Evidence for Rapidly Risingρ−ρTotal Cross Section from Cosmic-Ray Data

Abstract

We give estimates of lower bounds on the p-p total cross section based on cosmic-ray data. We find that o&& rises at least as rapidly as 88,8+0.41n (s/sp) from E-10 to 8 && 10 GeV incident energy, corresponding to 0~-60 mb at the highest energy available.In view of large experimental errors at the highest energies, a value of cr&&-48 mb can be estimated at 95% confidence level at & 104 GeV.Total particle-proton cross sections are of immense theoretical interest. Much of the excitement about the early Serphukov data arose because of the unexpected behavior of these cross sections, and a variety of models and explanations for the behavior of the cross sections have been advanced and await experimental test. ' Unfortunately, all of these models seem to suggest that the dependence of the total cross sections on energy will be logarithmic, so that it becomes difficult to test them at accelerator energies.

On the coherence between high-energy total cross-section data when compared with general principles

“…~ of the order of 40 mb -appeared as as a small correction in the ISR energy range when compared with the usual Regge the ln! s behaviour of oy-; 2) the new term, responsible for the lnz s increase of or acts discovery of increasing total cross-sections : 1) the increase is perfectly compatible with On the theoretical level [6] two facts were striking, from the very moment of the was confirmed by later experiments performed at ISR both in pp and pp scattering [5].…”

“…[12], the predicted value of ar at (/E = 1.8 TeV is 76. 5 by Bourrely and Martin [16], which were published before the Tevatron data were In order to answer this question we consider the class of functions Proposed our class of functions, such as the case or --+ const. as s -> oo.…”

Introduction to the physics of the total cross section at LHC

“…Indeed, the rise of the total cross section, hinted at by the earliest experiments at the CERN Intersecting Storage Rings (ISR), could be seen clearly in cosmic ray experiments as shown in [37,38]. In [37], Yodh et al stress the inconclusiveness of data concerning the energy behavior of the total cross section. Since the rise, if at all, would be logarithmic, it is pointed out that one needs to go to much higher energies, such as those reached by cosmic ray experiments, where even logarithmic variations can be appreciable.…”

First measurement of the total proton-proton cross-section at the LHC energy of \chem{\sqrt{s} = 7\,TeV}

“…-The observation of the rise of the total cross-section with energy was one of the highlights at the ISR, the first CERN collider [1][2][3][4]. Some indirect indications for this unforeseen phenomenon had already come earlier from high-energy cosmic-ray showers [5][6][7]. A long series of total proton-antiproton cross-section measurements followed in the last decades both at the CERN SppS collider [8,9] and at the TEVATRON [10][11][12][13].…”