Advertisement

Il Nuovo Cimento A (1965-1970)

, Volume 45, Issue 1, pp 108–123 | Cite as

Sum rules from the algebra of current densities

  • C. Bouchiat
  • Ph. Meyer
Article

Summary

A general method to derive sum rules involving mass-shell amplitudes from the algebra of space and time components of the current densities is developed. It is shown that the so-called «Schwinger terms» can be eliminated in the «quark» model by a proper symmetrization. The case of vector currents is discussed for the spin-1/2 baryons and in particular the sum rules associated with the equal-time commutation relations of the magnetic moments.

Keywords

Multipole Moment Pole Term Sachs Form Factor Amplit Baryon Pole 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Riassunto

Si sviluppa un metodo generale per dedurre regole di somma per le ampiezze dello strato della massa nell'algebra delle componenti spaziali e temporali delle densità di corrente. Si dimostra che i cosiddetti «termini di Schwinger» possono essere eliminati nel modello dei «quark» con una opportuna simmetrizzazione. Si discute il caso delle correnti vettoriali per i barioni di spin 1/2 ed in particolare le regole di somma associate con relazioni di commutazione di tempo uguale dei momenti magnetici.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. (1).
    S. L. Adler, CERN preprint 1965.Google Scholar
  2. (2).
    S. Fubini, G. Furlan andC. Rossetti: CERN preprint 1965.Google Scholar
  3. (3).
    S. Fubini: Institute for Advanced Studies, Preprint 1966.Google Scholar
  4. (4).
    S. Fubini andG. Furlan:Physics,1, 229 (1965).Google Scholar
  5. (5).
    B. W. Lee:Phys. Rev. Lett.,14, 676 (1965).ADSCrossRefGoogle Scholar
  6. (6).
    R. F. Dashen andM. Gell-Mann:Phys. Lett.,17, 145 (1965).ADSMathSciNetCrossRefGoogle Scholar
  7. (7).
    M. Gell-Mann:Phys. Rev.,125, 1067 (1962);Physics,1, 63 (1964).ADSMathSciNetCrossRefGoogle Scholar
  8. (8).
    J. Schwinger:Phys. Rev. Lett.,3, 296 (1959).ADSCrossRefGoogle Scholar
  9. (9).
    S. L. Adler andC. G. Callan: CERN preprint 1965.Google Scholar
  10. (11).
    N. Cabibbo andL. A. Radicati:Phys. Lett.,19, 697 (1966).ADSCrossRefGoogle Scholar
  11. (12).
    R. G. Sachs:Phys. Rev.,126, 2256 (1962).ADSMathSciNetCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica 1966

Authors and Affiliations

  • C. Bouchiat
    • 1
  • Ph. Meyer
    • 1
  1. 1.Laboratoire de Physique Théorique et Hautes EnergiesFaculté des SciencesOrsay

Personalised recommendations