The $\alpha-\alpha$ fishbone potential revisited

TL;DR

This paper revisits the alpha-alpha fishbone potential, demonstrating that a simple Gaussian form can accurately reproduce experimental two- and three-alpha data without needing three-body potentials.

Contribution

It introduces a revised alpha-alpha fishbone potential that fits resonance energies, phase shifts, and binding energies simultaneously using a simple Gaussian form.

Findings

A Gaussian fishbone potential accurately models alpha-alpha interactions.

The model reproduces experimental data without three-body potentials.

The approach simplifies the description of alpha cluster systems.

Abstract

The fishbone potential of composite particles simulates the Pauli effect by nonlocal terms. We determine the $\alpha-\alpha$ fishbone potential by simultaneously fitting to two-$\alpha$ resonance energies, experimental phase shifts and three-$\alpha$ binding energies. We found that essentially a simple gaussian can provide a good description of two-$\alpha$ and three-$\alpha$ experimental data without invoking three-body potentials.