A Formulation for the Two Neutrino Fields in the SU (3)

  • T. Toyoda
Conference paper
Part of the Few-Body Systems book series (FEWBODY, volume 1/1965)


Recently the rather old problem of neutrino has been put in the new light of theoretical approaches due to the experimental discovery of the two distinct neutrinos. Particularly, being stimulated by the success of the SU(3) symmetry in the baryon family, several authors [1], [2] have attempted to amalgamate the two distinct neutrino fields into somewhat unified schemes.


Gauge Transformation Lepton Number Majorana Neutrino Charge Operator Dirac Field 
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  1. 1.
    Gatto, R., Nuovo Cimento 28, 567 (1963).MathSciNetCrossRefGoogle Scholar
  2. 2.
    Marshak, R. E., C. Ryan, T. K. Radha, and K. Raman, Preprint, to be published in Nuovo Cimento.Google Scholar
  3. 3.
    Okubo, S., Preprint, NYO-10246, to be published in Physics Letters.Google Scholar
  4. 4.
    Behrends, R. E., and L. F. Landowitz, Physical Review Letters 11, 296 (1963).ADSCrossRefGoogle Scholar
  5. 5.
    Gamba, A., R. E. Marshak, and S. Okubo, Proc. Nat. Acad, of Sci. 65, 881 (1959).MathSciNetADSCrossRefGoogle Scholar
  6. 6.
    Oiglane, S., Soviet JETP 13, 548 (1961).Google Scholar
  7. 7.
    Touschek, B., Rendiconti della Scuola Internationale di Fisica “Enrico Fermi”, Corso XI 40 (1960). (Proceedings of Varenna Summer School, June 29–July 11, 1959). See also B. Touschek, Nuovo Cimento 5, 1281 (1957). The first paper which referred to the possibility of Majorana neutrino for the double β-decay is: Touschek, B., Zeit. f. Phys. 125, 108 (1948). The first paper which referred to the equivalence between the Majorana field and Weyl’s two-component spinor field is: Serpe, J., Physica 18, 295 (1952). The proof of the equivalence between the Majorana field and WEYL’S two-component spinor has been given independently by: McLennon J. A., Jr., Phys. Rev. 106, 821 (1957). Case, K. M., Phys. Rev. 107, 307 (1957). Radicati, L. A., and B. Touschek, Nuovo Cimento 51, 1693 (1957).Google Scholar
  8. 8.
    Pauli, W., Nuovo Cimento 6, 204 (1957).MathSciNetMATHCrossRefGoogle Scholar
  9. 9.
    Touschek, B., Nuovo Cimento 8, 181 (1958). The Symmetry Properties of Fermi Dirac Fields.MATHCrossRefGoogle Scholar
  10. 10.
    Thirring, W., Nucl. Phys. 10, 97 (1959); ibid 14, 569 (1960).MathSciNetADSGoogle Scholar
  11. 11.
    Tonin, M., Nuovo Cimento 18, 304 (1960).MathSciNetCrossRefGoogle Scholar
  12. 12.
    Gürsey, F., Nuovo Cimento 7, 411 (1958).MATHCrossRefGoogle Scholar
  13. 13.
    Dallaporta, N., and T. Toyoda, Nuovo Cimento 12, 539 (1959).MathSciNetGoogle Scholar
  14. 14.
    Tonin, M., Private communication.Google Scholar

Copyright information

© Springer-Verlag GmbH Wien 1964

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  • T. Toyoda

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