Investigations of the pi N total cross sections at high energies using new FESR: log nu or (log nu)^2

Details Investigations of the pi N total cross sections at high energies using new FESR: log nu or (log nu)^2 Investigations of the pi N total cross sections at high energies using new FESR: log nu or (log nu)^2

2002-02-16

arxiv.org/abs/hep-ph/0202163v3

Phys.Rev. D66 (2002) 034023

Physics

High Energy Physics

High Energy Physics - Phenomenology

to be published in Phys. Rev. D 5 pages, 2 eps figures

Scientific paper

10.1103/PhysRevD.66.034023

We propose to use rich informations on pi p total cross sections below N= 10 GeV in addition to high-energy data in order to discriminate whether these cross sections increase like log nu or (log nu)^2 at high energies, since it is difficult to discriminate between asymptotic log nu and (log nu)^2 fits from high-energy data alone. 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 show from this analysis that the (log nu)^2 behaviours is preferred to the log nu behaviours.

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