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.