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We analyse the SM97 partial wave amplitudes for nucleon--nucleon (NN)scattering to 2.5 GeV, in which resonance and meson production effects areevident for energies above pion production threshold. Our analyses are basedupon boson exchange or quantum inversion potentials with which thesub-threshold data are fit perfectly. Above 300 MeV they are extrapolations, towhich complex short ranged Gaussian potentials are added in the spirit of theoptical models of nuclear physics and of diffraction models of high energyphysics. The data to 2.5 GeV are all well fit. The energy dependences of theseGaussians are very smooth save for precise effects caused by the known $\Delta$and N$^\star$ resonances. With this approach, we confirm that the geometricalimplications of the profile function found from diffraction scattering arepertinent in the regime 300 MeV to 2.5 GeV and that the overwhelming part ofmeson production comes from the QCD sector of the nucleons when they have aseparation of their centres of 1 to 1.2 fm. This analysis shows that theelastic NN scattering data above 300 MeV can be understood with a localpotential operator as well as has the data below 300 MeV.Comment: 49 pages, including 23 figures, LaTeX2e/RevTeX/ps fil

physical review. c. nuclear physics/physical review. c, nuclear physics

Analysis of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>NN</mml:mi></mml:math>amplitudes up to 2.5 GeV: An optical model and geometric interpretation

Analysis ofNNamplitudes up to 2.5 GeV: An optical model and geometric interpretation