Matching pion-nucleon Roy-Steiner equations to chiral perturbation theory

Abstract

We match the results for the subthreshold parameters of pion-nucleon scattering obtained from a solution of Roy-Steiner equations to chiral perturbation theory up to next-to-next-to-next-to-leading order, to extract the pertinent low-energy constants including a comprehensive analysis of systematic uncertainties and correlations. We study the convergence of the chiral series by investigating the chiral expansion of threshold parameters up to the same order and discuss the role of the Δ(1232) resonance in this context. Results for the low-energy constants are also presented in the counting scheme usually applied in chiral nuclear effective field theory, where they serve as crucial input to determine the long-range part of the nucleon-nucleon potential as well as three-nucleon forces.

6 pages, 4 tables; version to appear in PRL

References in corpus (15)

• Chiral effective field theory and nuclear forces
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• Chiral Perturbation Theory and Baryon Properties
• Quantifying truncation errors in effective field theory
• High-precision determination of the pion-nucleon $\sigma$-term from Roy-Steiner equations
• Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• Analyses of pion-nucleon elastic scattering amplitudes up to $O(p^4)$ in extended-on-mass-shell subtraction scheme
• Roy-Steiner equations for pion-nucleon scattering
• Dispersive analysis of the scalar form factor of the nucleon
• Pionic deuterium
• Isospin breaking in the pion-nucleon scattering lengths
• Hadronic shift in pionic hydrogen

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