Universal Rise of Hadronic Total Cross Sections based on Forward pi p and pbarp(pp) Scatterings

Abstract

Recently there are several evidences of the increase of the total cross section sigma(tot) to be log2 s consistent with the Froissart unitarity bound, and the COMPETE collaborations in the PDG have further assumed sigma(tot) = B log2(s/s0) to extend its universal rise with a common value of B for all the hadronic scatterings. However, there is no rigorous proof yet based only on QCD. Therefore, it is worthwhile to prove this universal rise of sigma(tot) even empirically. In this letter we attempt to obtain the value of B for pi p scattering, B(pi p), with reasonable accuracy by taking into account the rich pi p data in all the energy regions. We use the finite-energy sum rule(FESR) expressed in terms of the pi p scattering data in the low and intermediate energies as a constraint between high-energy parameters. We then have searched for the simultaneous best fit to the sigma(tot) and rho ratios, the ratios of the real to imaginary parts of the forward scattering amplitudes. The lower energy data are included in the integral of FESR, the more precisely determined is the non-leading term such as log s, and then helps to determine the leading terms like log2 s. We have derived the value of B(pi p) as B(pi p)=0.311 +- 0.044mb. This value is to be compared with the value of B for pbarp,pp scattering, B(pp), in our previous analysis[11], B(pp)=0.289 +- 0.023mb. Thus, our result appears to support the universality hypothesis.

arXiv comment7 pages, to be published in Phys. Lett. B

References in corpus (11)

• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• The Renormalization Group Equation for the Color Glass Condensate
• Hadronic scattering amplitudes: medium-energy constraints on asymptotic behaviour
• Froissart Bound from Gluon Saturation
• New evidence for the saturation of the Froissart bound
• Evidence for the saturation of the Froissart bound
• Total Cross Section Measurements with pi-, Sigma- and Protons on Nuclei and Nucleons around 600 GeV/c
• Investigations of the pi N total cross sections at high energies using new FESR: log nu or (log nu)^2
• Predictions of pp, pbar p total cross section and rho ratio at LHC and cosmic-ray energies
• On the universality of cross sections of hadron-hadron(nuclei) collisions at superhigh energies
• Test of the Universal Rise of Hadronic Total Cross Sections at Super-high Energies

Cited by in corpus (8)

• Total Hadronic Cross Sections and π^\mp π^+ Scattering
• Asymptotic Energy Dependence of Hadronic Total Cross Sections from Lattice QCD
• Hadronic total cross sections at high energy and the QCD spectrum
• Test of Universal Rise of Hadronic Total Cross Sections based on pi p, Kp and pbar p,pp Scatterings
• Comments on high-energy total cross sections in QCD
• Renormalisation of gauge theories on general anisotropic lattices and high-energy scattering in QCD
• Rise of Kp Total Cross Section and Universality
• High-energy behavior of hadronic total cross sections from lattice QCD