Borromean states in a one-dimensional three-body system

Fuente: arXiv
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Autori principali: Schnurrenberger, Tobias, Happ, Lucas, Efremov, Maxim A.
Natura: Preprint
Pubblicazione: 2024
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author Schnurrenberger, Tobias
Happ, Lucas
Efremov, Maxim A.
author_facet Schnurrenberger, Tobias
Happ, Lucas
Efremov, Maxim A.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_14865
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Borromean states in a one-dimensional three-body system
Schnurrenberger, Tobias
Happ, Lucas
Efremov, Maxim A.
Quantum Physics
Quantum Gases
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.
title Borromean states in a one-dimensional three-body system
topic Quantum Physics
Quantum Gases
url https://arxiv.org/abs/2405.14865