Lettere al Nuovo Cimento (1971-1985)

, Volume 36, Issue 13, pp 401–408 | Cite as

Do spin-3/2 leptons exist?

  • N. Fleury
  • J. Leite Lopes
  • D. Spehler


An elementary proof of the unicity of the wave equation for free spin-3/2 fields (and the corresponding Feynman integral equation) is given. Covariant forms are exhibited and a heuristic S U2 ⊗ U1 model is adopted for the construction of possible electromagnetic and weak currents involving spin-3/2 particles. The notions of Dirac and Majorana masses for spin-3/2 neutrinos are generalized from the spin-3/2 case.

Although spin-3/2 field theories present well-known difficulties, we propose to use currents and amplitudes involving these fields to calculate effects which may be submitted to experimental search.

Among the decays of charged massive spin-3/2 particles, the radiative decay into the spin-1/2 lepton of the same family is possible. A systematic experimental search for spin-3/2 leptons (and quarks) is urged.


11.10 Field tlieory 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. (1).
    M. Perl, G. S. Alkams, A. M. Boyarski, M. Breidenbach, D. D. Briggs, F. Bulos, W. Chinowsky, J. T. Dakin, G. J. Feldman, C. E. Friedberg, D. Fryberger, G. Goldhaber, G. Hanson, F. B. Heile, B. Jean-Marie, J. A. Kadyk, R. R. Larsen, A. M. Litke, D. Lüke, B. A. Lulu, V. Lüth, D. Lyon, C. C. Morehouse, J. M. Paterson, F. M. Pierre, T. P. Pun, P. A. Rapidis, B. Richter, B. Sadoulet, R. F. Schwitters, W. Tanenbaum, G. H. Trilling, F. Vannucci, J. S. Whitaker, F. C. Winkelmann andJ. E. Wiss:Phys. Rev. Lett.,35, 1489 (1975).ADSCrossRefGoogle Scholar
  2. (2).
    D. Lurié:Particles and Fields (New York, N. Y., 1968);A. Das andD. Z. Freedman:Nucl. Phys. B,144, 271 (1976);J. Leite Lopes andD. Spehler:Lett. Nuovo Cimento,26, 567 (1979).Google Scholar
  3. (3).
    K. Johnson andE. C. G. Sudarshan:Ann. Phys. (N. Y.),13, 126 (1961);C. Velo andD. Zwanziger:Phys. Rev.,186, 1337 (1969);A. Z. Capri andR. L. Kobes:Phys. Rev. B,22, 1967 (1980).MathSciNetADSCrossRefMATHGoogle Scholar
  4. (4).
    W. Alles andV. Alles Borelli:Nuovo Cimento A,35, 125 (1976).ADSCrossRefGoogle Scholar
  5. (5).
    Y. Ahn, J. Kim andH. S. Song:Phys. Lett. B,73, 196 (1978);Y. S. Tsai: SLAC-PUB 2450 (1979);P. P. Srivastava andA. V. Vasconcelos Filho:Lett. Nuovo Oimento,23, 299 (1978);C. P. Korthals-Altes andP. Mert:Phys. Lett. B,72, 375 (1978);W. Alles:Lett. Nuovo Cimento,25, 404 (1979).ADSCrossRefGoogle Scholar
  6. (6).
    J. Leite Lopes, J. A. Martins Simōes andD. Spehler:a) Phys. Lett. B,94, 367 (1980); b)Phys. Rev. D,23, 797 (1981); c)Phys. Rev. D,25, 1854 (1982). Speculations on higher-spin quarks for the quark model of haryons were made by J. Franklin:Phys. Rev.,180, 1583 (1969) and181, 1984 (1969); see alsoJ. G. Taylor:Phys. Lett. B,90, 143 (1980).ADSCrossRefGoogle Scholar
  7. (7).
    P. van Nietiwenhuizen:Phys. Rep.,68, 189 (1981). See alsoJ. Leite Lopes,D. Spehler andN. Fleury:Lett. Nuovo Cimento,35, 60 (1982).MathSciNetADSCrossRefGoogle Scholar
  8. (8).
    P. B. Pal andL. Wolfenstein : Report No. C00-3066-167 (Revised), unpublished (1981).Google Scholar

Copyright information

© Società Italiana di Fisica 1983

Authors and Affiliations

  • N. Fleury
    • 1
  • J. Leite Lopes
    • 1
    • 2
  • D. Spehler
    • 1
    • 2
  1. 1.Centre de Recherehes NucléairesUniversité Louis PasteurStrasbourgFrance
  2. 2.Centro Brasileiro de Pesquisas FisicasRio de JaneiroBrazil

Personalised recommendations