Skip to main content
Log in

Asymptotic expansion of high-energy upper bounds of the scattering amplitude

Асимптотическое разложение верхних границ амплитуды рассеяния при высоких энергиях

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

A family of asymptotic expansions for the Froissart-Martin bound is obtained. It is shown that incorporation of the second term in the asymptotic expansions brings the Froissart-Martin bound to closer agreement with experiment.

Riassunto

Si ottiene una famiglia di sviluppi asintotici per il limite di Froissart-Martin. Si dimostra che l'inclusione del secondo termine nello sviluppo asintotico porta ad un sempre migliore accordo fra il limite di Froissart-Martin e gli esperimenti.

Резюме

Получается семейство асимптотических разложений для границы Фройссарта-Мартина. Показывается, что использование второго члена в асимптотических разложениях приводит гранипу Фройссарта-Мартина даже к более близкому совпадению с экспериментом.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. Froissart:Phys. Rev.,123, 1053 (1961).

    Article  ADS  Google Scholar 

  2. O. W. Greenberg andF. E. Low:Phys. Rev.,124, 2047 (1961);A. Martin:Phys. Rev.,129, 1432 (1963).

    Article  ADS  MathSciNet  Google Scholar 

  3. A. Martin:Nuovo Cimento,42 A, 930 (1966).

    Article  ADS  Google Scholar 

  4. A. Martin: inHigh Energy Physics and Elementary Particles (IAEA, Vienna, 1965).

    Google Scholar 

  5. L. Lukaszuk andA. Martin:Nuovo Cimento,47 A, 265 (1967).

    Article  Google Scholar 

  6. Y. S. Jin andA. Martin:Phys. Rev.,135 B, 1369 (1964).

    Article  ADS  MathSciNet  Google Scholar 

  7. Seee.g.,R. J. Eden:High Energy Collisions of Elementary Particles, Cambridge University Press, 1967.

  8. The following careful and elegant derivation of the Froissart-Martin bound is mainly due toA. Martin. SeeMartin lectures on analyticity properties and bounds of the scattering amplitudes, notes byF. F. K. Cheung: State University of N.Y. at Stony Brook University preprint.

  9. H. Lehmann:Nuovo Cimento,10, 579 (1958).

    Article  Google Scholar 

  10. A. M. Jaffe:Communication to the 1966 International Conference on Elementary Particle and High-Energy Physics, Berkeley, Calif.

  11. G. Mahoux andA. Martin:Phys. Rev.,174, 2140 (1968).

    Article  ADS  Google Scholar 

  12. Taken fromS. J. Lindebaum:Oxford Conference Report, 1965.

  13. For a summary seee.g. Martin lectures on analyticity properties and bounds of the scattering amplitudes, Notes byF. F. K. Cheung, State University of N.Y. at Stony Brook preprint.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research supported by the U.S. Air Force Office of Scientific Research.

Traduzione a cura della Redazione.

Перевебено ребакцией.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Cheung, F.F.K. Asymptotic expansion of high-energy upper bounds of the scattering amplitude. Nuovo Cimento A (1965-1970) 61, 438–448 (1969). https://doi.org/10.1007/BF02756852

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02756852

Keywords

Navigation