Geodesic
Singularities of the amplitude in the $\cos\theta$; plane and scattering at high energies
Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 2, pp. 147-164 
A. A. Logunov; M. A. Mestvirishvili; G. L. Rcheulishvili; A. P. Samokhin. Singularities of the amplitude in the $\cos\theta$; plane and scattering at high energies. Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 2, pp. 147-164. http://geodesic.mathdoc.fr/item/TMF_1979_39_2_a0/
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     title = {Singularities of the amplitude in the~$\cos\theta$; plane and scattering at high energies},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {147--164},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Unitarity and analyticity of the elastic scattering amplitude in the $\cos\theta$ plane are used to show that if $d\sigma/dt|_{t=0}\geqslant\text{const}/s^{2-\varepsilon}$ $(\varepsilon>0)$ at high energies then the contribution to the differential cross section of forward elastic scattering from the left-hand "$u$-channel" singularities of the amplitude is negligibly small.

[1] A. A. Logunov, M. A. Mestvirishvili, G. L. Rcheulishvili, A. P. Samokhin, TMF, 28 (1976), 147 | MR

[2] G. L. Rcheulishvili, A. P. Samokhin, TMF, 30 (1977), 322 | MR

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[6] V. V. Ezhela, A. A. Logunov, M. A. Mestvirishvili, TMF, 6 (1971), 42 ; А. А. Логунов, М. А. Мествиришвили, О. А. Хрусталев, ТМФ, 9, 3 ; (1971), 153 ; В. В. Ежела, В. А. Петров, Препринт ИФВЭ 72-51, Серпухов, 1972 | Zbl

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