(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 , 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
, 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