Charmonium decays of Y(4260), ψ(4160), and ψ(4040)

Using data collected with the CLEO detector operating at the CESR e+e- collider at s=3.97-4.26GeV, we investigate 15 charmonium decay modes of the ψ(4040), ψ(4160), and Y(4260) resonances. We confirm, at 11σ significance, the BABAR Y(4260)→π+π-J/ψ discovery, make the first observation of Y(4260)→π0π0J/ψ (5.1σ), and find the first evidence for Y(4260)→K+K-J/ψ (3.7σ). We measure e+e- cross sections at s=4.26GeV as σ(π+π-J/ψ)=58-10+12±4pb, σ(π0π0J/ψ)=23-8+12±1pb, and σ(K+K-J/ψ)=9- 5+9±1pb, in which the uncertainties are statistical and systematic, respectively. Upper limits are placed on other decay rates from all three resonances.