Experimental confirmation that the proton is asymptotically a black disk.

  title={Experimental confirmation that the proton is asymptotically a black disk.},
  author={Martin M. Block and Francis Halzen},
  journal={Physical review letters},
  volume={107 21},
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 σ(inel) and σ(tot), the inelastic and total cross sections for pp and pp interactions, saturate the Froissart bound of ln(2)s, (ii) when s→∞, the ratio σ(inel)/σ(tot) is experimentally determined to be 0.509 ± 0.021, consistent with the value 0.5 required by a black disk at infinite energies… 

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  • Rev. D 80, 065013
  • 2009
  • Rev. D 72, 036006 (2005); M. M. Block and F. Halzen, Phys. Rev. D 73, 054022
  • 2006
  • Phys. J. C. 47, 697
  • 2006
  • Rev. 123, 1053
  • 1961
  • Rev. D 79, 096003
  • 2009
  • Mod. Phys. 57, 563
  • 1985
  • J. Mod. Phys. A22, 4437, 2007; arXiv:08103391 [hep-th]
  • 2008
Nuovo Cimento 42
  • 930
  • 1966
  • Rev. D 66, 034023
  • 2002
  • Rev. D 60 , 054024
  • 1999