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- W2022065399 abstract "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 ${ensuremath{sigma}}_{mathrm{inel}}$ and ${ensuremath{sigma}}_{mathrm{tot}}$, the inelastic and total cross sections for $pp$ and $overline{p}p$ interactions, saturate the Froissart bound of ${ln}^{2}s$, (ii) when $sensuremath{rightarrow}ensuremath{infty}$, the ratio ${ensuremath{sigma}}_{mathrm{inel}}/{ensuremath{sigma}}_{mathrm{tot}}$ is experimentally determined to be $0.509ifmmodepmelsetextpmfi{}0.021$, consistent with the value 0.5 required by a black disk at infinite energies, and (iii) when $sensuremath{rightarrow}ensuremath{infty}$, 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 $6ensuremath{le}sqrt{s}ensuremath{le}57000text{ }text{ }mathrm{GeV}$ are discussed. In QCD, the black disk is naturally made of gluons; our results suggest that the lowest-lying glueball mass is $2.97ifmmodepmelsetextpmfi{}0.03text{ }text{ }mathrm{GeV}$." @default.
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- W2022065399 date "2011-11-15" @default.
- W2022065399 modified "2023-10-17" @default.
- W2022065399 title "Experimental Confirmation that the Proton is Asymptotically a Black Disk" @default.
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- W2022065399 doi "https://doi.org/10.1103/physrevlett.107.212002" @default.
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