Partial wave analysis of J/ψ→γη′η′

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Abstract

Using 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, a partial wave analysis of $J/\ensuremath{\psi}\ensuremath{\rightarrow}\ensuremath{\gamma}{\ensuremath{\eta}}^{\ensuremath{'}}{\ensuremath{\eta}}^{\ensuremath{'}}$ is performed. The masses and widths of the observed resonances and their branching fractions are reported. The main contribution is from $J/\ensuremath{\psi}\ensuremath{\rightarrow}\ensuremath{\gamma}{f}_{0}(2020)$ with ${f}_{0}(2020)\ensuremath{\rightarrow}{\ensuremath{\eta}}^{\ensuremath{'}}{\ensuremath{\eta}}^{\ensuremath{'}}$, which is found with a significance of greater than $25\ensuremath{\sigma}$. The product branching fraction $\mathcal{B}(J/\ensuremath{\psi}\ensuremath{\rightarrow}\ensuremath{\gamma}{f}_{0}(2020))\ifmmode\cdot\else\textperiodcentered\fi{}\mathcal{B}({f}_{0}(2020)\ensuremath{\rightarrow}{\ensuremath{\eta}}^{\ensuremath{'}}{\ensuremath{\eta}}^{\ensuremath{'}})$ is measured to be $(2.63\ifmmode\pm\else\textpm\fi{}0.06(\mathrm{stat}.{)}_{\ensuremath{-}0.46}^{+0.31}(\mathrm{syst}.))\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$.

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