Analyzing the $D^*D^*D^*$ system: Hexaquark states and the Efimov effect

TL;DR

This paper explores the potential for Efimov states in a three-D* meson system, predicting bound states and the realization of the Efimov effect based on heavy-quark symmetry assumptions.

Contribution

It predicts the existence of three-body bound states and the possible realization of the Efimov effect in the $D^*D^*D^*$ system, based on heavy-quark symmetry considerations.

Findings

Existence of $(I)J^P=(rac{1}{2})0^-$ bound states.

Efimov effect can be realized with reasonable parameters.

Bound states are linked to the properties of the $T_{cc}^*$.

Abstract

In this work we investigate the possible emergence of Efimov states in the $D^*D^*D^*$ system with $J^P=0^-$ and isospin $I=\tfrac{1}{2}$, assuming the existence of the heavy partner of the $T_{cc}^+$, dubbed $T_{cc}^*$, near the $D^*D^*$ threshold as predicted by Heavy-Quark Spin Symmetry. We find that $(I)J^P=(\frac{1}{2})0^-$ three-body bound states can be formed, with properties that suggest that the Efimov effect can be realised for reasonable values of the molecular probability and binding energy of the $T_{cc}^*$.