Expansion of the scattering amplitude at large momentum transfers

Generalized upper bound for inelastic diffraction

“…In this REL picture elastic partial amplitude exceeds black-disc limit at small values of b. Several phenomenological models are able to reproduce such transition and among them the one based on the rational unitarization of the leading vacuum Regge-pole contribution with the intercept greater than unity [22] and similar models known under the generic name of the unitarized supercritical Pomeron (cf. [30] for a recent discussion and the references).…”

Space structure of hadrons in elastic scattering at high energy

“…Aside from these explorations, the following mean-squares of impact parameter have not enjoyed much popularity since their introduction [5] < b 2 …”

Different low-xbehavior of the spin structure functionsg1(x)andTroshin1, Tyurin2 1998Phys. Rev. DSelf Cite

“…Unitary representation for the helicity amplitudes follows from their relations [17] to the U-matrix. In the impact parameter representation:…”