Application of the QCD light cone sum rule to tetraquarks: the strong vertices $X_bX_b\rho$ and $X_cX_c\rho$

TL;DR

This paper applies the QCD light-cone sum rule method to calculate the strong vertices and coupling constants of exotic tetraquark states with heavy quarks, specifically focusing on the $X_b$ and $X_c$ states interacting with a rho meson.

Contribution

It introduces a novel application of the QCD light-cone sum rule to determine the strong coupling constants of heavy tetraquarks with rho mesons, considering them as diquark-antidiquark bound states.

Findings

Calculated the strong coupling constants $G_{X_bX_b ho}$ and $G_{X_cX_c ho}$.

Provided insights into the structure of heavy tetraquarks as scalar diquark-antidiquark states.

Extended the QCD sum rule approach to exotic multiquark states.

Abstract

The full version of QCD light-cone sum rule method is applied to tetraquarks containing a single heavy $b$ or $c$ quark. To this end, investigations of the strong vertices $X_{b}X_{b}\rho$ and $X_{c}X_{c}\rho$ are performed, where $X_b=[su][\bar b\bar d]$ and $X_c=[su][\bar c\bar d]$ are the exotic states built of four quarks of different flavors. The strong coupling constants $G_{X_{b}X_{b}\rho}$ and $G_{X_{c}X_{c}\rho}$ corresponding to these vertices are found using the $\rho$-meson leading and higher-twist distribution amplitudes. In the calculations $X_{b}$ and $X_{c}$ are treated as scalar bound states of a diquark and antidiquark.