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A partial wave dispersion relation analysis of pion-nucleon scattering amplitudes

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Zeitschrift für Physik C Particles and Fields

Abstract

Partial wave dispersion relations have been evaluated, using various new πN partial wave solutions and our results for the ππN \(\bar N\) amplitudes. The Karlsruhe-Helsinki 80 and CMU-LBL-79 solution forS, P, D, F waves are well compatible with this constraint, which follows from the Mandelstam representation. The VPI 80 solution leads to serious discrepancies in some cases, for instance for the P11 wave.—In both, the KH 80 and CMU-LBL 79, solutions the higher partial waves are not yet satisfactory. They can be improved by adding constraints based on the information on the nearby part of the left hand cuts.—Properties of nucleon resonances are discussed in connection with our results for the “generalized potentials”.

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Authors and Affiliations

  1. Institut für Theoretische Kernphysik, Universität Karlsruhe, D-7500, Karlsruhe, Federal Republic of Germany

    R. Koch & M. Hutt

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  1. R. Koch
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  2. M. Hutt
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Koch, R., Hutt, M. A partial wave dispersion relation analysis of pion-nucleon scattering amplitudes. Z. Phys. C - Particles and Fields 19, 119–128 (1983). https://doi.org/10.1007/BF01571772

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  • DOI: https://doi.org/10.1007/BF01571772

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