The Pomeron and Odderon in elastic, inelastic and total cross sections at the LHC

Abstract

A simple model for elastic diffractive hadron scattering, reproducing the dip-bump structure is used to analyze PP and $\bar{P}P$ scattering. The main emphasis is on the delicate and non-trivial dynamics in the dip-bump region, near t=-1 GeV${}^2$. The simplicity of the model and the expected smallness of the absorption corrections enables one the control of various contributions to the scattering amplitude, in particular the interplay between the C-even and C-odd components of the amplitude, as well as their relative contribution, changing with s and t. The role of the non-linearity of the Regge trajectories is scrutinized. The ratio of the real to imaginary parts of the forward amplitude, the ratio of elastic to total cross sections and the inelastic cross section are calculated. Predictions for the LHC energy region, where most of the exiting models will be either confirmed or ruled out, are presented.

16 pages, 13 figures. Small correction. To be published in the International Journal of Modern Physics A

References in corpus (3)

• Forward Physics at the LHC; Elastic Scattering
• The high-energy hadron spin-flip amplitude at small momentum transfer and new AN data from RHIC
• The role of double helicity-flip amplitudes in small-angle elastic pp-scattering

Cited by in corpus (20)

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• Introduction to the physics of the total cross-section at LHC: A Review of Data and Models
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• Elastic pp scattering from the optical point to past the dip: an empirical parametrization from ISR to LHC
• Odderon and proton substructure from a model-independent Levy imaging of elastic $pp$ and $p\bar{p}$ collisions
• Evidence of Odderon-exchange from scaling properties of elastic scattering at TeV energies
• Pomeron/glueball and odderon/oddball trajectories
• ${\eta }_c$ production in photon - induced interactions at the AFTER@LHC experiment as a probe of the Odderon
• Shape of Proton and the Pion Cloud
• Extracting the Odderon from $pp$ and $\bar{p}p$ scattering data
• Revision of absorption corrections for the $pp\to pp{\pi }^{+}{\pi }^{-}$ process
• Elastic and diffractive scattering in the LHC era
• Observation of Odderon Effects at LHC energies -- A Real Extended Bialas-Bzdak Model Study
• The Stationary Points and Structure of High-Energy Scattering Amplitude
• New physics from TOTEM's recent measurements of elastic and total cross sections
• Elegent -- an elastic event generator
• An approach to the leading Regge pole
• Two diffraction cones of elastic scattering and structural symmetry conjecture
• Proton Holography -- Discovering Odderon from Scaling Properties of Elastic Scattering
• Model-independent Odderon results based on new TOTEM data on elastic pp collisions at 8 TeV