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Observation of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>B</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>ρ</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mn>0</mml:mn></mml:msup></mml:math>and measurement of its branching fraction and charge asymmetry
We present the first observation of the decay ${B}^{+}\ensuremath{\rightarrow}{\ensuremath{\rho}}^{+}{K}^{0}$, using a data sample of $348\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ collected at the $\ensuremath{\Upsilon}(4S)$ resonance with the BABAR detector. The branching fraction and charge asymmetry are measured to be $({8.0}_{\ensuremath{-}1.3}^{+1.4}\ifmmode\pm\else\textpm\fi{}0.6)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}$ and $(\ensuremath{-}12.2\ifmmode\pm\else\textpm\fi{}16.6\ifmmode\pm\else\textpm\fi{}2.0)%$, respectively, where the first uncertainty is statistical and the second is …