A Non-Standard Quark Model and the Mass Difference ${\Xi }^{-}-{\Xi }^0$

Abstract

We show that a highly unconventional theory, based on the 16 dimensional ($\frac{3}{2}$,$\frac{3}{2}$) irreducible representation of O(4), fits the masses of the baryons ${\Xi }^{-}$,${\Xi }^0$,${\Sigma }^{-}$,${\Sigma }^0$,${\Sigma }^{+}$,$\Lambda$,$p$,$n$ and the leptons $\mu$,$e$,${\nu }_{\mu }$,${\nu }_e$ to within current experimental error, yet yields a prediction substantially different from that of Coleman and Glashow, namely ${\Xi }^{-}-{\Xi }^0<6.1$ MeV. We discuss the ramifications of this very non-standard model in the hope to stimulate improved measurements of the ${\Xi }^{-}-{\Xi }^0$ mass difference.

15 pages, in latex using revtex macros, 2 figures in postscript, appended. NRaD.9210.001.GAM