A Non-Standard Quark Model and the Mass Difference $Ξ^- - Ξ^0$

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

We show that a highly unconventional theory, based on the 16 dimensional (${3\over2}$,${3\over2}$) 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.

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