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Lettere al Nuovo Cimento (1971-1985)

, Volume 44, Issue 4, pp 193–198 | Cite as

The s-d transition element and the ΔI = 1/2 rule

  • E. Delbourgo
  • M. D. Scadron
Article

Summary

It is confirmed that the sum of s-d self-energy graphs is gauge-parameter independent on the quark mass shells for finite gauges. It is argued that the result, of orderO(M w -2 ), has physical significance and, to avoid confusion, should not be rotated away by rediagonalization. In particular, the ensuing s π|HW,eff|K s transition becomes the origin of the ΔI = 1/2 rule for kaon decays, consistent with observation, both in magnitude and in sign.

PACS

12.30 Models of weak interactions 

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References

  1. (1).
    S. P. Chia:Phys. Lett. B,147, 361 (1984).ADSCrossRefGoogle Scholar
  2. (2).
    P. Pasqual andR. Tarrach:Phys. Lett. B,87, 64 (1979).ADSCrossRefGoogle Scholar
  3. (3).
    M. D. Scadron:Phys. Lett. B,95, 123 (1980).ADSCrossRefGoogle Scholar
  4. (4).
    M. D. Scadron:Rep. Prog. Phys.,44, 213 (1981).ADSCrossRefGoogle Scholar
  5. (5).
    B. H. J. McKellar andM. D. Scadron:Phys. Rev. D,27, 157 (1983).ADSCrossRefGoogle Scholar
  6. (6).
    N. H. Fuchs andM. D. Scadron: University of Arizona preprint (1985).Google Scholar
  7. (7).
    G. Eilam andM. D. Scadron:Phys. Rev. D,31, 2265 (1985).ADSCrossRefGoogle Scholar
  8. (8).
    S. Weinberg:Phys. Rev. Lett.,19, 1264 (1967);A. Salam: inElementary Particle Theory, edited byN. Svartholm (Almquist Forlag AB, Stockholm, 1968), p. 367;G. ’t Hooft:Nucl. Phys. B,35, 167 (1971).ADSCrossRefGoogle Scholar
  9. (9).
    J. C. Taylor:Gauge Theories of Weak Interactions (Cambridge University Press, 1976).Google Scholar
  10. (10).
    K. Aoki et al.:Prog. Theor. Phys. Suppl. (Japan),73, 1 (1982).ADSCrossRefGoogle Scholar
  11. (11).
    V. Elias andM. D. Scadron:Phys. Rev. D,30, 647 (1984);V. Elias,M. D. Scadron andR. Tarrach: University of Arizona preprint (1985).ADSCrossRefGoogle Scholar
  12. (12).
    S. Glashow, J. Iliopoulos andL. Maiani:Phys. Rev. D,2, 1285 (1970).ADSCrossRefGoogle Scholar
  13. (13).
    T. Appelquist:Proceedings of the SLAC Summer Institute on Particle Physics (1973), p.86;T. Appelquist andH. Quinn:Phys. Lett. B,39, 229 (1972).Google Scholar
  14. (14).
    N. Deshpande andG. Eilam:Phys. Rev. D,26, 2463 (1982).ADSCrossRefGoogle Scholar
  15. (15).
    H. F. Jones andM. D. Scadron:Nucl. Phys. B,155, 409 (1979);M. D. Scadron:Phys. Rev. D, 29, 3076 (1984).ADSCrossRefGoogle Scholar
  16. (16).
    S. Coleman andS. Glashow:Phys. Rev. B,134, 671 (1964).MathSciNetADSCrossRefGoogle Scholar
  17. (17).
    G. Feinberg, P. Kabir andS. Weinberg:Phys. Rev. Lett.,3, 527 (1958);R. Delbourgo:Nuovo Cimento,32, 1380 (1964);S. Weinberg:Phys. Rev. D,8, 605, 4482 (1973).ADSCrossRefGoogle Scholar
  18. (18).
    C. Schmid:Phys. Lett. B,66, 353 (1977); Riazuddin and Fayyazuddix:Phys. Rev. D,18, 1568 (1978);19, 1630(E) (1978).ADSCrossRefGoogle Scholar
  19. (19).
    J. C. Pati andC. H. Woo:Phys. Rev. D,3, 2920 (1971).ADSCrossRefGoogle Scholar
  20. (21).
    N. H. Fuchs andM. D. Scadron:J. Phys. G,11, 299 (1985).ADSCrossRefGoogle Scholar
  21. (22).
    J. Cronin:Phys. Rev.,161, 1483 (1967).ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica 1985

Authors and Affiliations

  • E. Delbourgo
    • 1
  • M. D. Scadron
    • 1
  1. 1.Department of PhysicsUniversity of TasmaniaHobartAustralia

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