Decay Jψ-->3γ and a Search for the ηc

The decay Jψ into 3γ final states has been studied. No evidence is found for the existence of the X(2.83) or any heavy narrow state (e.g., the η_c) decaying into two photons. Upper limits are given on the branching ratio Jψ-->η_c, η_c-->2γ for η_c masses in the 2.7-3.0-GeV region. In addition, the branching ratios Jψ-->γη, γη' are measured. It is found that the η' branching ratio is higher than previously reported.