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

## TL;DR

This paper identifies the X(3842) as a D-wave charmonium meson using QCD sum rules, predicting its mass and decay properties that align with experimental observations, thus supporting its classification as a 1^3D_3 state.

## Contribution

The study provides the first QCD sum rule analysis of X(3842) as a D-wave charmonium, predicting its mass and decay width consistent with experimental data.

## Key findings

- Predicted mass matches experimental data within uncertainties.
- Decay width estimates are compatible with observed values.
- Supports X(3842) as a 1^3D_3 charmonium state.

## 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 $M_{X(3842)}=(3.844^{+0.0675}_{-0.0823}\pm0.020)GeV$ 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.