Lightly bound Skyrmions and light nuclei

Abstract

This paper investigates the lightly bound model as a variant of the Skyrme model, which includes an additional fourth-degree potential term. The study explores its application to light nuclei, $1\le B\le 8$, using the rational map approximation. Even though the standard Skyrme model has demonstrated a great deal of usefulness in forecasting nuclear energies for specific nuclei, it continues to show inconsistencies with accurate experimental findings. Using this modified Skyrme model with an extra parameter, we achieve improved predictions of nuclear energies that better align with experimental data. By quantizing the model and fitting its parameters to the properties of the lithium-6 nucleus, we derive the static mass of Skyrmions that aligns more closely with the experimental values, along with the quantum energy contribution for both the ground and excited states of light nuclei, and the prediction of new states.