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Pion-nucleon scattering in chiral perturbation theory II: Fourth order calculation

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arxiv hep-ph/0002162 v2 pith:GLCYBYRW submitted 2000-02-15 hep-ph nucl-th

classification hep-phnucl-th
keywords orderscatteringchiralfourthperturbationpion-nucleontheorya640
verification ladder T0 review T1 audit T2 compute T3 formal
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We analyse elastic-pion nucleon scattering to fourth order in heavy baryon chiral perturbation theory, extending the third order study published in Nucl. Phys. A640 (1998) 199. We use various partial wave analyses to pin down the low-energy constants from data in the physical region. The S-wave scattering lengths are consistent with recent determinations from pionic hydrogen and deuterium. We find an improved description of the P-waves. We also discuss the pion-nucleon sigma term and problems related to the prediction of the subthreshold parameters.

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  1. Pion-Nucleon Scattering in Baryon Chiral Perturbation Theory combined with the ${ 1/N_c}$ Expansion

    hep-ph 2025-06 conditional novelty 6.0 of 10

    A one-loop chiral-plus-1/Nc effective field theory with the nucleon and Delta in a spin-flavor multiplet is fitted to SAID pion-nucleon scattering data up to 350 MeV.

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