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Elastic scattering slope and total cross section relations
Authors:V Barger  RJN Phillips
Institution:Department of Physics, University of Wisconsin, Madison, Wisconsin 53706 USA;Rutherford Laboratory, Chilton, Didcot, Oxon, England
Abstract:The empirical equality of B2σt is noted, for the pomeron terms in NN, πN, KN, ?N, ωN, and φN scattering, where B is the elastic slope parameter and σt is the total cross section. This ratio increases slowly with energy, but remains the same in all channels. This is equivalent to a relation between the diffractive interaction radii and opacities; the opacity scales with the square of the radius. We conjecture that this systematics extends to ψN scattering. We contrast B2σt universaility with the slope predictions of an f-coupled pomeron model. Some other predictions of the f-dominance hypothesis are tested against data.
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