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Constraints on πN threshold parameters and the sigma term from measuring the polarization

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Czechoslovak Journal of Physics B Aims and scope

Abstract

We discuss πN polarizations and cross sections at low energies. Presently two conflicting solutions for the low energy amplitudes exist. The first one is based on low energy scattering data and disagrees with the chiral sigma term while the second one, based on mesic atoms level shifts, is consistent with chiral expectations. We show that the π±p polarization atT R = 51 MeV is able to distinguish these solutions. We also illustrate the sensitivity to the small P waves.

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Contributed paper to the symposium on “Mesons and Light and Nuclei IV”, Bechyně, Czechoslovakia, September 5–10, 1988.

We would like to thank J. Gasser and H. Leutwyler for the stimulating collaboration on which this note is based. G. Höhler, R. Koch and H. M. Staudenmaier from the Karlsruhe group have generously supplied all conceivable information on their analysis.

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Locher, M.P., Sainio, M.E. Constraints on πN threshold parameters and the sigma term from measuring the polarization. Czech J Phys 39, 943–946 (1989). https://doi.org/10.1007/BF01599207

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  • DOI: https://doi.org/10.1007/BF01599207

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