Phenomenology of Elastic Hadron Diffraction

Abstract

Recent experimental data on high‐energy elastic scattering of hadrons is reviewed in the light of various theoretical models with special emphasize on the dipole (or geometrical) Pomeron. As suggested by its name, this model combines the properties of two different approaches: the analytic and geometric ones. Its virtue is simplicity, which makes possible analytic calculation of many complicated problems.

New physics from TOTEM’s recent measurements of elastic and total cross sections

“…A remarkable property of the DP pomeron, noticed by R. Phillips [17], see also the Appendix in Ref. [18] is that it scales, i.e. reproduces itself against unitarity corrections.…”

Pomeron in exclusive vector meson production

“…This means that the tchannel partial wave, corresponding to the Pomeron exchange, has a double pole for ℓ = α(t). In this choice we are comforted by the numerous successes of this model in its applications to hadronic reactions [4,5,7]. The total cross section will then increase logarithmically with s at large energies.…”

“…Following tradition [18], it is a customary practice to adopt a linear Pomeron trajectory in order to describe hadronic interactions. In a different approach [7,19] that provides a satisfactory fit to pp and pp data a square root trajectory similar to that of Eq. (3) has been preferred.…”

The additive quark model revisited: Hadron- and photon-induced cross sections

“…where s 0 = 1 GeV 2 . The second model is the Dipole Pomeron (DP) model (see, for instance [14]), corresponding to a sum of a simple pole and a double j-pole with unit intercepts…”