A previously successful model for purely hadronic total cross-sections, based
on QCD minijets and soft-gluon resummation, is here applied to the total
photoproduction cross section. We find that our model in the gamma p case
predicts a rise with energy stronger than in the pp -pbarp case.Comment: 5 pages, 3 figures, presented at ISMD08, 15-20 September 2008, DES