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Finite energy sum rules for π-N backward scattering

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Zeitschrift für Physik

Abstract

Finite energy sum rules for the A and S,π-N scattering amplitudes are saturated in the region −0.4 GeV2< u <0 with a number of s andt channel resonances. It turns out that one needs a rather large π—π s wave contribution, to get agreement with the high energy Regge pole analysis, which explains the dip structure in π+p scattering atu 0=−0.15 GeV2 by a zero in theN α contribution. The coupling of theN α trajectory seems to be much stronger than the coupling of theN γ andΔ δ trajectories.

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Partially supported by the Bundesministerium für Wissenschaftliche Forschung, Bad Godesberg.

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Bartl, A., Widder, F. Finite energy sum rules for π-N backward scattering. Z. Physik 217, 321–335 (1968). https://doi.org/10.1007/BF01391475

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  • DOI: https://doi.org/10.1007/BF01391475

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