  The elastic hadronic amplitude is calculated using the nonperturbative
light-cone dipole representation for gluon bremsstrahlung. The data for large
mass diffraction demand a two-scale structure of light hadrons: the gluon
clouds of the valence quarks with a size of 0.3fm and the hadronic size 1fm.
The presence of the two scales unavoidably leads to a specific form for the
total hadronic cross section which consists of a steeply rising \propto
s^{\Delta} (\Delta=0.17 +/- 0.01) term related to gluon radiation, and a large
constant term originating from soft interactions which does not induce any
gluon emission. Our calculations reproduce well the total cross sections and
elastic slopes \cite{k3p}. To further test the model, we analyze the elastic pp
and ppbar differential cross sections and extract the partial amplitudes in the
impact parameter representation. The Pomeron trajectory as a function of the
impact parameter is only slightly above one for central collisions, but steeply
grows towards the periphery. The model predicts correctly the shape and energy
dependence of the partial amplitude at all impact parameters.
