Asymptotic properties of scattering amplitudes that are bounded by the Martin-Froissart bound
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Physics and Astronomy
Link
http://link.springer.com/content/pdf/10.1007/BF02727491.pdf
Reference7 articles.
1. R. J. Eden andG. D. Kaiser:Phys. Rev. D,3, 2286 (1971);Nucl Phys.,28 B, 253 (1971).
2. R. E. Mickens:Lett. Nuovo Cimento,2, 1157 (1971).
3. E. Leader:Phys. Lett.,5, 75 (1963);R. J. Eden:Phys. Rev. Lett.,16, 39 (1966);R. E. Mickens:Lett. Nuovo Cimento,1, 521 (1969). The Martin-Froissart bound gives |F(s,t)|
4. R. J. Eden:Rev. Mod. Phys.,43, 15 (1971).
5. It is well known that any improvement of the Froissart bound leads to the proof of the Pomeranchuk theorem for constant total cross-sections. (Seee.g.,R. E. Mickens:Lett. Nuovo Cimento,3,428 (1970).) Thus,F(s,t) represents either the particle or antiparticle amplitude and the total cross-sections tend to the same constant limits. Also, since experimentally the ratio ReF(s,0)/ImF(s,0) is either decreasing or constant with energy, we have chosen the form forF(s,0) given in eq.(1).
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