Partial wave analysis of J/ψ→γηη′
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Abstract
Based on a sample of $(10.09\ifmmode\pm\else\textpm\fi{}0.04)\ifmmode\times\else\texttimes\fi{}{10}^{9}$ $J/\ensuremath{\psi}$ events collected with the BESIII detector operating at the BEPCII storage ring, a partial wave analysis of the decay $J/\ensuremath{\psi}\ensuremath{\rightarrow}\ensuremath{\gamma}\ensuremath{\eta}{\ensuremath{\eta}}^{\ensuremath{'}}$ is performed. An isoscalar state with exotic quantum numbers ${J}^{PC}={1}^{\ensuremath{-}+}$, denoted as ${\ensuremath{\eta}}_{1}(1855)$, has been observed for the first time with statistical significance larger than $19\ensuremath{\sigma}$. Its mass and width are measured to be $(1855\ifmmode\pm\else\textpm\fi{}{9}_{\ensuremath{-}1}^{+6})\text{ }\text{ }\mathrm{MeV}/{c}^{2}$ and $(188\ifmmode\pm\else\textpm\fi{}{18}_{\ensuremath{-}8}^{+3})\text{ }\text{ }\mathrm{MeV}$, respectively. The first uncertainties are statistical and the second are systematic. The product branching fraction $\mathcal{B}(J/\ensuremath{\psi}\ensuremath{\rightarrow}\ensuremath{\gamma}{\ensuremath{\eta}}_{1}(1855))\mathcal{B}({\ensuremath{\eta}}_{1}(1855)\ensuremath{\rightarrow}\ensuremath{\eta}{\ensuremath{\eta}}^{\ensuremath{'}})$ is measured to be $(2.70\ifmmode\pm\else\textpm\fi{}{0.41}_{\ensuremath{-}0.35}^{+0.16})\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}$. In addition, an upper limit on the ratio of branching fractions $\mathcal{B}({f}_{0}(1710)\ensuremath{\rightarrow}\ensuremath{\eta}{\ensuremath{\eta}}^{\ensuremath{'}})/\mathcal{B}({f}_{0}(1710)\ensuremath{\rightarrow}\ensuremath{\pi}\ensuremath{\pi})$ is determined to be $1.61\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}$ at 90% confidence level, which lends support to the hypothesis that the ${f}_{0}(1710)$ has a large glueball component.
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