Measurement of Branching Fractions and Charge Asymmetries in B+ Decays to ηπ+ , ηK+ , ηρ+ , and η′π+ , and Search for B0 Decays to ηK0 and ηω

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We present measurements of branching fractions and charge asymmetries for six $B$-meson decay modes with an $\ensuremath{\eta}$ or ${\ensuremath{\eta}}^{\ensuremath{'}}$ meson in the final state. The data sample corresponds to $232\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $B\overline{B}$ pairs collected with the BABAR detector at the PEP-II asymmetric-energy ${e}^{+}{e}^{\ensuremath{-}}$ $B$ Factory at SLAC. We measure the branching fractions (in units of ${10}^{\ensuremath{-}6}$): $\mathcal{B}({B}^{+}\ensuremath{\rightarrow}\ensuremath{\eta}{\ensuremath{\pi}}^{+})=5.1\ifmmode\pm\else\textpm\fi{}0.6\ifmmode\pm\else\textpm\fi{}0.3$, $\mathcal{B}({B}^{+}\ensuremath{\rightarrow}\ensuremath{\eta}{K}^{+})=3.3\ifmmode\pm\else\textpm\fi{}0.6\ifmmode\pm\else\textpm\fi{}0.3$, $\mathcal{B}({B}^{0}\ensuremath{\rightarrow}\ensuremath{\eta}{K}^{0})=1.5\ifmmode\pm\else\textpm\fi{}0.7\ifmmode\pm\else\textpm\fi{}0.1$ ($<2.5$ at 90% C.L.), $\mathcal{B}({B}^{+}\ensuremath{\rightarrow}\ensuremath{\eta}{\ensuremath{\rho}}^{+})=8.4\ifmmode\pm\else\textpm\fi{}1.9\ifmmode\pm\else\textpm\fi{}1.1$, $\mathcal{B}({B}^{0}\ensuremath{\rightarrow}\ensuremath{\eta}\ensuremath{\omega})=1.0\ifmmode\pm\else\textpm\fi{}0.5\ifmmode\pm\else\textpm\fi{}0.2$ ($<1.9$ at 90% C.L.), and $\mathcal{B}({B}^{+}\ensuremath{\rightarrow}{\ensuremath{\eta}}^{\ensuremath{'}}{\ensuremath{\pi}}^{+})=4.0\ifmmode\pm\else\textpm\fi{}0.8\ifmmode\pm\else\textpm\fi{}0.4$, where the first uncertainty is statistical and second systematic. For the charged modes we also determine the charge asymmetries, all found to be compatible with zero.

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