High-Energy Relations Between Elastic Scattering Amplitudes of Particles and Antiparticles |
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| Authors: | Vernov Yu S Mnatsakanova M N |
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| Institution: | (1) Institute for Nuclear Research, RAS, Moscow, Russia;(2) Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow, Russia |
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| Abstract: | We find conditions under which the ratio of particle and antiparticle total scattering cross sections   as s. If the forward elastic scattering amplitudes become purely real asymptotically, then their ratio tends to –1. We prove that / –(s) 1 for +(s)  /m
2, where m
is the -meson mass. We show that the asymptotic relations obtained have finite-energy analogues for some processes. |
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| Keywords: | axiomatic field theory Pomeranchuk theorem high-energy scattering analyticity unitarity crossing symmetry |
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