Y(3940) as a Mixed Charmonium-Molecule State

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Using the QCD sum rules approach we study the mass and decay width of the channel J/ψ+ ω for the Y(3940) state. We assume that it can be described by a mixed charmonium-molecule scalar state, (χc₀)-(D D) current, with JPC = 0⁺⁺ quantum numbers. For the mixing angle (76.0 ± 5.0)⁰, we obtain the value M = (3.95 ± 0.11) GeV for the mass, which is in good agreement with the experimental mass of the Y(3940) state. For the decay width into the channel Y → J/ψ+ ω, we find the value ΓY = (1.7 ± 0.6) MeV, which is also compatible with the experimental data. We thus conclude that the present description of the Y(3940) as a mixed charmonium-molecule state is a possible scenario to explain the structure of this state.