Study ofΥ(3S,2S)→ηΥ(1S)andΥ(3S,2S)→π+π−Υ(1S)hadronic transitions

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Abstract

We study the $\mathit{\ensuremath{\Upsilon}}(3S,2S)\ensuremath{\rightarrow}\ensuremath{\eta}\mathit{\ensuremath{\Upsilon}}(1S)$ and $\mathit{\ensuremath{\Upsilon}}(3S,2S)\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}\mathit{\ensuremath{\Upsilon}}(1S)$ transitions with $122\ifmmode\times\else\texttimes\fi{}{10}^{6}\mathit{\ensuremath{\Upsilon}}(3S)$ and $100\ifmmode\times\else\texttimes\fi{}{10}^{6}\mathit{\ensuremath{\Upsilon}}(2S)$ mesons collected by the BABAR detector at the PEP-II asymmetric-energy ${e}^{+}{e}^{\ensuremath{-}}$ collider. We measure $\mathcal{B}[\mathit{\ensuremath{\Upsilon}}(2S)\ensuremath{\rightarrow}\ensuremath{\eta}\mathit{\ensuremath{\Upsilon}}(1S)]=(2.39\ifmmode\pm\else\textpm\fi{}0.31(\mathrm{stat}.)\ifmmode\pm\else\textpm\fi{}0.14(\mathrm{syst}.))\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$ and $\ensuremath{\Gamma}[\mathit{\ensuremath{\Upsilon}}(2S)\ensuremath{\rightarrow}\ensuremath{\eta}\mathit{\ensuremath{\Upsilon}}(1S)]/\ensuremath{\Gamma}[\mathit{\ensuremath{\Upsilon}}(2S)\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}\mathit{\ensuremath{\Upsilon}}(1S)]=(1.35\ifmmode\pm\else\textpm\fi{}0.17(\mathrm{stat}.)\ifmmode\pm\else\textpm\fi{}0.08(\mathrm{syst}.))\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}$. We find no evidence for $\mathit{\ensuremath{\Upsilon}}(3S)\ensuremath{\rightarrow}\ensuremath{\eta}\mathit{\ensuremath{\Upsilon}}(1S)$ and obtain $\mathcal{B}[\mathit{\ensuremath{\Upsilon}}(3S)\ensuremath{\rightarrow}\ensuremath{\eta}\mathit{\ensuremath{\Upsilon}}(1S)]<1.0\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$ and $\ensuremath{\Gamma}[\mathit{\ensuremath{\Upsilon}}(3S)\ensuremath{\rightarrow}\ensuremath{\eta}\mathit{\ensuremath{\Upsilon}}(1S)]/\phantom{\rule{0ex}{0ex}}\ensuremath{\Gamma}[\mathit{\ensuremath{\Upsilon}}(3S)\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}\mathit{\ensuremath{\Upsilon}}(1S)]<2.3\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}$ as upper limits at the 90% confidence level. We also provide improved measurements of the $\mathit{\ensuremath{\Upsilon}}(2S)\ensuremath{-}\mathit{\ensuremath{\Upsilon}}(1S)$ and $\mathit{\ensuremath{\Upsilon}}(3S)\ensuremath{-}\mathit{\ensuremath{\Upsilon}}(1S)$ mass differences, $562.170\ifmmode\pm\else\textpm\fi{}0.007(\mathrm{stat}.)\ifmmode\pm\else\textpm\fi{}0.088(\mathrm{syst}.)\text{ }\text{ }\mathrm{MeV}/{c}^{2}$ and $893.813\ifmmode\pm\else\textpm\fi{}0.015(\mathrm{stat}.)\ifmmode\pm\else\textpm\fi{}0.107(\mathrm{syst}.)\text{ }\text{ }\mathrm{MeV}/{c}^{2}$, respectively.

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