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Baryon charge andR-inversion in the octet model

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Il Nuovo Cimento (1955-1965)

Summary

A method for the application of the groupU(3) to the octet version of unitary symmetry is suggested, circumventing the difficulty implicit in the tracelessness of theSU(3)-representations linked with this model. In this way, baryon number is naturally introduced. The meaning ofR-inversion (introduced byM. Gell-Mann) is generalized.

Riassunto

Si suggerisce un metodo per l'applicazione del gruppoU(3) alla versione di ottetto della simmetria unitaria, evitando la difficoltà implicita nella mancanza di tracce delle rappresentazioniSU(3) collegate a questo modello. In tal modo si introduce naturalmente il numero barionico. Si generalizza il significato dell'inversioneR (introdotto daM. Gell-Mann).

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References

  1. See for example,M. Ikeda, S. Ogawa andY. Ohnuki:Progr. Theor. Phys.,22, 715 (1959) and23, 1073 (1960). In these papers the Sakata model is investigated.

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  2. M. Gell-Mann: Report CTSL-20, California Institute of Technology, Pasadena;Y. Ne'eman:Nucl. Phys.,26, 222 (1961).

  3. H. Weyl:The Classical Groups, 2nd ed. (Princeton, 1946), pp. 132–135.

  4. See, for example,G. Racah:Group Theory and Spectroscopy, lectures 3 and 4 (Mimeographed notes byE. Merzbacher andD. Park, 1951).

  5. J. E. Wess:Nuovo Cimento,15, 52 (1960).

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  6. See, for example,Y. Ne'eman: ref. (2)..

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  7. Y. Ne'eman, ref. (2)..

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  8. The way in whichGell-Mann (ref. (2)) Report CTSL-20, California Institute of Technology, Pasadena, introduced the baryons and the mesons as tensors underSU(3) does not fit the interpretation ofB andR in this paper.

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Author notes

  1. Y. Ne'eman

    Present address: Department of Physics, Imperial College, London

Authors and Affiliations

  1. Israel Atomic Energy Commission, Rehovoth

    H. Goldberg & Y. Ne'eman

Authors
  1. H. Goldberg
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  2. Y. Ne'eman
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Traduzione a cura della Redazione.

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Goldberg, H., Ne'eman, Y. Baryon charge andR-inversion in the octet model. Nuovo Cim 27, 1–5 (1963). https://doi.org/10.1007/BF02812598

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  • DOI: https://doi.org/10.1007/BF02812598

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