Leptonic Decays of the Kaon According to Current Algebra and PCAC

  • R. J. Oakes
Conference paper
Part of the Acta Physica Austriaca book series (FEWBODY, volume 4/1967)


In this lecture I want to discuss the recent calculations of the leptonic decays of the K mesons based on the current commutation relations of Gell-Mann [1] and the assumption of a partially conserved axial vector current [2] (PCAC). For the most part this will be a review of the work of Callan and Treiman [3] and Weinberg [4], although some new results, obtained in collaboration with McNamee [5], will also be discussed. The presentation will largely follow an approach due to Bell [6] and will be rather elementary since this lecture is primarily intended for those who are not already familiar with the techniques.


Form Factor Pole Diagram Axial Vector Leptonic Decay Momentum Dependence 
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  1. 1.
    M. Gell-Mann, Phys. Rev. 125, 1064 (1962).MathSciNetADSCrossRefGoogle Scholar
  2. 2.
    Y. Nambu, Phys. Rev. Lett. 4, 380 (1960);ADSCrossRefGoogle Scholar
  3. M. Gell-Mann and M. Lévy, Nuovo Cim. 16, 705 (1960).MATHCrossRefGoogle Scholar
  4. 3.
    C. G. Callan and S. B. Treiman, Phys. Rev. Lett. 16, 153 (1966).MathSciNetADSCrossRefGoogle Scholar
  5. 4.
    S. Weinberg, Phys. Rev. Lett. 17, 336 (1966).ADSCrossRefGoogle Scholar
  6. 5.
    P. McNamee and R. J. Oakes, to be published.Google Scholar
  7. 6.
    J. S. Bell, Proceedings of the 1966 CERN School of Physics at Noordwijk-aan-Zee, CERN Yellow Report 66–29 (1966), and private communications.Google Scholar
  8. 7.
    For a recent review of the data see N. Cabibbo, Proceedings of the XIIIth International Conference on High Energy Physics, CERN Report TH. 711.Google Scholar
  9. 8.
    J. J. de Swart, Revs. Modern Phys. 35, 916 (1963);ADSCrossRefGoogle Scholar
  10. P. McNamee and F. Chilton, Revs.Modern Phys. 36, 1005 (1964).MathSciNetADSCrossRefGoogle Scholar
  11. 9.
    M. Ademollo and R. Gatto, Phys. Rev. Lett. 13, 264 (1964).ADSCrossRefGoogle Scholar
  12. 10.
    I am indebted to J. S. Bell for this observation.Google Scholar
  13. 11.
    There is also a vector term ti F+euvpokvp1p2 that we shall not discuss. It cannot contribute in the soft pion limit and presumably is negligible in the physical region owing to the centrifugal barrier.Google Scholar
  14. 12.
    S. Weinberg, Phys. Rev. Lett. 17, 616 (1966).ADSCrossRefGoogle Scholar
  15. 13.
    In Eqs. (21) - (23) we have corrected a sign error in Eq. (24) of Ref. 4).Google Scholar
  16. 14.
    The axial vector form factors are presumably unimportant. See Ref. 11).Google Scholar
  17. 15.
    V.A.Kolkunov and I. V. Lyagin, Zhur.Eksp.i Teoret.Fiz. 45, 2009 (1963);Google Scholar
  18. V.A.Kolkunov and I. V. Lyagin, English translation: Sov. Phys. JETP 18, 1379 (1964).Google Scholar

Copyright information

© Springer-Verlag Wien 1967

Authors and Affiliations

  • R. J. Oakes
    • 1
  1. 1.CERNGenevaSwitzerland

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