On the eikonal unitarisation at high energies

Abstract

We consider approaches to the eikonal-like unitarization of elastic amplitude and its generalizations in theories where cross-sections grow with energy, and we discuss corresponding mechanisms of the multiple exchange standing behind it. In particular, we argue that in such theories the weight of the $n$-fold exchanges can grow with $n$ much faster than for the simplest Glauber eikonal.

Comments: 25 pages, 3 figures, minor correction