# Resonance State Wave Functions of $^{15}$Be using Supersymmetric Quantum Mechanics

## TL;DR

This paper employs supersymmetric quantum mechanics with a microscopic potential to calculate resonance wave functions of unbound $^{15}$Be, providing theoretical insights that complement experimental efforts.

## Contribution

It introduces a novel application of supersymmetric quantum mechanics to unbound nuclei, specifically calculating resonance states of $^{15}$Be with a microscopic potential.

## Key findings

- Identified the 1.8 MeV resonance state with specific energy and width.
- Found no other nearby resonances for $^{15}$Be.
- Demonstrated the framework's effectiveness in studying unbound nuclei.

## Abstract

The theoretical procedure of supersymmetric quantum mechanics is adopted to generate the resonance state wave functions of the unbound nucleus $^{15}$Be. In this framework, we used a density dependent M3Y microscopic potential and arrived at the energy and width of the 1.8 MeV (5/2$^+$) resonance state. We did not find any other nearby resonances for $^{15}$Be. It becomes apparent that the present framework is a powerful tool to theoretically complement the increasingly important accelerator based experiments with unbound nuclei.