Abstract
We explore the higher topological charge sector for generalized SU(2) Skyrme models in search of the static-field configuration with the lowest energy that would better reproduce what is expected for nuclei. Indeed the Skyrme model leads, for example, to toroidal, tetrahedral, and cubic symmetries for B = 2, 3, and 4 configurations, respectively, whereas nucleons in nuclei are presumably preserving their individuality. It turns out that the symmetries of the soliton solutions for the extended Skyrme models presented in this work are the same as for the Skyrme model at least for topological charges B < 5, which suggest that the Skyrme model has to be modified significantly to preserve the individual nature of the nucleons in nuclei. PACS Nos.: 12.39.Dc, 10.11.Lm
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