Description of bound and unbound many-body systems at the drip-lines

TL;DR

This paper introduces a 1D toy model for Borromean nuclei at the continuum threshold, comparing various discretization methods to analyze energies, wave functions, and resonances.

Contribution

It presents a novel simplified model for studying bound and unbound many-body systems at the drip-lines using different discretization techniques.

Findings

Discretization methods yield comparable energies and wave functions.

Transition intensities and resonances are consistent across techniques.

The model provides insights into the structural properties of Borromean nuclei.

Abstract

We construct a 1D toy model to describe the structural properties of Borromean nuclei at the continuum threshold. The system is composed by two valence neutrons that are bound thanks to a residual interaction. Different discretization procedures are used (harmonic oscillator, transformed harmonic oscillator, rigid wallbox). The resulting energies and wave functions, as well as transition intensities and resonances are compared within the different discretization techniques.