Degeneracy of the quarks, shell structure in the chiral soliton

Abstract

We obtain multi-soliton solutions with discrete symmetries in the chiral quark soliton model using the rational map ansatz. The solutions exhibit degenerate bound spectra of the quark orbits depending on the background of pion field configurations. It is shown that resultant baryon densities inherit the same discrete symmetries as the chiral fields. Evaluating the radial component of the baryon density, shell-like structure of the valence quark spectra is also observed.

Comments: 22 pages, 6 figures, to appear in Nuclear Physics A. The figures of the baryon density plot are removed from this article because of their size, which will exist in the published version