Improved measurement of the branching fractions for J/ψ→γπ0, γη, and γη′

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Abstract

Using a data sample of $(1.0087\ifmmode\pm\else\textpm\fi{}0.0044)\ifmmode\times\else\texttimes\fi{}{10}^{10}\text{ }\text{ }J/\ensuremath{\psi}$ events collected with the BESIII detector, the decays of $J/\ensuremath{\psi}\ensuremath{\rightarrow}\ensuremath{\gamma}{\ensuremath{\pi}}^{0}(\ensuremath{\eta},{\ensuremath{\eta}}^{\ensuremath{'}})\ensuremath{\rightarrow}\ensuremath{\gamma}\ensuremath{\gamma}\ensuremath{\gamma}$ are studied. Newly measured branching fractions are $\mathcal{B}(J/\ensuremath{\psi}\ensuremath{\rightarrow}\ensuremath{\gamma}{\ensuremath{\pi}}^{0})=\phantom{\rule{0ex}{0ex}}(3.34\ifmmode\pm\else\textpm\fi{}0.02\ifmmode\pm\else\textpm\fi{}0.09)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}$, $\mathcal{B}(J/\ensuremath{\psi}\ensuremath{\rightarrow}\ensuremath{\gamma}\ensuremath{\eta})=(1.096\ifmmode\pm\else\textpm\fi{}0.001\ifmmode\pm\else\textpm\fi{}0.019)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}$, and $\mathcal{B}(J/\ensuremath{\psi}\ensuremath{\rightarrow}\ensuremath{\gamma}{\ensuremath{\eta}}^{\ensuremath{'}})=\phantom{\rule{0ex}{0ex}}(5.40\ifmmode\pm\else\textpm\fi{}0.01\ifmmode\pm\else\textpm\fi{}0.11)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}$, where the first uncertainties are statistical and the second are systematic. These results are consistent with the world average values within two standard deviations. The ratio of partial widths $\mathrm{\ensuremath{\Gamma}}(J/\ensuremath{\psi}\ensuremath{\rightarrow}\ensuremath{\gamma}{\ensuremath{\eta}}^{\ensuremath{'}})/\mathrm{\ensuremath{\Gamma}}(J/\ensuremath{\psi}\ensuremath{\rightarrow}\ensuremath{\gamma}\ensuremath{\eta})$ is measured to be $4.93\ifmmode\pm\else\textpm\fi{}0.13$. The singlet-octet pseudoscalar mixing angle ${\ensuremath{\theta}}_{P}$ is determined to be ${\ensuremath{\theta}}_{P}=\ensuremath{-}(22.11\ifmmode\pm\else\textpm\fi{}0.26)\ifmmode^\circ\else\textdegree\fi{}$ or $\ensuremath{-}(19.34\ifmmode\pm\else\textpm\fi{}0.34)\ifmmode^\circ\else\textdegree\fi{}$ with two different phenomenological models.

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