Finite gluons ladders and hadronic collisions

A truncated BFKL Pomeron series is studied and applied to the hadronic proc esses. The sigma (pp(p (p) over bar))(tot) are described with good agreemen t and consistent with the unitarity bound. The elastic scattering amplitude is calculated at t not equal 0, introducing two distinct ansatze for the p roton impact factor. The d sigma (el)/dt is obtained at small t approximati on and compared with the data.