A braid model for the particle X(3872)

TL;DR

This paper explores how braid theory, via the Burau representation, influences the meson potential in the quark exchange model of the particle X(3872), suggesting braids can affect its molecular state stability.

Contribution

It introduces a novel approach by incorporating braid theory into the quark exchange model to analyze the particle X(3872).

Findings

Braid parameter t rescales the meson potential coupling.

Molecular state favored at t=0.85.

Braid influence can determine attraction or repulsion.

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.