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

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.