Geodesic
Relationship between the elastic forward scattering amplitudes for a particle and antiparticle at finite energies
Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 1, pp. 3-6 Cet article a éte moissonné depuis la source Math-Net.Ru

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Using the general postulates the following relationship is proved: $$ \left|\int_{E_1}^{E_2}\ln\right|\frac{f_{+}(E')}{f_{-}(E')}\left|\frac{dE'}{E'}\right|<\pi^2, $$ where $f_{+}(E)$, $(f_{-}(E))$ is the elastic forward scattering amplitude for the particle (antiparticle). $E_1$, $E_2$ – arbitrary energies in l.s. Amplitudes $f_{\pm}(E)$ are proved to have no zeros in the complex plane of $E$. 
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Yu. S. Vernov. Relationship between the elastic forward scattering amplitudes for a particle and antiparticle at finite energies. Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 1, pp. 3-6. http://geodesic.mathdoc.fr/item/TMF_1970_4_1_a0/

[1] I. Ya. Pomeranchuk, ZhETF, 34 (1958), 725

[2] M. Sugawara, A. Kanazawa, Phys. Rev., 123 (1961), 1895 | DOI | MR | Zbl

[3] N. N. Meiman, ZhETF, 43 (1962), 2247

[4] A. Martin, Nuovo Cim., 39 (1965), 704 | DOI | MR

[5] D. Amati, M. Fierz, V. Glaser, Phys. Rev. Lett., 4 (1960), 89 | DOI

[6] Yu. S. Vernov, YaF, 10 (1969), 176 | MR

[7] M. A. Evgrafov, Analiticheskie funktsii, «Nauka», 1965 | MR | Zbl

[8] M. Froissart, Phys. Rev., 123 (1961), 1053 | DOI

[9] A. Martin, Nuovo Cim., 42 (1966), 930 | DOI | Zbl

[10] D. V. Shirkov, V. V. Serebryakov, V. A. Mescheryakov, Dispersionnye teorii silnykh vzaimodeistvii pri nizkikh energiyakh, «Nauka», 1967

[11] I. S. Jin, A. Martin, Phys. Rev., 135B (1964), 1375 | DOI