  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.
