New limits on "odderon" amplitudes from analyticity constraints

Abstract

In studies of high energy $pp$ and $\bar{p}p$ scattering, the odd (under crossing) forward scattering amplitude accounts for the difference between the $pp$ and $\bar{p}p$ cross sections. Typically, it is taken as $f_{-}=-\frac{p}{4\pi }D{s}^{\alpha -1}{e}^{i\pi (1-\alpha )/2}$ ($\alpha \sim 0.5$), which has $\Delta \sigma ,\Delta \rho \to 0$ as $s\to \infty$, where $\rho$ 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 $\Delta \sigma \to$non-zero constant to having $\Delta \sigma \to \ln s/s_0$ as $s\to \infty$, the maximal behavior allowed by analyticity and the Froissart bound. We reanalyze high energy $pp$ and $\bar{p}p$ scattering data, using new analyticity constraints, in order to put new and precise limits on the magnitude of ``odderon'' amplitudes.

13 pages LaTex, 6 figures

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Cited by in corpus (3)

• Hadronic forward scattering: Predictions for the Large Hadron Collider and cosmic rays
• Note on inconsistency of unitarity saturation and maximal odderon
• Dispersion relations for meson-proton and proton-proton forward elastic scattering