A braid model for the particle X(3872)

Abstract

The Model of Quark Exchange (MQE) describes the particle X(3872) as a meson molecule. We asked whether braids influence the meson potential in the MQE. We used the Burau representation that parameterized braids with a variable $t$. The present result shows that $t$ rescales the coupling of the meson potential determining if it is attractive or repulsive. As a consequence, a capture diagram favored the molecular state for $t=0.85$, it breaks for other values. For the future, braids may help to study others exotic states in geometrical terms.