Borromean states in a one-dimensional three-body system

• URL: http://arxiv.org/abs/2405.14865v1
• Date: Thu, 23 May 2024 17:59:43 GMT
• Title: Borromean states in a one-dimensional three-body system
• Authors: Tobias Schnurrenberger, Lucas Happ, Maxim A. Efremov,
• Abstract summary: 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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