# Analysis of the mass and width of the $X^*(3860)$ with QCD sum rules

## TL;DR

This paper uses QCD sum rules to analyze the mass and width of the $X^*(3860)$, supporting its interpretation as a scalar tetraquark state with results consistent with experimental data.

## Contribution

It is the first to apply QCD sum rules to study the $X^*(3860)$ as a scalar tetraquark and calculate its hadronic coupling constants.

## Key findings

- Mass $3.86 \,\rm{GeV}$ with uncertainty
- Width $202 \,\rm{MeV}$ with uncertainty
- Results align with experimental measurements

## Abstract

In this article, we tentatively assign the $X^*(3860)$ to be the $C\gamma_5\otimes \gamma_5C$ type scalar tetraquark state, study its mass and width with the QCD sum rules, special attention is paid to calculating the hadronic coupling constants $G_{X\eta_c\pi}$ and $G_{XDD}$ concerning the tetraquark state. We obtain the values $M_{X}=3.86 \pm 0.09\,\rm{GeV}$ and $\Gamma_{X}= 202\pm 146 \,\rm{MeV}$, which are consistent with the experimental data. The numerical result supports assigning the $X^*(3860)$ to be the $C\gamma_5\otimes \gamma_5C$ type scalar tetraquark state.