Do the pi N Total Cross Sections Increase Like log nu or log2 nu at High Energies ?
High Energy Physics - Phenomenology
2007-05-23 v1
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.
Cite
@article{arxiv.hep-ph/0204162,
title = {Do the pi N Total Cross Sections Increase Like log nu or log2 nu at High Energies ?},
author = {Keiji Igi and Muneyuki Ishida},
journal= {arXiv preprint arXiv:hep-ph/0204162},
year = {2007}
}
Comments
Talk presented at Moriond conf. 2002. 4 pages, 1 eps figure, uses moriond.sty