Eur. Phys. J. C (2013) 73: 2326
https://doi.org/10.1140/epjc/s10052-013-2326-9

Regular Article - Theoretical Physics

Amplitudes and observables in pp elastic scattering at

¹ Instituto de Fisica, Universidade Federal do Rio de Janeiro, C.P. 68528, Rio de Janeiro, 21945-970, RJ, Brazil
² EMMI at FIAS-Frankfurt Institute for Advanced Study, Ruth-Moufang Str. 1, 60438, Frankfurt am Main, Germany

^* e-mail: erasmo@if.ufrj.br

Received: 12 December 2012
Revised: 29 January 2013
Published online: 26 February 2013

Abstract

A precise analysis of the pp elastic scattering data at 7 TeV in terms of its amplitudes is performed as an extension of previous studies for lower energies. Slopes B _R and B _I of the real and imaginary amplitudes are independent quantities, and a proper expression for the Coulomb phase is used. The real and imaginary amplitudes are fully disentangled, consistently with forward dispersion relations for amplitudes and for slopes. We present analytic expressions for the amplitudes that cover all t range completely, while values of total cross section σ, ratio ρ, B _I , and B _R enter consistently to describe forward scattering. It is stressed that the identification of the amplitudes is an essential step for the description of elastic scattering, and pointed out the importance of the experimental investigation of the transition range from non-perturbative to perturbative dynamics, which may confirm the three gluon exchange mechanism observed at lower energies.