Reparametrising the Skyrme Model using the Lithium-6 Nucleus

TL;DR

This paper refines the Skyrme model parameters for B=6 by matching the model's properties with Lithium-6 nucleus data, providing a better theoretical understanding of nuclear structure.

Contribution

The authors propose new Skyrme model parameters for B=6 based on Lithium-6 properties, improving the model's accuracy for this nucleus.

Findings

New parameter values for the Skyrme model at B=6

Better agreement with Lithium-6 charge radius and quadrupole moment

Support from reanalyzing B=2 and B=4 Skyrmions

Abstract

The minimal energy B=6 solution of the Skyrme model is a static soliton with $D_{4d}$ symmetry. The symmetries of the solution imply that the quantum numbers of the ground state are the same as those of the Lithium-6 nucleus. This identification is considered further by obtaining expressions for the mean charge radius and quadrupole moment, dependent only on the Skyrme model parameters $e$ (a dimensionless constant) and $F_\pi$ (the pion decay constant). The optimal values of these parameters have often been deliberated upon, and we propose, for $B>2$, changing them from those which are most commonly accepted. We obtain specific values for these parameters for B=6, by matching with properties of the Lithium-6 nucleus. We find further support for the new values by reconsidering the $\alpha$-particle and deuteron as quantized B=4 and B=2 Skyrmions.