Moments of inertia, nucleon axial-vector coupling, the8,10, and273/2mass spectrums and the higher SU(3)frepresentation mass splittings in the Skyrme model

The broad importance of a recent experimental discovery of pentaquarksrequires more theoretical insight into the structure of higher representationmultiplets. The nucleon axial-vector coupling, moments of inertia, the {\bf 8},{\bf 10}, $\bar{\bf 10}$, and ${\bf 27}_{3/2}$ absolute mass spectra and thehigher SU(3)$_f$ representation mass splittings for the multiplets ${\bf 8}$,${\bf 10}$, $\bar{\bf 10}$, ${\bf 27}$, ${\bf 35}$, $\bar{\bf 35}$, and $\bf64$ are computed in the framework of the minimal ${\rm SU(3)_f}$ extendedSkyrme model by using only one free parameter, i.e., the Skyrme charge $e$. Theanalysis presented in this paper represents simple and clear theoreticalestimates, obtained without using any experimental results for higher($\bar{\bf 10}$,...) multiplets. The obtained results are in good agreementwith other chiral soliton model approaches that more extensively useexperimental results as inputs.Comment: 22 pages, 12 figures, 9 tables, version accepted in JHE