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Do the pi N Total Cross Sections Increase Like log nu or log2 nu at High Energies ?

Keiji Igi·Muneyuki Ishida
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Abstract

We propose to use rich informations on pi p total cross sections below N=10 GeV in order to investigate whether these cross sections increase like log nu or log2 nu at high energies. A finite-energy sum rule (FESR) which is derived in the spirit of the P' sum rule as well as the n=1 moment FESR have been required to constrain the high-energy parameters. We then searched for the best fit of pi p total cross sections above 70 GeV in terms of high-energy parameters constrained by these two FESR. We can conclude that our analysis strongly favours the log2 nu behaviors satisfying the Froissart unitarity bound.

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Keiji Igi, Muneyuki Ishida. 2002-04-15. Do the pi N Total Cross Sections Increase Like log nu or log2 nu at High Energies ?. https://arxiv.org/abs/hep-ph/0204162

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