Advertisement

Il Nuovo Cimento (1955-1965)

, Volume 28, Issue 1, pp 123–131 | Cite as

Poles and thresholds and unstable particles

  • P. V. Landshoff
Article

Summary

Consequences are investigated of assuming that transition amplitudes display some analytioity in the coupling constants. This enables one to demonstrate the existence of singularities associated with unstable and virtual particles, similar to those required by unitarity for stable particles. It is simple to determine on which Riemann sheets lie the unstable and virtual particle singularities and one may also show that the stable particle singularities are absent from certain sheets.

Riassunto

Si esaminano le conseguenze dell‘ipotesi che le ampiezze di transizione presentino qualche analiticità nelle costanti d‘accoppiamento. Questo ci permette di dimostrare l‘esistenza di singolarità associate alle particelle instabili e virtuali, simili a quelle richieste per le particelle stabili dall‘unitarietà. è semplice determinare su quale dei foglietti di Riemann giacciono le singolarità delle particelle instabili e virtuali e si puÒ anche dimostrare che le singolarità delle particelle stabili sono assenti da oerti foglietti.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. (1).
    R. E. Peierls:Proc. of 1954 Glasgow Conference. Google Scholar
  2. (2).
    J. C. Polkinghorne:Nuovo Cimento,23, 360 (1962).MathSciNetCrossRefGoogle Scholar
  3. (3).
    H. P. Stapp:Phys. Rev.,125, 213 (1962).MathSciNetCrossRefMATHGoogle Scholar
  4. (4).
    P. V. Landshoff: quoted in ref. (2).Google Scholar
  5. (5).
    R. Blankenbecler, M. L. Goldberger, S. W. MacDowell andS. B. Treiman:Phys. Rev.,123, 692 (1961).CrossRefADSGoogle Scholar
  6. (6).
    D. Zwanziger: preprint (Berkeley).Google Scholar
  7. (8).
    W. Zimmermann:Nuovo Cimento,21, 249 (1961).CrossRefMATHGoogle Scholar
  8. (10).
    J. C. Polkinghorne:Nuovo Cimento,25, 901 (1962).MathSciNetCrossRefGoogle Scholar
  9. (11).
    R. Cutkosky:Journ. Math. Phys.,1, 429 (1960).MathSciNetCrossRefMATHADSGoogle Scholar
  10. (12).
    E. J. Eden:Phys. Rev.,121, 1566 (1960). See also P. V. Landshoff:Phys. Lett.,3, 116 (1962).Google Scholar
  11. (13).
    D. B. Fairlie, P. V. Landshoff, J. Nuttall andJ. C. Polkinghorne:Journ. Math. Phys.,3, 594 (1962).MathSciNetCrossRefMATHADSGoogle Scholar
  12. (14).
    J. Challifour: private communication.Google Scholar

Copyright information

© Società Italiana di Fisica 1963

Authors and Affiliations

  • P. V. Landshoff
    • 1
  1. 1.St. John‘s CollegeCambridge

Personalised recommendations