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TMF, 2002, Volume 132, Number 2, Pages 198–210 (Mi tmf356)  

High-Energy Relations Between Elastic Scattering Amplitudes of Particles and Antiparticles

Yu. S. Vernova, M. N. Mnatsakanovab

a Institute for Nuclear Research, Russian Academy of Sciences
b Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University

Abstract: 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

DOI: https://doi.org/10.4213/tmf356

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English version:
Theoretical and Mathematical Physics, 2002, 132:2, 1059–1070

Bibliographic databases:

Received: 14.03.2002

Citation: Yu. S. Vernov, M. N. Mnatsakanova, “High-Energy Relations Between Elastic Scattering Amplitudes of Particles and Antiparticles”, TMF, 132:2 (2002), 198–210; Theoret. and Math. Phys., 132:2 (2002), 1059–1070

Citation in format AMSBIB
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\by Yu.~S.~Vernov, M.~N.~Mnatsakanova
\paper High-Energy Relations Between Elastic Scattering Amplitudes of Particles and Antiparticles
\jour TMF
\yr 2002
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\issue 2
\pages 198--210
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\crossref{https://doi.org/10.4213/tmf356}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1956648}
\zmath{https://zbmath.org/?q=an:1066.81625}
\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 132
\issue 2
\pages 1059--1070
\crossref{https://doi.org/10.1023/A:1019796407374}
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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