Universal behaviour of excited three-body bound states in 1D

We study a three-body system confined to one spatial dimension, consisting of two identical, non-interacting particles and a third, different particle interacting with each of the two identical ones. In [1] we have found universality in such systems, provided the heavy-light interaction is tuned to the ground-state resonance. We extend this study to the case of the heavy-light interaction being tuned such that an excited-state of arbitrary symmetry is on resonance, hence allowing for deeply bound states in the three-body system. Within the framework of the Faddeev equations we find universal behaviour of the associated three-body bound states [2]. Moreover, we analyze the influence of those deeply bound states on the three-body universality. In this talk we present numerical and analytical results for the energy spectrum and the corresonding three-body wave functions.

[1] L. Happ, M. Zimmermann, S.I. Betelu, W.P. Schleich and M.A. Efremov, Phys. Rev. A 100, 012709 (2019)

[2] L. Happ, M. Zimmermann and M.A. Efremov, arXiv:2102.06403