The European Physical Journal C

, Volume 52, Issue 2, pp 357–362 | Cite as

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

Regular Article - Theoretical Physics

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 σtot and ρ ratios, using a constraint from the FESR of the P type for πp 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 Bpp is consistent with Bπp within two standard deviations, which appears to support the universality hypothesis.

Keywords

Total Cross Section Particle Data Group Unphysical Region Hadronic Total Cross Section Exact Constraint 

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2007

Authors and Affiliations

  1. 1.Department of PhysicsSchool of Science and Engineering, Meisei UniversityTokyoJapan
  2. 2.Theoretical Physics LaboratoryRIKENSaitamaJapan

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