Can the π+χc1 resonance structures be and molecules?

We use QCD sum rules to study the recently observed resonance-like structures in the π+χc1 mass distribution, and , considered as and molecules with the quantum number JP=0+ and JP=1−, respectively. We consider the contributions of condensates up to dimension eight and work at leading order in αs. We obtain mD∗D∗=(4.15±0.12)GeV, around 100 MeV above the D∗D∗ threshold, and mD1D=(4.19±0.22)GeV, around 100 MeV below the D1D threshold. We conclude that the state is probably a virtual state that is not related with the resonance-like structure. In the case of the D1D molecular state, considering the errors, its mass is consistent with both and resonance-like structures. Therefore, we conclude that no definite conclusion can be drawn for this state from the present analysis.