Nucleon-Nucleon Optical Potentials \and Fusion of $π$N, KN, $ππ$ and NN Systems

Abstract

Several boson exchange potentials, describing the NN interaction $T_\ell\le 300$ MeV with high quality, are extended in their range of applicability as NN optical models with complex local or separable potentials in r-space or as complex boundary condition models. We determine in this work the separable potential strengths or boundary conditions on the background of the Paris, Nijmegen-I, Nijmegen-II, Reid93, AV18 and inversion potentials. Other hadronic systems, $π$N, KN and $ππ$, are studied with the same token. We use the latest phase shift analyzes SP00, SM00 and FA00 by Arndt {\em et al.} as input and thus extent the mentioned potential models from 300 MeV to 3 GeV . The imaginary parts of the interaction account for loss of flux into direct or resonant production processes. For a study of resonances and absorption the partial waves wave functions with physical boundary conditions are calculated. We display the energy and radial dependences of flux losses and radial probabilities. The results lend quantitative support for the established mental image of intermediate elementary particle formation in the spirit of fusion.