The diffraction cone shrinkage speed up with the collision energy

TL;DR

This paper discusses how the speed of diffraction cone shrinkage increases with collision energy, linking it to the rapid rise in total cross-section approaching the Froissart limit, and challenges the simple linear models.

Contribution

It introduces a model based on the multiperipheral ladder structure of the Pomeron that explains the energy-dependent behavior of diffraction cone shrinkage.

Findings

Diffraction cone shrinkage speed increases with energy.

Experimental data supports a non-linear dependence.

Connection established with the Froissart limit.

Abstract

The multiperipheral ladder structure of the Pomeron leads to the quite natural conclusion that the elastic slope Bel is not simple linear function of the colliding particles energy logarithm. The existing experimental data on the diffraction cone shrinkage points to such "complicated" dependence indeed. The shrinkage diffraction cone speed up with the beam energy is directly connected with an extreme rise of total cross-section (Froissart limit).