# Modeling $^{19}$B as a $^{17}$B-n-n three-body system in the unitary limit

## TL;DR

This paper models the $^{19}$B nucleus as a three-body system near the unitary limit, predicting bound states and resonances, and discusses connections to Efimov physics, with implications for understanding neighboring isotopes.

## Contribution

It introduces a three-body model for $^{19}$B near the unitary limit, predicting resonances and exploring Efimov physics relevance.

## Key findings

- Successfully describes $^{17}$B ground state with two-body potentials.
- Predicts two low-lying resonances in $^{19}$B.
- Discusses potential links to Efimov physics.

## Abstract

We present a model description of the bound $^{17}$B isotope in terms of a $^{17}$B-n-n three-body system where the two-body subsystems $^{17}$B-n and n-n are unbound (virtual) states close to the unitary limit. The $^{17}$B ground state is well described in terms of two-body potentials only, and two low-lying resonances are predicted. Their eventual link with the Efimov physics is discussed. This model can be naturally used to describe the recently discovered resonant states in $^{20,21}$B.