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Saturation of the Froissart bound

Насыщение границы Фруасара

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Il Nuovo Cimento A (1965-1970)

Summary

Amplitudes for the elastic scattering of two particles are constructed which saturate the Froissart bound and satisfy i) Mandelstam analyticity and polynomial boundedness, ii) crossing symmetry with respect to all channels and iii) inelastic-unitarity constraints.

Riassunto

Si costruiscono ampiezze per lo scattering elastico di due particelle che saturano il limite di Froissart e soddisfano i) l'analiticità di Mandelstam e la limitatezza polinomiale, ii) la simmetria d'incrocio rispetto a tutti i canali, e iii) i vincoli di unitarietà inelastica.

Резюме

Конструируются амплитуды упругого рассеяния двух частиц, которые насыщают границы Фруасара и удовлетворяют: 1) аналитичности Манделстама и полиномиальной ограниченности, 2) кроссинг-симметрии относительно всех каналов и 3) ограничениям неупругой унитарности.

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References

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

    Article  ADS  Google Scholar 

  2. A. Martin:Phys. Rev.,129, 1432 (1963);Nuovo Cimento,42, 930 (1966).

    Article  MathSciNet  ADS  Google Scholar 

  3. H. Cheng andT. T. Wu:Phys. Rev. Lett.,24, 1456 (1970).

    Article  ADS  Google Scholar 

  4. N. N. Khuri:The Froissart bound and crossing symmetry, inStudies in Mathematical Physics, edited byE. H. Lieb, B. Simon andA. S. Wightman (Princeton, N. J., 1976).

  5. T. Kinoshita, J. Loeffel andA. Martin:Phys. Rev.,135, B 1464 (1964).

    Article  ADS  Google Scholar 

  6. J. Finkelstein:Phys. Rev. Lett.,24, 172 (1970).

    Article  ADS  Google Scholar 

  7. R. J. Eden:Rev. Mod. Phys.,43, 15 (1971).

    Article  ADS  Google Scholar 

  8. G. Auberson, T. Kinoshita andA. Martin:Phys. Rev. D,3, 3185 (1971).

    Article  MathSciNet  ADS  Google Scholar 

  9. R. Oehme:Rising cross-sections, inSpringer Tracts in Modern Physics, Vol.61, edited byG. Höhler (Berlin, 1972).

  10. J. Kupsch:Forts. Phys.,19, 783 (1971).

    Article  Google Scholar 

  11. E. C. Titchmarsh:Introduction to the Theory of Fourier Integrals (Oxford, 1937).

  12. I. S. Gradshteyn andI. M. Ryzhik:Table of Integrals, Series, and Products, 4th ed. (London, 1965).

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Kupsch, J., Pool, T.P. Saturation of the Froissart bound. Nuov Cim A 52, 99–114 (1979). https://doi.org/10.1007/BF02774943

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  • DOI: https://doi.org/10.1007/BF02774943

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