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A universal sum rule for hadronic elastic scattering with applications to the Tevatron,RHIC and LHC

Authors:	Email author" target="_blank">G?Pancheri Email author Y?Srivastava N?Staffolani

Institution:	(1) Laboratori Nazionali di INFN, Frascati, Italy;(2) Dipartimento di Fisica and INFN, Universitá di Perugia, Italy;(3) Physics Department, Northeastern University, Boston, MA, USA

Abstract:	Under the assumption that at high energies total absorption prevails so that the imaginary part of the scattering amplitude dominates, we present a sum rule for all hadronic elastic differential cross-sections. We find that the dimensionless quantity $\frac {{1}}{{2}}\int (\mathrm {d}t)\sqrt{\frac {{1}}{{\uppi}}\frac {{\mathrm {d}\sigma}}{{\mathrm dt}}} \rightarrow 1$ , at asymptotic energies. A comparison with experimental data from ISR and Tevatron confirms 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.Received: 15 August 2004, Revised: 27 April 2005, Published online: 8 July 2005

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