The production and decay of $X_0(2900)$ state with different interpretation

TL;DR

This paper investigates the nature of the $X_0(2900)$ state, analyzing its production and decay mechanisms using QCD sum rules, and suggests it could be a $ar{D}^ ext{*}K^ ext{*}$ molecule or a compact tetraquark.

Contribution

It provides a detailed QCD sum rule analysis of the $X_0(2900)$, supporting the molecular interpretation while considering the tetraquark possibility.

Findings

The production and decay widths are consistent with the $ar{D}^ ext{*}K^ ext{*}$ molecular interpretation.

The results align with experimental data for the molecular scenario.

The tetraquark interpretation remains plausible within uncertainties.

Abstract

The observation of $X_0(2900)$ in $B^+\rightarrow D^+D^-K^+$ decay process indicates the existence of open flavor tetraquark states. We study the production and decay of $X_0(2900)$ state with final state interaction mechanism, where we calculate the strong vertices such as $g_{\bar{D}KX_0}$, $g_{\bar{D}^\ast K^\ast X_0}$, $g_{D_s^{\ast}\bar{D}K}$ and $g_{D_{s1}\bar{D} K^\ast}$ in the framework of QCD sum rules method. We find that for the interpretation of the $\bar{D}^\ast K^\ast$ molecule of $X_0(2900)$, the branching fraction of the production process and the decay width are consistent with the experimental results, indicating that the observed $X_0(2900)$ could be interpreted as the $\bar{D}^\ast K^\ast$ molecule. However, we cannot exclude the possibility of a compact tetraquark interpretation within the uncertainty. Further experimental and theoretical efforts should be made to fully understand the nature of the $X_0(2900)$ state.