The X(3872) and other possible $XYZ$ molecular states

TL;DR

This paper investigates the nature of the X(3872) and similar states using a coupled channel quark model, revealing the X(3872) as a mixed molecular and charmonium state consistent with experimental data.

Contribution

It introduces a coupled channel calculation combining the RGM and $^3 P_0$ models to analyze molecular states like X(3872) within a constituent quark framework.

Findings

X(3872) is a molecular state with significant $c\bar c$ component.

Good agreement with Belle and BaBar experimental data.

Discussion of other potential molecular states.

Abstract

We perform a coupled channel calculation of the $DD^*$ and $c\bar c$ sectors in the framework of a constituent quark model. The interaction for the $DD^*$ states is obtained using the Resonant Group Method (RGM) and the underlying quark interaction model. The coupling with the two quark system is performed using the $^3 P_0$ model. The X(3872) is found as a molecular state with a sizable $c\bar c$ component. A comparison with Belle and BaBar data has been done, finding a good agreement. Other possible molecular molecular states are discussed.