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

Abstract

The broad importance of a recent experimental discovery of pentaquarks requires more theoretical insight into the structure of higher representation multiplets. The nucleon axial-vector coupling, moments of inertia, the {\bf 8}, {\bf 10}, $\overline{10}$, and ${27}_{3/2}$ absolute mass spectra and the higher SU(3)${}_f$ representation mass splittings for the multiplets $8$, $10$, $\overline{10}$, $27$, $35$, $\overline{35}$, and $64$ are computed in the framework of the minimal $\mathrm{SU}(3{)}_{\mathrm{f}}$ extended Skyrme model by using only one free parameter, i.e., the Skyrme charge $e$. The analysis presented in this paper represents simple and clear theoretical estimates, obtained without using any experimental results for higher ($\overline{10}$,...) multiplets. The obtained results are in good agreement with other chiral soliton model approaches that more extensively use experimental results as inputs.

Comments: 22 pages, 12 figures, 9 tables, version accepted in JHEP