Coulomb-Corrected Wormhole Model for Neon-20

TL;DR

This paper introduces a Coulomb-corrected wormhole model for Neon-20, incorporating Coulomb repulsion to better match experimental data and predict resonance properties.

Contribution

It develops a modified Neon-20 nucleus model that includes Coulomb effects, improving upon previous wormhole models and accurately predicting bound states and resonances.

Findings

Model closely matches experimental energy levels

Accurately predicts resonance widths and energies

Reduces threshold energy for cluster break-up

Abstract

Building on the spatial wormhole geometry proposed by Manton and Dunajski, we develop a modified model for the Neon-20 nucleus that incorporates a repulsive Coulomb potential. This reduces the large threshold energy for cluster break-up in the original model and converts most bound states to resonances. We use generalized WKB methods to calculate the energies of bound states, and also the energies and widths of under-barrier and over-barrier resonances. The results align closely with experimental data for the 0_1^+ , 0_1^- and 0_4^+ rotational bands of Neon-20, including the large widths in the higher-nodal 0_4^+ band.