Femtoscopic study on $DD^*$ and $D\bar{D}^*$ interactions for $T_{cc}$ and $X(3872)$

TL;DR

This study uses momentum correlation functions of $D$ meson pairs in high-energy collisions to explore the internal structure and nature of the exotic hadrons $T_{cc}$ and $X(3872)$, providing insights into their composition.

Contribution

It introduces a method to analyze the nature of exotic hadrons through momentum correlations, incorporating coupled-channel effects based on empirical data.

Findings

Correlation functions reflect the internal structure of exotic states.

Coupled-channel effects significantly influence the correlation results.

The approach offers a new way to distinguish between different exotic hadron models.

Abstract

We investigate $DD^*$ and $D\bar{D}^*$ momentum correlations in high-energy collisions to elucidate the nature of $T_{cc}$ and $X(3872)$ exotic hadrons. Single range Gaussian potentials with the channel couplings to the isospin partners are constructed based on the empirical data. The momentum correlation functions of the $D^0D^{*+}$, $D^+D^{*0}$, $D^0\bar{D}^{*0}$, and $D^+D^{*-}$ pairs are computed with including the coupled-channel effects. We discuss how the nature of the exotic states are reflected in the behaviors of the correlation results.