Freiburg 2024 – wissenschaftliches Programm

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A: Fachverband Atomphysik

A 32: Quantum Gases (joint session Q/A)

A 32.8: Vortrag

Donnerstag, 14. März 2024, 16:15–16:30, Aula

Borromean states in a one-dimensional three-body system — •Tobias Schnurrenberger¹, Lucas Happ², and Maxim Efremov¹ — ¹German Aerospace Center (DLR), Institute of Quantum Technologies, 89081, Ulm, Germany — ²Few-body Systems in Physics Laboratory, RIKEN Nishina Center for Accelerator-Based Science, Wako, Saitama 351-0198, Japan

We show the existence of Borromean states in a one-dimensional quantum three-body system composed of two identical, heavy bosons and a different, lighter particle. It is assumed that there is no interaction between the two bosons, while the heavy-light subsystems do not have a bound state. 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 of the heavy-light interaction, where the Borromean states occur, investigate their dependence on the mass ratio, and evaluate their geometric properties.

Keywords: Borromean states; three-body problem; one-dimensional quantum gases