A universal sum rule for hadronic elastic scattering with applications to the Tevatron, RHIC and LHC
Laboratori Nazionali di INFN, Frascati, Italy
2 Dipartimento di Fisica and INFN, Universitá di Perugia, Italy
3 Physics Department, Northeastern University, Boston, MA, USA
* e-mail: Giulia.Pancheri@lnf.infn.it
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.
© Springer-Verlag, 2005