Can the state $Y(4626)$ be a $P$-wave tetraquark state $[cs][\bar{c}\bar{s}]$?

TL;DR

This study investigates whether the $Y(4626)$ can be a P-wave tetraquark state $[cs][ar{c}ar{s}]$ using a multiquark flux-tube model, providing insights into its structure and related states.

Contribution

It introduces a multiquark flux-tube model with multibody confinement and one-glue-exchange to analyze the $[cs][ar{c}ar{s}]$ tetraquark states, including the $Y(4626)$.

Findings

The $Y(4626)$ can be interpreted as a P-wave tetraquark state.

Strong mixing of color configurations in ground states, dominance of a specific configuration in excited states.

Prediction of a hidden-bottom partner of the $Y(4626)$.

Abstract

Stimulated by the state $Y(4626)$ recently reported by Belle Collaboration, we utilize a multiquark color flux-tube model with a multibody confinement potential and one-glue-exchange interaction to make an exhaustive investigation on the diquark-antidiquark state $[cs][\bar{c}\bar{s}]$. Numerical results indicate that the appearance of the states $[cs][\bar{c}\bar{s}]$ like a dumb-bell, the larger the orbital excitation $L$, the more distinguished the shape. The mixing of the color configurations $\left[[cs]_{\bar{\mathbf{3}}_c}[\bar{c}\bar{s}]_{\mathbf{3}_c}\right]_{\mathbf{1}}$ and $\left[[cs]_{\mathbf{6}_c}[\bar{c}\bar{s}]_{\bar{\mathbf{6}}_c}\right]_{\mathbf{1}}$ in the ground states is strong while the color configuration $\left[[cs]_{\bar{\mathbf{3}}_c}[\bar{c}\bar{s}]_{\mathbf{3}_c}\right]_{\mathbf{1}}$ is absolutely predominant in the excited states. The main component of the state $Y(4626)$ can be interpreted as a $P$-wave state $[cs][\bar{c}\bar{s}]$. Its hidden-bottom partner is predicted in the model calculation. The states $X(4140)$, $X(4274)$, $X(4350)$, $X(4500)$ and $X(4700)$ are also discussed.