The AKM theorem and oscillations in the hadron scattering amplitude at high energy and small momentum transfer

We show that the high precision dNdt UA4/2 data at s = 541 GeV are compatible with the presence of Auberson-Kinoshita-Martin (AKM) type of oscillations at very small momentum transfers. These oscillations seem to be periodic in |t|, the corresponding period being ⋍ 2·10−2 GeV. The existence of such visible oscillations suggests a general mechanism of saturation of axiomatic bounds. As an illustration the consequences for extracting the parameter ϱ = ReFImF from dNdt data are also discussed.