Analysis of the $X(3842)$ as a D-wave charmonium meson

Abstract

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 $M_{X(3842)}=(3.844_{-0.0823}^{+0.0675}\pm 0.020)GeV$ is in agreement well with the experimental data $M_{X(3842)}=(3842.71\pm 0.16\pm 0.12)MeV$ 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.