Pion-Nucleon Scattering at Low Energies

Abstract

We study pion-nucleon scattering at tree level with a chiral lagrangian of pions, nucleons, and $\Delta$-isobars using a K-matrix unitarization procedure. Evaluating the scattering amplitude to order $Q^2$, where $Q$ is a generic small momentum scale, we obtain a good fit to the experimental phase shifts for pion center-of-mass kinetic energies up to $50$MeV. The fit can be extended to 150 MeV when we include the order-$Q^3$ contributions. Our results are independent of the off-shell $\Delta$ parameter.

13 pages, RevTex, Two tables and two figures, Minor changes, To appear in PRC

References in corpus (2)

• A Chiral Effective Lagrangian for Nuclei
• Redundance of $\Delta$-isobar Parameters in Effective Field Theories

Cited by in corpus (17)

• Pion-nucleon scattering in chiral perturbation theory I: Isospin-symmetric case
• Pion--Nucleon Scattering in a New Approach to Chiral Perturbation Theory
• Improving the convergence of the chiral expansion for nuclear forces I: Peripheral phases
• Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass
• Redundancy of the off-shell parameters in chiral effective field theory with explicit spin-3/2 degrees of freedom
• Neutrinoproduction of Photons and Pions From Nucleons in a Chiral Effective Field Theory for Nuclei
• Low Energy Pion--Nucleon Scattering in the Heavy Baryon and Infrared Schemes
• On-shell consistency of the Rarita-Schwinger field formulation
• Role of the Delta(1232) in pion-deuteron scattering at threshold within chiral effective field theory
• The mass of the Delta resonance in a finite volume: fourth-order calculation
• A New Approach to Chiral Perturbation Theory for Matter Fields
• Low Energy Pion-Hyperon Interaction
• Antihyperon polarization in high-energy inclusive reactions
• The resultant parameters of effective theory
• $\pi \Xi$ phase shifts and CP Violation in $\Omega \to \pi \Xi$ Decay
• Electromagnetic Interactions in a Chiral Effective Lagrangian for Nuclei
• Dynamical origin of neutrino masses and dark matter from a new confining sector