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Effective range parameter ins-wave pion nucleon scattering

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Zeitschrift für Physik

Abstract

The effective range parameterb for πN s-wave scattering is calculated from fixed-t dispersion relations, using experimental information for the imaginary parts. The result is compared with that of other calculations, based on Ward identities and phenomenological Lagrangians. It is pointed out that a direct determination ofb from experimental data is not possible. Since the Δ-propagator is not unique, the Δ-exchange amplitudes are given for a one-parameter class of propagators (Appendix).

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Supported by Bundesministerium für Bildung und Wissenschaft.

One of us (P.A.) would like to thank DAAD for hospitality at the Karlsruhe University. We are grateful to Dr. R. Strauss for supplying us with the information for Fig. 2 and with the improved version of Eq. (5.1).

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Achuthan, P., Hite, G.E. & Höhler, G. Effective range parameter ins-wave pion nucleon scattering. Z. Physik 242, 167–178 (1971). https://doi.org/10.1007/BF01394827

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  • DOI: https://doi.org/10.1007/BF01394827

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