The pole counting rule and XYZ states

Abstract

The pole counting rule is a powerful and model-independent method to distinguish a confining state from a hadronic molecule. It has been applied to the explorations of $X(6900)$, $X_1(2900)$ as well as $Z_c(3900)$, $X(3872)$, $X(4660)$, etc.. For $X(6900)$, both a confining state and a molecular state are not excluded, because lacking of enough data. For $X_1(2900)$, the analysis shows that it should be a ${\bar{D}}_{1}K$ molecule, with $J^P=1^{-}$ and an iso-singlet interpretation is much more favorable. Finally, it is noted that almost all XYZ particles with exotic quantum numbers can be interpreted as hadronic molecules. The $X(3872)$ is, however, more like a charmonium.

Comments: 9 pages, 3 figures, contribution to 10th International Workshop on Chiral Dynamics, Nov. 15-19 , 2021