Baryon Spectrum in Large N(C) Chiral Soliton and in Quark Models

Abstract

Strangeness contents of baryons are calculated within rigid rotator model for arbitrary number of colors $N_c$. The problem of extrapolation to realistic value $N_c=3$ is noted, based on explicit calculations and comparison of rigid rotator and rigid oscillator variants of the model. Some features of exotic baryon spectra ($\{\bar{10}\}, \{27\}$-and $\{35\}$-plets of baryons) obtained in the chiral soliton approach can be understood in terms of simplified quark $(4q\bar{q})$ wave functions. The effective mass of strange antiquark in different SU(3) multiplets of pentaquarks should depend on the particular multiplet, to link the predictions of soliton and quark models. The estimate of the $6_F$ and $\bar{3}_F$ diquarks mass difference can be made from comparison with chiral soliton model results for masses of exotic baryons from different SU(3)-multiplets. The masses of baryons partners with different values of spin $J$ are also estimated.