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We consider simple-pole descriptions of soft elastic scattering for pp, pbarp, pi+ p, pi- p, K+ p and K- p. We work at t and s small enough forrescatterings to be neglected, and allow for the presence of a hard pomeron.After building and discussing an exhaustive dataset, we show that simple polesprovide an excellent description of the data in the region - 0.5 GeV^2 < t <-0.1 GeV^2, 6 GeV<sqrt(s)< 63 GeV. We show that new form factors have to beused, and get information on the trajectories of the soft and hard pomerons.Comment: 27 pages, 9 figures, LaTeX. A few typos fixed, and references  correcte

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Soft and hard Pomerons in hadron elastic scattering at small<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>t</mml:mi></mml:math>

Soft and hard Pomerons in hadron elastic scattering at smallt