Of Dips, Structures and Eikonalization

Abstract

We have investigated several models of Pomeron and Odderon contributions to high energy elastic $pp$ and $\bar{p}p$ scattering. The questions we address concern their role in this field, the behavior of the scattering amplitude (or of the total cross-section) at high energy, and how to fit all high energy elastic data. The data are extremely well reproduced by our approach at all momenta and for sufficiently high energies. The relative virtues of Born amplitudes and of different kinds of eikonalizations are considered. An important point in this respect is that secondary structures are predicted in the differential cross-sections at increasing energies and these phenomena appear quite directly related to the procedure of eikonalizing the various Born amplitudes. We conclude that these secondary structures arise naturally within the eikonalized procedure (although their precise localization turns out to be model dependent). The fitting procedure naturally predicts the appearance of a zero at small $|t|$ in the real part of the even amplitude as anticipated by general theorems. We would like to stress, once again, how important it would be to have at LHC both $pp$ and $p\bar{p}$ options for many questions connected to the general properties of high energy hadronic physics and for a check of our predictions.

28 pages, LaTeX, 7 figures

References in corpus (2)

• A New Odderon Solution in Perturbative QCD
• Eikonalization and Unitarity Constraints

Cited by in corpus (17)

• Elastic scattering of hadrons
• Forward Physics at the LHC; Elastic Scattering
• Introduction to the physics of the total cross-section at LHC: A Review of Data and Models
• Soft QCD Dynamics of Elastic Scattering in Impact Parameter Representation
• The Odderon in Quantum Chromodynamics
• The Odderon in High Energy Elastic pp Scattering
• Near Forward pp Elastic Scattering at LHC and Nucleon Structure
• pp Elastic Scattering at LHC in Near Forward Direction
• Deep-Elastic pp Scattering at LHC from Low-x Gluons
• Diffractive effects in spin-flip pp amplitudes and predictions for relativistic energies
• The black disk to be observed in the Orear region
• Reflection and dips in elastic scattering
• Eikonalization and Unitarity Constraints
• Secondary dips and the asymptotics
• Rescattering corrections in elastic scattering
• Damping of the HERA effect in DIS?
• Diffractive processes at high energies