Geodesic
Analyticity and bounds on the scattering amplitude at finite energies
Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 2, pp. 195-206

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A system of relations is obtained that relates various integrals of the real and the imaginary part of the scattering amplitude or its logarithm. These relations are used to investigate, at arbitrary physical energies, the relationship between the phase and the modulus of the amplitude; bounds on its behavior and on the ratio of the particle and antiparticle scattering amplitudes are found. 
@article{TMF_1974_21_2_a4,
     author = {Yu. S. Vernov},
     title = {Analyticity and bounds on the scattering amplitude at finite energies},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {195--206},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_21_2_a4/}
}
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Yu. S. Vernov. Analyticity and bounds on the scattering amplitude at finite energies. Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 2, pp. 195-206. http://geodesic.mathdoc.fr/item/TMF_1974_21_2_a4/