2004/06/29 by Giulia Pancheri, Pancheri, Giulia, Yogendra Srivastava +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0406321
5 pages, 1 figure; an additional datum ($\sqrt{s} = 546 GeV$) has been added
arxiv created 2004/07/01 · arxiv updated 2009/12/01
Under the assumption of total absorption and dominance of the imaginary part of the scattering amplitude, we present a sum rule for any hadronic elastic differential cross-section dσ\overdt: the dimensionless quantity 1\over2∫ (dt)√1\over πdσ\overdt → 1, at asymptotic energies. Experimental data from ISR and Tevatron confirm a trend towards its saturation and some estimates are presented for LHC. Its universality and further consequences for the nature of absorption in QCD based models for elastic and total cross-sections are explored.