Using
(2712.4±14.3)×106 ψ(3686) events collected with the BESIII detector at the BEPCII collider, the decay
ηc→γγ in
J/ψ→γηc is observed. We determine the product branching fraction
B(J/ψ→γηc)×B(ηc→γγ)=(5.23±0.26stat±0.30syst)×10−6. This result is consistent with the lattice QCD calculation
(5.34±0.16)×10−6 from HPQCD in 2023. By using the world-average values of
B(J/ψ→γηc) and the total decay width of
ηc, the partial decay width
Γ(ηc→γγ) is determined to be
(11.30±0.56stat±0.66syst±1.14ref) keV, which deviates from the corresponding world-average value by
3.4σ.