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Search for $η$ and $η'$ Invisible Decays in $J/ψ\toϕη$ and $ϕη'$

Using a sample of $(225.3\pm 2.8)\times 10^{6}$ $J/ψ$ decays collected with the BESIII detector at BEPCII, searches for invisible decays of $η$ and $η^\prime$ in $J/ψ\toϕη$ and $ϕη^\prime$ are performed. Decays of $ϕ\to K^{+}K^{-}$ are used to tag the $η$ and $η^\prime$ decays. No signals above background are found for the invisible decays, and upper limits at the 90% confidence level are determined to be $2.58\times10^{-4}$ for the ratio $\frac{\mathcal{B}(η\to\rm{invisible})}{\mathcal{B}(η\toγγ)}$ and $2.39\times10^{-2}$ for $\frac{\mathcal{B}(η^\prime\to\rm{invisible})}{\mathcal{B}(η^\prime \toγγ)}$.