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The chiral effective pion-nucleon Lagrangian of order p^4

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arxiv hep-ph/0001308 v3 pith:TPQ2QASO submitted 2000-01-29 hep-ph nucl-th

classification hep-phnucl-th
keywords chiraleffectivelagrangianorderfourthpion-nucleontermsbaryon
verification ladder T0 review T1 audit T2 compute T3 formal

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We construct the minimal effective chiral pion-nucleon SU(2) Lagrangian at fourth order in the chiral expansion. The Lagrangian contains 118 in principle measurable terms. We develop both the relativistic as well as the heavy baryon formulation of the effective field theory. For the latter, we also work out explicitly all 1/m corrections at fourth order. We display all relevant relations needed to find the linearly independent terms.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Chiral Effective Field Theories for Strong and Weak Dynamics

    hep-ph 2025-01 conditional novelty 7.0 of 10

    The paper constructs complete and minimal relativistic operator bases for nucleon-nucleon, pion-nucleon-nucleon, and three-nucleon sectors up to p6, and a spurion-based leptonic sector up to p4, using Hilbert series a...

  2. Extraction of the nucleon axial form factor from Lattice QCD using NNLO chiral perturbation theory

    hep-ph 2026-06 unverdicted novelty 6.0 of 10

    NNLO ChPT with explicit Delta fits lattice data to extract g_A = 1.257 ± 0.011 and axial radius squared 0.312 ± 0.037 fm² at the physical point.

  3. Systematic Spurion Matching between Low Energy EFT and Chiral Lagrangian

    hep-ph 2025-01 conditional novelty 6.0 of 10

    A single SU(3)_V spurion can organize both LEFT and chiral Lagrangian operators up to dimension 9, enabling systematic operator-level matching between quark and hadron levels.

  4. Pion photoproduction off nucleons in covariant chiral perturbation theory

    hep-ph 2019-08 conditional novelty 5.0 of 10

    Including the Delta(1232) resonance in a third-order covariant chiral perturbation theory fit reproduces near-threshold pion photoproduction data across all charge channels far better than leaving it out.

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