Do ψ(4040), ψ(4160) signal hybrid charmonium?

We suggest that ψ(4040) and ψ(4160) are strong mixtures of ground state hybrid charmonium at ∼ 4.1 GeV and the ψ(3S) of conventional charmonium. The Γe+e−, masses and total widths of the ψ(4040) and ψ(4160) are in accord with this hypothesis. Their hadronic decays are predicted to be dominated by the ψ(3S) component and hence are correlated. In particular we find a spin counting relation Γ(4160 → DsDs∗) ∼ 4Γ(4040 → DsDs) due to their common ψ(3S) component. For D and D∗ production, using ψ(4040) branching ratios as input, we predict that the decay pattern of the ψ(4160) will be very different from that of the ψ(4040). These predictions may be tested in historical data from SPEAR, BES or at future Tau-Charm Factories.