  The application of a modified gluon propagator and an infrared frozen running
co upling constant in the description of the proton-proton elastic scattering
is in vestigated. The model based on the exchange of the Pomeron as a pair of
non-pert urbative gluons is modified to include the frozen coupling constant in
the infra red kinematic region. A good fit to the data of the differential
cross section f or different center of mass energies (53 GeV and 1.8 TeV) is
obtained.
