  One of the more interesting developments from recent collider experiments is
the finding that hadronic total cross sections as well as elastic cross s
ections can be described by the exchange of a "soft Pomeron" pole in the
near-forward limit. The most impor tant consequence of Pomeron being a pole is
the factorization property. However, due to Pomeron intercept being greater
than 1, the extrapolated single diffraction dissociation cross section based on
a classical triple-Pomeron formula is too large leading to a potential
unitarity violation at Tevatron energies. It is our desire here to examine
carefully the notion of Pomeron flux renormalization, proposed by Goulianos,
and to suggest an alternative resol ution. Our treatment lies in a proper
implementation of final-state screening correction, with "flavoring" for
Pomeron as the primary dynamical mechanism for setting the relevant energy s
cale. In our scheme, which we shall occasionally refer to as ``unitarization of
Pomeron flux", initia l-state screening remains unimportant, consistent with
the pole dominance picture for elastic and total cross section hypothesis at
Tevatron energies. Since factorization remains intact, umambiguo us predictions
for double Pomeron exchange, doubly diffraction dissociation, etc., both at
Tevatron and at LHC energies, can be made.
