Abstract
The ideas developed by Gell-Mann and Okubo in studying violation of unitary symmetry are used to describe violation of isototic invariance in strong interactions. The present consideration is performed for the example of the mass spectrum of the octet formed by baryons of spin-parity 1/2+: only for this family are the widths of its particles much less than the scale of the effects being investigated, their masses being known from experiments to a fairly high precision. The Gell-Mann-Okubo formula is generalized in such a way that relations both for the splitting between the isomultiplets of the octet and for the mass splitting within these isomultiplets follow from the new formula. Moreover, a relation between masses that describes their electromagnetic splitting and which coincides in form with the Coleman-Glashow relation also follows from this formula. The relations obtained for the masses of the baryons belonging to the octet in question are satisfied to a precision not poorer than 3%.
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Translated from Yadernaya Fizika, Vol. 65, No. 11, 2002, pp. 2153–2160.
Original Russian Text Copyright © 2002 by Grigoriev, Erofeeva, Luzin.
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Grigoriev, V.K., Erofeeva, O.N. & Luzin, V.N. Violation of isotopic invariance in strong interactions and mass spectrum of the 1/2+ baryon octet. Phys. Atom. Nuclei 65, 2092–2099 (2002). https://doi.org/10.1134/1.1522099
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DOI: https://doi.org/10.1134/1.1522099