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- W1991467765 abstract "In studies of high energy $pp$ and $overline{p}p$ scattering, the odd (under crossing) forward scattering amplitude accounts for the difference between the $pp$ and $overline{p}p$ cross sections. Typically, it is taken as ${f}_{ensuremath{-}}=ensuremath{-}frac{p}{4ensuremath{pi}}D{s}^{ensuremath{alpha}ensuremath{-}1}{e}^{iensuremath{pi}(1ensuremath{-}ensuremath{alpha})/2}$ ($ensuremath{alpha}ensuremath{sim}0.5$), which has $ensuremath{Delta}ensuremath{sigma}$, $ensuremath{Delta}ensuremath{rho}ensuremath{rightarrow}0$ as $sensuremath{rightarrow}ensuremath{infty}$, where $ensuremath{rho}$ is the ratio of the real to the imaginary portion of the forward scattering amplitude. However, the odd-signatured amplitude can have in principle a strikingly different behavior, ranging from having $ensuremath{Delta}ensuremath{sigma}ensuremath{rightarrow}mathrm{text{nonzero constant}}$ to having $ensuremath{Delta}ensuremath{sigma}ensuremath{rightarrow}mathrm{ln}s/{s}_{0}$ as $sensuremath{rightarrow}ensuremath{infty}$, the maximal behavior allowed by analyticity and the Froissart bound. We reanalyze high energy $pp$ and $overline{p}p$ scattering data, using new analyticity constraints, in order to put new and precise limits on the magnitude of ``odderon'' amplitudes." @default.
- W1991467765 created "2016-06-24" @default.
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- W1991467765 date "2006-05-02" @default.
- W1991467765 modified "2023-09-25" @default.
- W1991467765 title "New limits on “odderon” amplitudes from analyticity constraints" @default.
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- W1991467765 doi "https://doi.org/10.1103/physrevd.73.094003" @default.
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