.
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