Abstract

The enigmatic properties of quarks have been described by introducing for them a new SU(3) degree of freedom, which is an exact symmetry+, with the additional constraint that only states scalar under this new group, named SUc(3) to distinguisgh it from the SU(3) of isospin and strangeness, can be observed(2). This assumption implies that quarks, which transform under SUc(3) as the fundamental representation, cannot be observed alone but only in pairs qq (mesons) or in triplets (baryons). This new degree of freedom accounts for the symmetry in the others quantum numbers of the baryon wave function and succesfully explains (π0→2x) or reduces OR value) previous discrepancies. The main purpose of this talk is to show that the octonion algebra supplies a natural framework both for the SU(3) character of the new degree of freedom and for the non observability of non singlet states(3).

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