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Using 24.1 fb of collision data collected with the BESIII detector at the BEPCII collider, the Born cross sections and effective form factors of the reaction are measured. The measurements are performed at center-of-mass energies ranging from 3.510 to 4.951 GeV. No significant evidence for the decay of the charmonium(-like) states, , , , , , , and , into a final state is observed. Consequently, upper limits for the products of the branching fractions and the electronic partial widths at the 90% confidence level are reported for these decays.

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