English

Reparametrising the Skyrme Model using the Lithium-6 Nucleus

High Energy Physics - Theory 2013-05-29 v1 Nuclear Theory

Abstract

The minimal energy B=6 solution of the Skyrme model is a static soliton with D4dD_{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 ee (a dimensionless constant) and FπF_\pi (the pion decay constant). The optimal values of these parameters have often been deliberated upon, and we propose, for B>2B>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\alpha-particle and deuteron as quantized B=4 and B=2 Skyrmions.

Keywords

Cite

@article{arxiv.hep-th/0609185,
  title  = {Reparametrising the Skyrme Model using the Lithium-6 Nucleus},
  author = {Nicholas S. Manton and Stephen W. Wood},
  journal= {arXiv preprint arXiv:hep-th/0609185},
  year   = {2013}
}

Comments

18 pages

R2 v1 2026-07-22T15:38:17.376Z