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Adler-Weisberger relation and dispersion sum rules in the theory of strong interactions

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Il Nuovo Cimento A (1965-1970)

Summary

On the basis of unusubtracted dispersion relations for the quantity related to the divergences of the local axial-vector currents, we have obtained the well-known Adler-Weisberger relations. We have also used the addivitivity principle in the quark model for forward scattering amplitudes near threshold.

Riassunto

Partendo dalle relazioni di dispersione non sottratte delle quantità riferentesi alle divergenze delle correnti vettoriali-assiali locali, si sono ottenute le ben note relazioni di Adler-Weisberger. Si è anche usato il principio di additività nel modello a quark per le ampiezze di scattering in avanti presso la soglia.

Резюме

На базе безвычитательных дисперсионных соотношений для величины, связанной с дивергенциями локальных аксиальных токов, получено известное соотнощение Адлера-Вайсбергера. Мы использовали также принцип аддитивности в модели кварков для амплитуд рассеяния вперед вблизи порога.

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Footnotes

  1. Theoretical Discussion held on 7 July 1962 during theInternational Conference on High-Energy Physics at CERN (Reprint JINR, R-1198, Dubna, 1963).

  2. N. N. Bogolubov andD. V. Shirkov:Introduction to the Theory of Quantized Fields, Chap. IX (New York, 1959).

  3. M. Gell-Mann:Physics,1, 63 (1964).

    Google Scholar 

  4. S. Fubini, G. Furlan andC. Rossetti:Nuovo Cimento,40, 1171 (1965).

    Article  ADS  MathSciNet  Google Scholar 

  5. L. D. Soloviev: preprint JINR, E-2343, Dubna, 1965.

  6. I. G. Aznauryan andL. D. Soloviev: preprint JINR, E-2544, Dubna, 1966.

  7. V. A. Matvejev, V. G. Pisarenko andB. V. Struminsky: preprint JINR E-2821, Dubna, 1966.

  8. V. A. Matvejev, B. V. Struminsky andA. N. Tavkhelidze: preprint JINR, E-2831, Dubna, 1966.

  9. R. E. Kallosh, V. G. Pisarenko andR. N. Faustov: preprint JINR, E-2840 Dubna, 1966.

  10. S. L. Adler:Phys. Rev. Lett.,14, 1051 (1965);W. Weisberger:Phys. Rev. Lett.,14, 1047 (1965).

    Article  ADS  Google Scholar 

  11. E. M. Levin andL. L. Frankfurt:Žurn. Ėksp. Teor. Fiz., Pis’ma v Redak. 2, 105 (1965). (English translation,Sov. Phys- JETP Lett.,2, 65 (1965).

    ADS  Google Scholar 

  12. H. J. Lipkin andF. Scheck:Phys. Rev. Lett.,16, 71 (1965);J. J. J. Kokkedee andL. Van Hove:Nuovo Cimento,42, 711 (1966).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna

    N. N. Bogolubov, V. A. Matvejev & A. N. Tavischelidze

Authors
  1. N. N. Bogolubov
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  2. V. A. Matvejev
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  3. A. N. Tavischelidze
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Traduzione a cura della Redazione.

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Bogolubov, N.N., Matvejev, V.A. & Tavischelidze, A.N. Adler-Weisberger relation and dispersion sum rules in the theory of strong interactions. Nuovo Cimento A (1965-1970) 48, 132–139 (1967). https://doi.org/10.1007/BF02721348

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  • DOI: https://doi.org/10.1007/BF02721348

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