Geodesic
High-Energy Relations Between Elastic Scattering Amplitudes of Particles and Antiparticles
Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 2, pp. 198-210 Cet article a éte moissonné depuis la source Math-Net.Ru

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We find conditions under which the ratio of particle and antiparticle total scattering cross sections ${\sigma _{+}(s)}/ {\sigma _{-}(s)}\to 1$ as $s \to \infty $. If the forward elastic scattering amplitudes become purely real asymptotically, then their ratio tends to $- 1$. We prove ${\sigma _{+}(s)}/ {\sigma _{-}(s)}\cong 1$, where $\sigma _{+}(s)\gg {\pi }/{m_\pi ^2}$, $m_\pi $ is the $\pi $-meson mass. We show that the asymptotic relations obtained have finite-energy analogues for some processes.
Keywords: axiomatic field theory, Pomeranchuk theorem, high-energy scattering, analyticity, unitarity, crossing symmetry. 
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Yu. S. Vernov; M. N. Mnatsakanova. High-Energy Relations Between Elastic Scattering Amplitudes of Particles and Antiparticles. Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 2, pp. 198-210. http://geodesic.mathdoc.fr/item/TMF_2002_132_2_a1/

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