Il Nuovo Cimento (1955-1965)

, Volume 27, Issue 1, pp 1–5 | Cite as

Baryon charge andR-inversion in the octet model

  • H. Goldberg
  • Y. Ne'eman


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.


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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  1. (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.MathSciNetADSCrossRefGoogle Scholar
  2. (2).
    M. Gell-Mann: Report CTSL-20, California Institute of Technology, Pasadena;Y. Ne'eman:Nucl. Phys.,26, 222 (1961).Google Scholar
  3. (3).
    H. Weyl:The Classical Groups, 2nd ed. (Princeton, 1946), pp. 132–135.Google Scholar
  4. (4).
    See, for example,G. Racah:Group Theory and Spectroscopy, lectures 3 and 4 (Mimeographed notes byE. Merzbacher andD. Park, 1951).Google Scholar
  5. (5).
    J. E. Wess:Nuovo Cimento,15, 52 (1960).MathSciNetCrossRefGoogle Scholar
  6. (6).
    See, for example,Y. Ne'eman: ref. (2)..MathSciNetCrossRefGoogle Scholar
  7. (9).
    Y. Ne'eman, ref. (2)..MathSciNetCrossRefGoogle Scholar
  8. (10).
    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.Google Scholar

Copyright information

© Società Italiana di Fisica 1963

Authors and Affiliations

  • H. Goldberg
    • 1
  • Y. Ne'eman
    • 1
  1. 1.Israel Atomic Energy CommissionRehovoth

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