Borromean states in a one-dimensional three-body system
Quantum Physics
2024-05-24 v1 Quantum Gases
Abstract
We show the existence of Borromean bound states in a one-dimensional quantum three-body system composed of two identical bosons and a distinguishable particle. It is assumed that there is no interaction between the two bosons, while the mass-imbalanced two-body subsystems can be tuned to be either bound or unbound. Within the framework of the Faddeev equations, the three-body spectrum and the corresponding wave functions are computed numerically. In addition, we identify the parameter-space region for the two-body interaction, where the Borromean states occur, evaluate their geometric properties, and investigate their dependence on the mass ratio.
Cite
@article{arxiv.2405.14865,
title = {Borromean states in a one-dimensional three-body system},
author = {Tobias Schnurrenberger and Lucas Happ and Maxim A. Efremov},
journal= {arXiv preprint arXiv:2405.14865},
year = {2024}
}