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.
Similar content being viewed by others
References
M. Froissart:Phys. Rev.,123, 1053 (1961).
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).
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).
A. D. Gangal: in preparation.
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).
J. Kupsch andT. P. Pool:Nuovo Cimento A,52, 99 (1979).
J. Kupsch:Fortsch. Phys.,19, 783 (1971).
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).
D. Atkinson:Nucl. Phys. B,7, 375 (1968);8, 377 (1968);J. Kupsch:Nucl. Phys. B,11, 573 (1969);12, 155 (1969).
G. Auberson, T. Kinoshita andA. Martin:Phys. Rev. D,3, 3185 (1971).
I. S. Gradshteyn andI. M. Ryzhik:Table of Integrals, Series and Products, 4th edition (London, 1965).
A. Martik:Nuovo Cimento A,61, 56 (1969).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02766694