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Branching fraction measurements of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mo>→</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>η</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mi>K</mml:mi></mml:math>decays
We study the decays ${B}^{+}\ensuremath{\rightarrow}{\ensuremath{\eta}}_{c}{K}^{+}$ and ${B}^{0}\ensuremath{\rightarrow}{\ensuremath{\eta}}_{c}{K}^{0},$ where the ${\ensuremath{\eta}}_{c}$ is reconstructed in the ${K}_{S}^{0}{K}^{\ifmmode\pm\else\textpm\fi{}}{\ensuremath{\pi}}^{\ensuremath{\mp}}$ and ${K}^{+}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{0}$ decay modes. Results are based on a sample of 86 million $B\overline{B}$ pairs collected with the BABAR detector at the SLAC ${e}^{+}{e}^{\ensuremath{-}}$ B Factory. We measure the product of branching fractions $\mathcal{B}{(B}^{+}\ensuremath{\rightarrow}{\ensuremath{\eta}}_{c}{K}^{+})\ifmmode\times\else\texttimes\fi{}\mathcal{B}({\ensuremath{\eta}}_{c}\ensuremath{\rightarrow}K\overline{K}\ensuremath{\pi})=(7.40\ifmmode\pm\else\textpm\fi{}0.50\ifmmode\pm\else\textpm\fi{}0.70)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}$ and …