Dalitz analysis of the three-body charmless decaysB+→K+π+π−andB+→K+K+K−

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Abstract

We report results on the Dalitz analysis of three-body charmless ${B}^{+}\ensuremath{\rightarrow}{K}^{+}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ and ${B}^{+}\ensuremath{\rightarrow}{K}^{+}{K}^{+}{K}^{\ensuremath{-}}$ decays based on a $140{\text{ }\text{ }\mathrm{fb}}^{\ensuremath{-}1}$ data sample collected with the Belle detector. Measurements of branching fractions for quasi-two-body decays to scalar-pseudoscalar states: ${B}^{+}\ensuremath{\rightarrow}{f}_{0}(980){K}^{+}$, ${B}^{+}\ensuremath{\rightarrow}{K}_{0}^{*}(1430{)}^{0}{\ensuremath{\pi}}^{+}$, and to vector-pseudoscalar states: ${B}^{+}\ensuremath{\rightarrow}{K}^{*}(892{)}^{0}{\ensuremath{\pi}}^{+}$, ${B}^{+}\ensuremath{\rightarrow}{\ensuremath{\rho}}^{0}{K}^{+}$, ${B}^{+}\ensuremath{\rightarrow}\ensuremath{\phi}{K}^{+}$ are presented. Upper limits on decays to some pseudoscalar-tensor final states are reported. We also report the measurement of the ${B}^{+}\ensuremath{\rightarrow}{\ensuremath{\chi}}_{c0}{K}^{+}$ branching fraction in two ${\ensuremath{\chi}}_{c0}$ decays channels: ${\ensuremath{\chi}}_{c0}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ and ${\ensuremath{\chi}}_{c0}\ensuremath{\rightarrow}{K}^{+}{K}^{\ensuremath{-}}$.

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