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

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

2002-04-15

arxiv.org/abs/hep-ph/0204162v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk presented at Moriond conf. 2002. 4 pages, 1 eps figure, uses moriond.sty

Scientific paper

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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