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Reparametrizing the Skyrme model using the lithium-6 nucleus

2006/09/26 by N. S. Manton, Nicholas S. Manton, S. Wood +1
Physics and Astronomy · #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th #nucl-th

paper · pdf · doi:10.1103/physrevd.74.125017

published as Phys.Rev. D74 (2006) 125017 · 18 pages

arxiv created 2006/09/26 · openalex publication_date 2006/12/22 · arxiv updated 2013/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The minimal-energy B=6 solution of the Skyrme model is a static soliton with D4d 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_\ensuremathπ (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 \ensuremathα-particle and deuteron as quantized B=4 and B=2 Skyrmions.

Citations