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- W2037092807 abstract "Asymptotically free field theories make definite predictions for the behavior of the hadronic vacuum polarization tensor in the spacelike region. A theorem due to Meiman is used to combine these predictions with the analyticity of the vacuum polarization tensor to derive in a rigorous way the asymptotic behavior of the cross section for electron-positron annihilation into hadrons. Our theorems allow this cross section to oscillate indefinitely about a well-defined value. An explicit example is exhibited which demonstrates that such oscillations are not excluded and that the restrictions imposed on the annihilation cross section at finite energies are very weak. Even if oscillations of the leading term in the cross section which do not die out asymptotically are excluded as unphysical, very little can be said about the behavior of the nonleading terms without making very restrictive assumptions." @default.
- W2037092807 created "2016-06-24" @default.
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- W2037092807 date "1975-02-01" @default.
- W2037092807 modified "2023-09-23" @default.
- W2037092807 title "Asymptotic behavior of the cross section for<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>→</mml:mo><mml:mi mathvariant=normal>hadrons</mml:mi></mml:math>in asymptotically free field theories" @default.
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- W2037092807 doi "https://doi.org/10.1103/physrevd.11.580" @default.
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