Eikonal profile functions and amplitudes forppandp¯pscattering

Abstract

The eikonal profile function J(b) obtained from the Model of the Stochastic Vacuum is parametrized in a form suitable for comparison with experiment. The amplitude and the extended profile function (including imaginary and real parts) are determined directly from the complete pp andpp elastic scattering data at high energies. Full and accurate representation of the data is presented, with smooth energy dependence of all parameters. The changes needed in the original profile function required for description of scattering beyond the forward direction are described.

pp elastic scattering at LHC energies

“…4. This question has been discussed a long time ago [1,2]. The figure shows that Z I and the dip position tend to the (apparently) common finite limit.…”

“…These expressions give a high precision representation for all data [1][2][3]5,12], with coherent and reliable identification of the real and imaginary amplitudes. Properties and consequences for the energy range above 1 TeV are discussed in the present paper, with particular attention to the experimental LHC energies.…”

“…In high energy pp(p) scattering, the scattering amplitude is usually represented as T (s, t), where t is the four momentum transfer squared. More than a decade ago, Ferreira and Pereira analyzed all available elastic scattering data for energies above 20 GeV [1,2] and all |t|, identifying properties of the amplitudes (zeros, signs, magnitudes), with proper attention given to the real part, which plays a critical role in differential cross sections for mid and large |t| ranges.…”

pp interactions in extended air showers

“…where K = R, I indicates either the real or the imaginary part and a 0 = 1.39 GeV −2 is a constant from the stochastic vacuum model [6,7]. The second term comes from the stochastic vacuum model, representing the effect of interaction of Wilson loops.…”

“…Recent detailed analyses [1][2][3][4][5] of the experimental pp and pp scattering data based on a QCD inspired model [6,7] reproduces the observed cross sections for all energies with high accuracy. These analyses lead to a precise analytic representation of the elastic scattering amplitudes, disentangling the real and imaginary parts, respecting unitarity and causality conditions, with regular energy dependence that gives confidence in extrapolation to higher energies.…”