Sum rules for hadronic elastic scattering for the Tevatron, RHIC and LHC
Pancheri, Giulia · Srivastava, Yogendra · Staffolani, Nicola
Original · EN
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 dσdt: the dimensionless quantity 12∫ (dt)√1 πdσdt → 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.
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