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articleNo Access
Analysis of the $X$ $X$ (3842) as a $D$ $D$ -wave charmonium meson
- Guo-Liang Yu and
- Zhi-Gang Wang
International Journal of Modern Physics A20 Sep 2019
Preview Abstract
In this paper, we assign the newly reported state $X (3842)$ $X (3842)$ to be a $D$ $D$ -wave $\bar{c} c$ $\bar{c} c$ meson, and study its mass and decay constant with QCD sum rules by considering the contributions of vacuum condensates up to dimension-6 in the operator product expansion. The predicted mass $M_{X (3842)} = (3.84 4_{- 0.0823}^{+ 0.0675} \pm 0.020)$ $M_{X (3842)} = (3.84 4_{- 0.0823}^{+ 0.0675} \pm 0.020)$ GeV is in agreement with the experimental data $M_{X (3842)} = (3842.71 \pm 0.16 \pm 0.12)$ $M_{X (3842)} = (3842.71 \pm 0.16 \pm 0.12)$ MeV from the LHCb collaboration. This result supports assigning $X (3842)$ $X (3842)$ as the $1^{3} D_{3}$ $1^{3} D_{3}$ charmonium meson. In this case, its predicted strong decay width with the $^{3} P_{0}$ $^{3} P_{0}$ decay model is compatible with the experimental data.

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