QCD Sum-Rule Interpretation of X(3872) with JPC=1⁺⁺ Mixtures of Hybrid Charmonium and D D* Molecular Currents

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QCD sum-rules are employed to determine whether the X(3872) can be described as a mixed state that couples to JPC=1⁺⁺ charmonium hybrid and D D* molecular currents. After calculating the mixed correlator of hybrid and molecular currents, we formulate the sum-rule in terms of a mixing parameter that interpolates between the pure molecular and hybrid scenarios. As the mixing parameter is increased from the pure molecular case, the predicted mass increases until it reaches a maximum value in good agreement with the X(3872) and the resulting sum-rule analysis appears more robust than the pure molecular case.