  A simple model for elastic diffractive hadron scattering, reproducing the
dip-bump structure is used to analyze PP and $\bar PP$ scattering. The main
emphasis is on the delicate and non-trivial dynamics in the dip-bump region,
near t=-1 GeV$^2$. The simplicity of the model and the expected smallness of
the absorption corrections enables one the control of various contributions to
the scattering amplitude, in particular the interplay between the C-even and
C-odd components of the amplitude, as well as their relative contribution,
changing with s and t. The role of the non-linearity of the Regge trajectories
is scrutinized. The ratio of the real to imaginary parts of the forward
amplitude, the ratio of elastic to total cross sections and the inelastic cross
section are calculated. Predictions for the LHC energy region, where most of
the exiting models will be either confirmed or ruled out, are presented.
