Yi-Bo Yang, Ying Chen, Long-Cheng Gui, Chuan Liu, Yu-Bin Liu, Zhaofeng Liu, Jian-Ping Ma, Jian-Bo Zhang
Properties of $2^{-+}$ charmonium $\eta_{c2}$ are investigated in quenched lattice QCD. The mass of $\eta_{c2}$ is determined to be 3.80(3) GeV, which is close to the mass of $D$-wave charmonium $\psi(3770)$ and in agreement with quark model predictions. The transition width of $\eta_{c2}\to \gamma J/\psi$ is also obtained with a value $\Gamma=3.8(9)$ keV. Since the possible $2^{-+}$ assignment to X(3872) has not been ruled out by experiments, our results help to clarify the nature of X(3872). As a byproduct, an excited state with a mass of roughly 4.43(8) GeV is observed in the $2^{-+}$ channel which couples mainly to the hybrid-type interpolating operators, and therefore can be taken as the $2^{-+}$ counterpart of $1^{-+}$ hybrid charmonium.
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http://arxiv.org/abs/1206.2086
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