Searching for Extremely High-Energy Behavior from Accelerator-Energy Regions

Abstract

We use rich information on πp total cross sections below N(∼10 GeV) in addition to high-energy data in order to discriminate whether these cross sections increase like log v or log 2 v 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 σ (+) tot above 70 GeV in terms of high-energy parameters constrained by these two FESR. We have shown from this analysis that the log 2 v behavior are preferred to the log v behavior. We also propose to search for pp, pp total cross sections at extremely high-energy from accelerator-energy regions using the similar technique.