Borromean states in a one-dimensional three-body system

TL;DR

This paper demonstrates the existence of Borromean bound states in a one-dimensional three-body quantum system with two identical bosons and a distinguishable particle, exploring their properties and conditions for formation.

Contribution

It introduces the first numerical analysis of Borromean states in a 1D three-body system with tunable interactions and mass ratios, using Faddeev equations.

Findings

Identification of parameter regions for Borromean states

Numerical computation of three-body spectra and wave functions

Analysis of geometric properties and mass ratio dependence

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.