Abstract
The measurements of high energy \bar p p and pp elastic at ISR, SPS and Tevatron colliders have provided usefull informations on the behavior of the scattering amplitude. A large step in energy domain is accomplished with the LHC collider presently running, giving a unique opportunity to improve our knowledge on the asymptotic regime of the elastic scattering amplitude and to verify the validity of our theoretical approach, to describe the total cross section σ_{tot}(s), the total elastic cross section σ_{el}(s), the ratio of the real to imaginary parts of the forward amplitude ρ(s) and the differential cross section dσ(s,t)/dt.
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