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Saturation of the Froissart bound by crossing symmetric and unitary amplitudes

Насыщение границы Фруассара с помощью перекрестной симметрии и унитарных амплитуд

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Il Nuovo Cimento A (1965-1970)

Summary

A class of amplitudes is constructed that saturates the Froissart bound and satisfies crossing symmetry and all inelastic unitarity inequalities.

Riassunto

Si costruisce una classe di ampiezze che satura il limite di Froissart e soddisfa la simmetria d’incrocio e tutte le diseguaglianze di unitarietà anelastica.

Резюме

Конструируется класс амплитуд, который насыщает границу Фруассара и удовлетворяет перекрестной симметрии и всем неупругим унитарным неравенствам.

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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);A. Martin:Scattering Theory: Unitarity, Analyticity and Crossing, Lecture Notes in Physics, Vol.3 (Berlin, 1969).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. U. Amaldi andK. R. Schubert:Nucl. Phys. B,166, 301 (1980);D. Favart, P. Lipnik, P. Macq, J.-P. Matheys, N. Amos, M. Block, C. Leroy, D. Miller, S. Zucchelli, G. Bobbink, K. Potter, C. Vander Velde-Wilquet, M. Botje andJ. Sens:Phys. Rev. Lett.,47, 1191 (1981);G. Carboni, D. Lloyd Owen, M. Ambrosio, G. Anzivino, G. Barbarino, G. Pateenoster, S. Patricelli, V. Cavasinni, T. Del Prete, M. Morganti, M. Valdata-Nappi andP. D. Grannis:Phys. Lett. B,113, 87 (1982);A. S. Carrott, I.-H. Chiang, T. F. Kycia, K. K. Li, M. D. Marx, D. C. Rahm, W. F. Baker, D. P. Eartly, G. Giacomelli, A. M. Jonckheere, P. F. M. Koehler, P. O. Mazur, E. Rubinstein andO. Fackler:Phys. Lett. B,80, 423 (1979);J. P. Burq, M. Chemarin, M. Chevallier, A. S. Denisov, T. Ekelöf, J. Fay, P. Grafström, L. Gtüstatsson, E. Hagberg, B. Ille, A. P. Kashchuk, A. V. Kulikov, M. Lambert, J. P. Martin, S. Maury, M. Querrou, V. A. Schegelsky, I. I. Tkach, M. Verbeken andA. A. Vorobyov:Phys. Lett. B,109, 111 (1982).

    Article  ADS  Google Scholar 

  4. A. D. Gangal: in preparation.

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

  6. J. Kupsch andT. P. Pool:Nuovo Cimento A,52, 99 (1979).

    Article  MathSciNet  ADS  Google Scholar 

  7. J. Kupsch:Fortsch. Phys.,19, 783 (1971).

    Article  ADS  Google Scholar 

  8. G. Auberson, L. Epele andF. R. A. Simao:Sud. Phys. B,133, 266 (1978);G. Auberson and G. Mennessier:Nucl. Phys. B,162, 440 (1980).

    ADS  Google Scholar 

  9. D. Atkinson:Nucl. Phys. B,7, 375 (1968);8, 377 (1968);J. Kupsch:Nucl. Phys. B,11, 573 (1969);12, 155 (1969).

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

  12. A. Martik:Nuovo Cimento A,61, 56 (1969).

    Article  ADS  Google Scholar 

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Kupsch, J. Saturation of the Froissart bound by crossing symmetric and unitary amplitudes. Nuov Cim A 71, 85–103 (1982). https://doi.org/10.1007/BF02766694

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  • DOI: https://doi.org/10.1007/BF02766694

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