Moments of inertia, nucleon axial-vector coupling, the {\bf 8}, {\bf 10}, $\bar{\bf 10}$ and ${\bf 27}_{3/2}$ mass spectrums and the higher SU(3)_f representation mass splittings in the Skyrme model

The broad importance of recent experimental discovery of pentaquarks require more theoretical insight into the structure of higher representation multiplets. Nucleon axial-vector coupling, moments of inertia, the {\bf 8}, {\bf 10}, $\bar{\bf 10}$ and ${\bf 27}_{3/2}$ absolute mass spectrum and the higher SU(3)$_f$ representation mass splittings for the multiplets ${\bf 8}$, ${\bf 10}$, $\bar{\bf 10}$, ${\bf 27}$, ${\bf 35}$, $\bar{\bf 35}$, and $\bf 64$ as functions of Skyrme charge $e$ and the symmetry breaking parameters ($m_\pi, f_\pi, m_K, f_K$), are given in tabular form. Our computation gives very small ${\bf 27}_{3/2}-\bar{\bf 10}$ mass splitting suggesting that the ${\bf 27}_{3/2}$ mass spectrum should mix with or lie just a little bit above the $\bar{\bf 10}$-plet spectrum.