In this article, we assign the newly reported state $X(3842)$ to be a D-wave $\overline{ c}c$ meson, and study its mass and decay constant with the QCD sum rules by considering the contributions of the vacuum condensates up to dimension-6 in the operator product expansion. The predicted mass $M_{ X(3842)}=(3.844^{ +0.0675}_{ -0.0823}\pm0.020)GeV$ is in agreement well with the experimental data $M_{ X(3842)}=(3842.71\pm0.16\pm0.12)MeV$ from the LHCb collaboration. This result supports assigning $X(3842)$ to be a $1^{ 3}D_{ 3}$ charmonium meson. As the $1^{ 3}D_{ 3}$ $\overline{ c}c$ meson, its predicted strong decay width with the $^{ 3}P_{ 0}$ decay model is compatible with the experimental data.
Categories: hep-ph