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Reparametrising the Skyrme Model using the Lithium-6 Nucleus

Nicholas S. Manton·Stephen W. Wood
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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 $F_π$ (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 $α$-particle and deuteron as quantized B=4 and B=2 Skyrmions.

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Nicholas S. Manton, Stephen W. Wood. 2006-09-26. Reparametrising the Skyrme Model using the Lithium-6 Nucleus. https://doi.org/10.1103/physrevd.74.125017

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