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Based on a data sample of (1.0087+-0.0044)x10^10 Jpsi events collected by theBESIII detector at the BEPCII accelerator, the absolute branching fraction (BF)of the decay Jpsi->gamma eta is measured with high precision using events inwhich the radiative photon converts to e+e-. Using the measured absolute BF ofJpsi->gamma eta, the absolute BFs of four dominant eta decay modes are measuredfor the first time. The results are B(Jpsi->gamma eta) =(1.067+-0.005+-0.023)x10^-3, B(eta->gamma gamma) = (39.86+-0.04+-0.99)%,B(eta->pi0pi0pi0) = (31.96+-0.07+-0.84)%, B(eta->pi+pi-pi0) =(23.04+-0.03+-0.54)%, and B(eta->pi+pi-gamma) = (4.38+-0.02+-0.10)%, where thefirst and second uncertainties are statistical and systematic, respectively.The results are consistent with the world average values within two standarddeviations.

Measurement of the absolute branching fractions of Jpsi to gamma eta and eta decay modes