Soft and hard Pomerons in hadron elastic scattering at small t

We consider simple-pole descriptions of soft elastic scattering for pp, pp, π±p and K±p. We work at t and s small enough for rescatterings to be effectively absorbed in a simple-pole parametrization, and allow for the presence of a hard Pomeron. After building and discussing an exhaustive dataset, we show that simple poles provide an excellent description of the data in the region -0.5 GeV2≤t≤-0.1 GeV2, 6 GeV≤√(s)≤63 GeV. We show that new form factors have to be used, and get information on the trajectories of the soft and hard Pomerons