Charmonium content of ${\chi }_{c1}(3872)$ in light-cone sum rules at twist 3

Abstract

In this study, we utilize light-cone QCD sum rules at twist-3 accuracy to compute the coupling parameters of the ${\chi }_{c1}(2P)$ state with $D$ and $D^{\ast }$ mesons. The analysis reveals that the observed ${\chi }_{c1}(3872)$ meson incorporates significant amounts of both charmonium and molecular components. The interplay between these components highlights the exotic nature of ${\chi }_{c1}(3872)$. Furthermore, implications for a possible mixing between the ${\chi }_{b1}(2P)$ state and a potential $B{\bar{B}}^{\ast }$ molecule is discussed. These findings contribute to the understanding of exotic hadron states and their intricate internal structures.

Comments: 18 pages, 6 figures