Advertisement

Il Nuovo Cimento A (1965-1970)

, Volume 20, Issue 4, pp 585–594 | Cite as

Octet enhancement in a renormalizable weak-interaction model

  • N. Isgur
Article

Summary

Finite one-loop graphs which arise in a recently proposed renormalizable scalar-boson theory of the weak interaction are shown to lead to a mechanism for octet enhancement of ΔY = 1 hadronic processes.

Усиление октета в перенормируемой модели слабых вэаимодействий

Реэюме

Покаэывается, что конечные диаграммы с одной петлей, которые воэникают в недавно предложенной перенормируемой скалярной боэонной теории слабых вэаимодействий, приводят к механиэму усиления октета для адронных процессов с ΔY = 1.

Riassunto

Si mostra che i grafici finiti a una sola ansa che derivano da una teoria dell’interazione debole rinormalizzabile a bosoni scalari, recentemente avanzata, conducono a un meccanismo per l’incremento degli ottetti dei processi adronici con ΔY = 1.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. (1).
    E. Fermi:Nuovo Cimento,11, 1 (1934); alsoZeits. Phys.,88, 161 (1934).CrossRefGoogle Scholar
  2. (2).
    R. P. Feynman andM. Gell-Mann:Phys. Rev.,109, 193 (1958);E. C. G. Sudarshan andR. E. Marshak:Phys. Rev.,109, 1860 (1958).MathSciNetCrossRefADSMATHGoogle Scholar
  3. (3).
    N. Cabibbo:Phys. Rev. Lett.,10, 531 (1963).CrossRefADSGoogle Scholar
  4. (4).
    O. E. Overseth:Phys. Lett.,39 B, 144 (1972).Google Scholar
  5. (5).
    R. P. Feynman: inProceedings of the International School of Subnuclear Physics «Ettore Majorana», edited byA. Zichichi (1965), p. 160.Google Scholar
  6. (6).
    M. Breitenecher, H. Morawitz andH. Pietschmann:Zeits. Phys.,204, 345 (1967).CrossRefADSGoogle Scholar
  7. (7).
    A. Salam:Phys. Lett.,8, 216 (1964).MathSciNetCrossRefADSGoogle Scholar
  8. (8).
    See, for example,C. G. Callan andS. B. Treiman:Phys. Rev. Lett.,16, 153 (1966). Notice that in the soft-pion limit for the process H → H′π one is also takingM H =M H′. We shall comply in what follows by doing all calculations in theSU 3 limit.Google Scholar
  9. (9).
    We normalize baryon states according to 〈B j(p′s′)|B> i(ps)〉 = (E/Mijδss′δ3(p′ −p).Google Scholar
  10. (10).
    Although they use the language of divergent intermediate-vector-boson theory and current algebra,V. S. Mathur andP. Olesen:Phys. Rev. Lett.,20, 1527 (1968) conjecture essentially this same mechanism for octet dominance. By placing this hypothesis in the framework of a renormalizable weak-interaction theory with quarks, as we do here, their conjecture takes on substance and simplicity. In fact, at least at the computational level, the resulting picture of octet dominance in ΔY = 1 hadronic weak processes bears a close relation to the tadpole model. Unlike the tadpole model, however, here the dominant weak interaction and the dominant medium strong symmetry-breaking interaction do not belong to the same octet so that the effect cannot be rotated away, even should the only source of chiral symmetry breaking be of the form of quark mass terms.CrossRefADSGoogle Scholar
  11. (11).
    R. E. Pugh:Phys. Rev. D,5, 474 (1972).CrossRefADSGoogle Scholar
  12. (12).
    R. L. Penner:Phys. Rev. D,6, 2059 (1972).CrossRefADSGoogle Scholar
  13. (13).
    M. Fierz:Zeits. Phys.,104, 553 (1937);Y. Tanikawa:Phys. Rev.,108, 1615 (1957).CrossRefADSGoogle Scholar
  14. (14).
    Theϕ’s are anticommuting quantum fields;ϕ ac denotes the field of the particlea c charge conjugate toa.Google Scholar
  15. (15).
    There are many possible interpretations of thep′ quark which are equally suitable for the discussion which follows. See, for example,S. L. Glashow, J. Illiopoulos andL. Maiani:Phys. Rev. D,2, 1285 (1970);B. J. Bjorken andS. L. Glashow:Phys. Lett.,11, 255 (1964);D. Amati, H. Bacry, J. Nuyts andJ. Prentki:Phys. Lett.,11, 190 (1964); also,Nuovo Cimento,34, 1732 (1964).CrossRefADSGoogle Scholar
  16. (16).
    See, for example,S. A. Bludman: inCargèse Lectures in Physics, Vol.1 (London, 1967), p. 203.Google Scholar

Copyright information

© Società Italiana di Fisica 1974

Authors and Affiliations

  • N. Isgur
    • 1
  1. 1.Department of PhysicsUniversity of TorontoToronto

Personalised recommendations