Truncated BFKL Series and Hadronic Collisions

We study the contribution of a truncated BFKL Pomeron series to the hadronic processes showing that a reliable description is obtained using two orders in perturbation theory. The pp(pp̄) total cross sections are described with good agreement, consistent with the unitarity bound. We also calculate the elastic scattering amplitude at non zero momentum transfer t, introducing two distinct ansätze for the proton impact factor. As a by product the elastic differential cross section is obtained at small t approximation and compared with the data, describing with good agreement this observable for both low and high energies values.