The numbers of ψ(3686) events accumulated by the BESIII detector for the data taken during 2009 and 2012 are determined to be (107.0±0.8)×10 6 and (341.1±2.1)×10 6 , respectively, by counting inclusive hadronic events, where the uncertainties are systematic and the statistical uncertainties are negligible. The number of events for the sample taken in 2009 is consistent with that of the previous measurement. The total number of ψ(3686) events for the two data taking periods is (448.1±2.9)×10 6 .
We report the first observation of the Dalitz decay η 0 → γe þ e − , based on a data sample of 1.31 billion J=ψ events collected with the BESIII detector. The η 0 mesons are produced via the J=ψ → γη 0 decay process. The ratio Γðη 0 → γe þ e − Þ=Γðη 0 → γγÞ is measured to be ð2.13 AE 0.09ðstatÞ AE 0.07ðsysÞÞ × 10 −2 . This corresponds to a branching fraction Bðη 0 → γe þ e − Þ ¼ ð4.69 AE 0.20ðstatÞ AE 0.23ðsysÞÞ × 10 −4 . The transition form factor is extracted and different expressions are compared to the measured dependence on the e þ e − invariant mass. The results are consistent with the prediction of the vector meson dominance model.
Using 1310.6 × 10 6 J=ψ and 447.9 × 10 6 ψð3686Þ events collected with the BESIII detector at the BEPCII e þ e − collider, the branching fractions and the angular distributions of J=ψ and ψð3686Þ decays to ΛΛ and Σ 0Σ0 final states are measured. The branching fractions are determined, with much improved precision, to be 19.43 AE 0.03 AE 0.33, 11.64 AE 0.04 AE 0.23, 3.97 AE 0.02 AE 0.12 and 2.44 AE 0.03 AE 0.11 for J=ψ → ΛΛ, J=ψ → Σ 0Σ0 , ψð3686Þ → ΛΛ and ψð3686Þ → Σ 0Σ0 , respectively. The polar angular distributions of ψð3686Þ decays are measured for the first time, while those of J=ψ decays are measured with much improved precision. In addition, the ratios of branching fractions
Bðψð3686Þ→ΛΛÞBðJ=ψ→ΛΛÞ and Bðψð3686Þ→Σ 0Σ0 Þ BðJ=ψ→Σ 0Σ0 Þ are determined to test the "12% rule."
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