English

Universality of excited three-body bound states in one dimension

Quantum Physics 2022-02-23 v2

Abstract

We study a heavy-heavy-light three-body system confined to one space dimension provided the binding energy of an excited state in the heavy-light subsystems approaches zero. The associated two-body system is characterized by (i) the structure of the weakly-bound excited heavy-light state and (ii) the presence of deeply-bound heavy-light states. The consequences of these aspects for the behavior of the three-body system are analyzed. We find strong indication for universal behavior of both three-body binding energies and wave functions for different weakly-bound excited states in the heavy-light subsystems.

Keywords

Cite

@article{arxiv.2102.06403,
  title  = {Universality of excited three-body bound states in one dimension},
  author = {Lucas Happ and Matthias Zimmermann and Maxim A. Efremov},
  journal= {arXiv preprint arXiv:2102.06403},
  year   = {2022}
}