Analysis of NN amplitudes up to 2.5 GeV: An optical model and geometric interpretation

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1998

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We analyze the SM97 partial wave amplitudes for nucleon-nucleon [Formula Presented] scattering to 2.5 GeV, in which resonance and meson production effects are evident for energies above the pion production threshold. Our analyses are based upon boson exchange or quantum inversion potentials with which the subthreshold data are fit perfectly. Above 300 MeV they are extrapolations, to which complex short-ranged Gaussian potentials are added to form a complex optical model potential. The data to 2.5 GeV are all well fit. The energy dependences of these Gaussians are very smooth save for precise effects caused by the known Δ and [Formula Presented] resonances. With this optical model approach, we confirm that the geometrical implications of the profile function found from diffraction scattering are pertinent for the geometrical interpretation of the optical model absorption in the regime 300 MeV to 2.5 GeV. The overwhelming part of meson production comes from the QCD sector of the nucleons when they have a separation of their centers of 1 to 1.2 fm. © 1998 The American Physical Society.

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