Efimov effect evaporation after confinement

TL;DR

This paper investigates how Efimov states vanish as a three-body quantum system is confined from three to two dimensions, using the $d$-method to analyze the loss of these states during confinement.

Contribution

It demonstrates how the $d$-method can be applied to study the disappearance of Efimov states during dimensional confinement in three-body systems.

Findings

Efimov states disappear around the two-body threshold during confinement.

The disappearance involves the loss of one particle while the other two remain bound.

The $d$-method effectively describes the evolution of root mean square radii in confined systems.

Abstract

The continuous confinement of quantum systems can be described by means of the $d$-method, where the dimension $d$ is taken as a continuous parameter. In this work we describe in detail how this method can be used to obtain the root mean square radii for a squeezed three-body system. These observables are used to investigate the disappearance of the Efimov states around the two-body threshold during a progressive confinement of the system from three to two dimensions. We illustrate how the disappearance takes place through the loss of one of the particles, whereas the other two remain bound.