χc0 and χc2 decays into ηη, ηη′, and η′η′ final states

Using a sample of 3×106 ψ(2S) decays collected by the CLEO III and CLEO-c detector configurations, we present results of a study of χc0 and χc2 decays into ηη, ηη′, and η′η′ final states. We find B(χc0→ηη)=(0.31±0.05±0. 04±0.02)%, B(χc0→ηη′)<0.05% at the 90% confidence level, and B(χc0→η′η′)=(0.17±0. 04±0.02±0.01)%. We also present upper limits for the decays of χc2 into these final states. These results give information on the decay mechanism of χc states into pseudoscalars.