Diffraction at the LHC – antishadow scattering?

Abstract

Numerical predictions for the global characteristics of proton-proton interactions are given for the LHC energy. Possibilities for the discovery of the antishadow scattering mode and its physical implications are discussed.

Antishadowing and Multiparticle Production

“…The value of mean multiplicity expected at the LHC maximum energy ( √ s = 14 TeV) is about 110. Note that the numerical estimates for the total cross-section and the ratio of elastic to total cross-section of pp-interaction at this energy in the model are the following: σ tot ≃ 230 mb and σ el (s)/σ tot (s) ≃ 0.67 [4]. The latter value could help to detect antishadow scattering mode unambiguously.…”

Diffractive vector meson production

“…The latter has been suggested also from the consideration of the so-called fan diagrams ( [198], similar results are found from different approximate non-linear evolution equations [199,200]), for the so-called U-matrix approach see [201].…”

“…A very closely related model was proposed by Martynov et al [231,232]. Troshin and Tyurin suggested a parameterization of vector meson production amplitudes in which the high energy growth is tamed by the U-matrix unitarity constraints [201]. Haackman et al [233] start with the soft Pomeron with ∆ IP > 0 and impose the unitarization by reggeon field theory methods as mentioned in Section 3.1.4.…”

Does the diffraction cone shrinkage with energy originate from unitarity?

“…In addition, the structure of the angular distributions of the off-mass shell particle scattering amplitude might be rather different compared to the angular structure of the amplitude for real particles scattering [17].…”