Eur. Phys. J. C (2007) 52: 357-362
https://doi.org/10.1140/epjc/s10052-007-0392-6

Regular Article - Theoretical Physics

Test of the universal rise of hadronic total cross sections at super-high energies

¹ Department of Physics, School of Science and Engineering, Meisei University, Hino, Tokyo, 191-8506, Japan
² Theoretical Physics Laboratory, RIKEN, Wako, Saitama, 351-0198, Japan

^* e-mail: ishida@phys.meisei-u.ac.jp

Received: 29 May 2007
Revised: 3 July 2007
Published online: 6 September 2007

Abstract

The increase of the total cross sections at very high energies described by log²(s/s₀) appears to be confirmed. In the analysis of the COMPETE collaboration in the Particle Data Group (2006), the Blog²(s/s₀) was assumed to extend the universal rise of all the total hadronic cross sections to reduce the number of adjustable parameters. We test if the assumption on the universality of B is justified, through investigation of the values of B for π^±p(K^±p) and p̄p,pp scatterings. We search for the simultaneous best fit to the σ_tot and ρ ratios, using a constraint from the FESR of the P^′ type for π^∓p scatterings and constraints that are free from the unphysical regions for the p̄p,pp and K^±p scatterings. By including rich information of the low-energy scattering data owing to the use of FESR, the errors of the B parameters decrease especially for πp. The resulting value of B_pp is consistent with B_πp within two standard deviations, which appears to support the universality hypothesis.