Exploring Efimov states in $D^*D^*D^*$ and $DD^*D^*$ three-body systems

Hai-Long Fu; Yong-Hui Lin; Feng-Kun Guo; Hans-Werner Hammer; Ulf-G. Meißner; Akaki Rusetsky; Xu Zhang

Exploring Efimov states in $D^D^D^$ and $DD^D^*$ three-body systems

High Energy Physics - Phenomenology 2025-06-11 v2 Nuclear Theory

Authors: Hai-Long Fu , Yong-Hui Lin , Feng-Kun Guo , Hans-Werner Hammer , Ulf-G. Meißner , Akaki Rusetsky , Xu Zhang

Abstract

The Efimov effect is an intriguing three-body quantum phenomenon. Searching for Efimov states within the realms of nuclear and hadronic physics presents a challenge due to the inherent inability of natural physical systems to exhibit adjustable two-body scattering lengths. In this study, we examine the potential existence of Efimov states in the $D^*D^*D^*$ and $DD^*D^*$ three-hadron systems. Utilizing a pionless effective field theory framework, we determine that the presence of Efimov states in the spectrum of the $D^*D^*D^*$ system is contingent upon the existence of an $(I,J)=(1,2)$ $D^*D^*$ two-body bound system. If only the $T_{cc}^+$ and its heavy quark spin partner $T_{cc}^{*+}$ exist while there is no near-threshold pole in all other $S$ -wave $D^{(*)}D^*$ scattering amplitudes, no Efimov effect is expected in the $D^{(*)}D^*D^*$ systems.

Keywords

Efimov states three-body systems pionless effective field theory two-body scattering length heavy quark spin symmetry

Cite

@article{arxiv.2503.19709,
  title  = {Exploring Efimov states in $D^*D^*D^*$ and $DD^*D^*$ three-body systems},
  author = {Hai-Long Fu and Yong-Hui Lin and Feng-Kun Guo and Hans-Werner Hammer and Ulf-G. Meißner and Akaki Rusetsky and Xu Zhang},
  journal= {arXiv preprint arXiv:2503.19709},
  year   = {2025}
}

Comments

25 pages, 8 figures