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Observation of $e^{+}e^{-} \to ηJ/ψ$ at center-of-mass energy $sqrt{s}=4.009$ GeV

Using a 478 pb$^{-1}$ data sample collected with the BESIII detector operating at the BEPCII storage ring at a center-of-mass energy of $\sqrt{s}=4.009$ GeV, the production of $e^{+}e^{-}\to ηJψ$ is observed for the first time with a statistical significance of greater than $10σ$. The Born cross section is measured to be $(32.1\pm 2.8 \pm 1.3)$ pb, where the first error is statistical and the second systematic. Assuming the $ηJψ$ signal is from a hadronic transition of the $ψ(4040)$, the fractional transition rate is determined to be ${\cal B}(ψ(4040)\to ηJψ)=(5.2\pm 0.5\pm 0.2\pm 0.5)\times 10^{-3}$, where the first, second, and third errors are statistical, systematic, and the uncertainty from the $ψ(4040)$ resonant parameters, respectively. The production of $e^{+}e^{-} \to π^0 Jψ$ is searched for, but no significant signal is observed, and ${\cal B}(ψ(4040)\to π^0 Jψ) < 2.8 \times 10^{-4}$ is obtained at the 90% confidence level.