$D^{\pm}D^{*\mp}$ Hadronic Atom as a Key to Revealing the $X(3872)$ Mystery

TL;DR

This paper proposes the $X$ atom, a Coulomb-bound $D^ ext{±} D^{* ext{∓}}$ system, as a novel tool to investigate the internal structure and properties of the enigmatic $X(3872)$ particle.

Contribution

It introduces the concept of the $X$ atom, a new hadronic bound state, and demonstrates how null signals can set lower bounds on the $X(3872)$'s binding energy.

Findings

The $X$ atom has a predicted mass of about 3879.89 MeV.

Production rate of the $X$ atom is at least 0.1% of the $X(3872)$.

Studying the $X$ atom can provide new insights into the $X(3872)$'s structure.

Abstract

The $X(3872)$, whose mass coincides with the $D^0\bar D^{*0}$ threshold, is the most extended hadron object. Since its discovery in 2003, debates have never stopped regarding its internal structure. We propose a new object, the $X$ atom, which is the $D^\pm D^{*\mp}$ composite system with positive charge parity and a mass of $(3879.89\pm0.07)$ MeV, formed mainly due to the Coulomb force. We show that a null signal of the $X$ atom can be used to put a lower limit on the binding energy of the $X(3872)$. From the current knowledge of the $X(3872)$ properties, the production rate for the $X$ atom relative to the $X(3872)$ in $B$ decays and at hadron colliders should be at least $1\times10^{-3}$. New insights into the $X(3872)$ will be obtained through studying the $X$ atom.