SU(3) Symmetry Breaking and Polarized Parton Densities

Abstract

We analyze the semileptonic weak decays of the octet baryons in a "model independent" approach, based on the algebraic structure of the Chiral Quark-Soliton Model. We argue that this analysis is in fact more general than the model itself. While the symmetry breaking for the semileptonic decays themselves is not strong, other quantities like $\Delta s$ and $\Delta \Sigma$ are much more affected. We calculate $\Delta \Sigma$ and $\Delta q$ for all octet baryons. Unfortunately, large experimental errors of ${\Xi }^{-}$ decays propagate in our analysis, in particular, in the case of $\Delta \Sigma$ and $\Delta s$. Only if the errors for these decays are reduced, the accurate theoretical predictions for $\Delta \Sigma$ and $\Delta s$ will be possible.

Comments: 10 pages, 6 figures, presented at Dubna Workshop Spin 2001, uses wrapfig.sty