A simple model for high-energy nucleon–nucleon elastic diffraction and exclusive diffractive electroproduction of vector mesons on protons

Abstract

The processes of exclusive diffractive scattering p + p → p + p,p + p →p + p, and γ * + p → V + p at high energies are considered in the framework of a unified Regge-eikonal model with a very simple reggeon structure of the eikonal. It is demonstrated that the pomeron trajectory is universal in all reactions and having intercept about 1.31 which could be extracted explicitly from the data on the proton structure function F 2 (x, Q 2 ). The predictions for the proton-proton cross-sections at LHC energies are given. 6 The resonance masses are determined from equations like α(M 2 − iM Γ) = J (here α(t) is some Regge trajectory and J is the resonance spin) which do not imply that Re α(M 2 ) = J and Im α(M 2 ) = 0. The decay widths Γ are only few times less than the corresponding masses M : for example, for f 2 (1270)-mesonConsequently, Chew-Frautschi plots should be considered only as very rough approximations to the true Regge trajectories in the resonance region.

Current stage of understanding and description of hadronic elastic diffraction

“…The phenomenological models of the nucleon-nucleon elastic diffractive scattering, proposed before the TOTEM preliminary results had been published, could be divided into 2 groups: the models exploiting the notion of reggeons [10,11,12,13,14,17,18,19,23,24,25,26,27] and the non-reggeon models [15,16,20,21,22].…”

“…In several reggeon models the eikonal representation of the scattering amplitude is used, where the eikonal is the sum of single-reggeon exchange terms with a supercritical pomeron (or pomerons) as the leading term [13,14,27]. Other reggeon models do not use the eikonal representation but introduce some complicated leading Regge singularities: the pomeron as double Regge pole in [10,11,12,17,23], and the so-called froissaron, the leading Regge cut, in [18,19].…”