High-Energy Relations Between Elastic Scattering Amplitudes of Particles and Antiparticles
Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 2, pp. 198-210
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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.
@article{TMF_2002_132_2_a1,
author = {Yu. S. Vernov and M. N. Mnatsakanova},
title = {High-Energy {Relations} {Between} {Elastic} {Scattering} {Amplitudes} of {Particles} and {Antiparticles}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {198--210},
publisher = {mathdoc},
volume = {132},
number = {2},
year = {2002},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2002_132_2_a1/}
}
TY - JOUR AU - Yu. S. Vernov AU - M. N. Mnatsakanova TI - High-Energy Relations Between Elastic Scattering Amplitudes of Particles and Antiparticles JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2002 SP - 198 EP - 210 VL - 132 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2002_132_2_a1/ LA - ru ID - TMF_2002_132_2_a1 ER -
%0 Journal Article %A Yu. S. Vernov %A M. N. Mnatsakanova %T High-Energy Relations Between Elastic Scattering Amplitudes of Particles and Antiparticles %J Teoretičeskaâ i matematičeskaâ fizika %D 2002 %P 198-210 %V 132 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2002_132_2_a1/ %G ru %F TMF_2002_132_2_a1
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/