Dalitz analysis of the decayD0→K−π+π0

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Abstract

We use data collected with the CLEO II detector to perform a high-statistics measurement of the resonant substructure in ${D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{0}$ decays. We find that the Dalitz plot is well represented by a combination of seven quasi-two-body decay channels $[{K}^{*0}{\ensuremath{\pi}}^{0},{K}^{\ensuremath{-}}\ensuremath{\rho},{K}^{*\ensuremath{-}}{\ensuremath{\pi}}^{+},{K}_{0}{(1430)}^{\ensuremath{-}}{\ensuremath{\pi}}^{+},{K}_{0}{(1430)}^{0}{\ensuremath{\pi}}^{0},{K}^{\ensuremath{-}}{\ensuremath{\rho}}^{+}(1700),$ and ${K}^{*}{(1680)}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}],$ plus a small non-resonant component. We see no evidence of a scalar $\stackrel{\ensuremath{\rightarrow}}{\ensuremath{\kappa}}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$ resonance in the mass range recently reported by other groups. Using the amplitudes and phases from this analysis, we calculate an integrated $\mathrm{CP}$ asymmetry of $\ensuremath{-}0.031\ifmmode\pm\else\textpm\fi{}0.086.$

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