Journal
PHYSICAL REVIEW LETTERS
Volume 107, Issue 21, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.107.212002
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Funding
- National Science Foundation [OPP-0236449, 1066293]
- DOE [DE-FG02-95ER40896]
- University of Wisconsin Alumni Research Foundation
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Although experimentally accessible energies cannot probe asymptopia, recent measurements of inelastic pp cross sections at the LHC at 7000 GeV and by Auger at 57 000 GeV allow us to conclude that (i) both sigma(inel) and sigma(tot), the inelastic and total cross sections for pp and (p) over barp interactions, saturate the Froissart bound of ln(2)s, (ii) when s -> infinity, the ratio sigma(inel)/sigma(tot) is experimentally determined to be 0.509 +/- 0.021, consistent with the value 0.5 required by a black disk at infinite energies, and (iii) when s -> infinity, the forward scattering amplitude becomes purely imaginary, another requirement for the proton to become a totally absorbing black disk. Experimental verification of the hypotheses of analyticity and unitarity over the center of mass energy range 6 <= root s <= 57000 GeV are discussed. In QCD, the black disk is naturally made of gluons; our results suggest that the lowest-lying glueball mass is 2.97 +/- 0.03 GeV.
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