Is $\chi_{c1}(3872)$ generated from string breaking?

TL;DR

This paper analyzes lattice results to show how the $ ext{X}(3872)$ can be understood as a bound state arising from mixing between quarkonium and meson-meson configurations, with a focus on string breaking effects.

Contribution

It introduces a diabatic analysis linking string breaking and mixing potentials, predicting the $ ext{X}(3872)$ as a bound state near the $D^0 ar{D}^{*0}$ threshold without extra parameters.

Findings

Predicts a $1^{++}$ bound state near the $D^0 ar{D}^{*0}$ threshold.

Establishes a relation between string breaking energy gap and string tension.

Matches lattice QCD data for bottomonium to study charmonium mixing.

Abstract

We show, from a diabatic analysis of Lattice results for string breaking, that mixing of $Q\bar{Q}$ with open-flavor meson-meson configurations may be expressed through a mixing potential which is order $1 / m_{Q}$. A relation between the minimum string breaking energy gap and the string tension comes out naturally. Using this relation, and matching the energy gap for $b\bar{b}$ with Lattice QCD data, we study the mixing in the $c\bar{c}$ case without any additional parameter. A $1^{++}$ bound state very close below the ${D}^{0}\bar{D}^{\ast 0}$ threshold, in perfect correspondence with $\chi_{c1}(3872)$, is predicted.