A simple model for elastic diffractive hadron scattering, reproducing the dip-bump structure is used to analyze pp andpp scattering. The main emphasis is on the delicate and non-trivial dynamics in the dip-bump region, near t = −1 GeV 2 . The simplicity of the model and the expected smallness of the absorption corrections enables one the control of various contributions to the scattering amplitude, in particular the interplay between the Ceven and C-odd components of the amplitude, as well as their relative contribution, changing with s and t. The role of the non-linearity of the Regge trajectories is scrutinized. The ratio of the real to imaginary parts of the forward amplitude, the ratio of elastic to total cross sections and the inelastic cross section are calculated. Predictions for the LHC energy region, where most of the exiting models will be either confirmed or ruled out, are presented.
We show that the data for the total cross section and for the real part of
the elastic amplitude indicate the presence of a hard pomeron in pi p and Kp
elastic scattering at t=0, compatible with that observed in deep inelastic
scattering. We show that such a hard pomeron is also compatible with pp and
pbar p data, provided one unitarises it at high energy.Comment: 13 pages, 5 figures, plain LaTeX, references added and typos remove
An explicit model realizing parton-hadron duality and fitting the data is suggested. Complex nonlinear Regge trajectories are important ingredients of the model. The inclusion of ∆ and N * trajectories should account for all resonances in the direct channel. The exotic trajectory is responsible for the smooth background.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.