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Abstract |
We reanalyze, considering the contribution of P-wave charmonia, lattice data for the DD<overline>-DSD<overline>S coupled-channel of Prelovsek et al. [J. High Energy Phys. 06 (2021) 035.] and DD<overline>* systems of Prelovsek et al. [Phys. Rev. Lett. 111, 192001 (2013).] with m pi <^> 280 and 266 MeV, and L = 24a/32a (a <^> 0.09 fm) and L = 16a (a <^> 0.1239(13) fm), respectively. The hidden-charm states with JPC = 0++, 1++, and 2++ quantum numbers are then searched for. For 0++, the analysis reveals three poles in the DD<overline>-DSD<overline>S coupled-channel amplitude, corresponding to three states. Two of these poles, located near the DD<overline> and DSD<overline>S thresholds, can be interpreted as mostly molecular states. A third pole above the DSD<overline>S threshold is originated from the P-wave chi c0(2P) charmonium state. The number of poles found in the DD<overline>-DSD<overline>S system is the same as that found in the original lattice analysis though the position of the third pole changes sizeably. In the 1++ sector, we find two poles in the complex energy plane. The first one is related to the molecular X(3872) state, with a compositeness exceeding 90%, while the second one, stemming from the chi c1(2P) charmonium, appears above the DD<overline>* threshold and it likely corresponds to the recently discovered chi c1(4010) state. In the 2++ sector, we also report two poles and find that the dressed chi c2(2P) is lighter than the D*D<overline>* molecular state, with the dynamics of the latter closely related to that of the heavy-quark spin-symmetry partner of the X(3872). Our exploratory study of the 1++ and 2++ sectors offers valuable insights into their dynamics, but given that the fits that we carry out are underconstrained, more lattice data are required to draw robust conclusions. |
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Address |
[Shi, Pan-Pan; Albaladejo, Miguel; Nieves, Juan] Inst Invest Paterna, Inst Fis Corpuscular, Ctr Mixto CSIC UV, Aptdo 22085, Valencia 46071, Spain, Email: Panpan.Shi@ific.uv.es; |
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