$\pi N$ Scattering in the $\Delta (1232)$ Region in an Effective Field Theory

Abstract

We develop a generalized version of heavy-baryon chiral perturbation theory to describe pion-nucleon scattering in a kinematic domain that extends continuously from threshold to the delta-isobar peak. The $P$-wave phase shifts are used to illustrate this framework. We also compare our approach with those in the literature that concern the delta resonance.

46 pages, 17 figures, version to appear in Nucl. Phys. A

References in corpus (9)

• Extended Partial-Wave Analysis of piN Scattering Data
• Electromagnetic excitation of the Delta(1232)-resonance
• Chiral Perturbation Theory and Baryon Properties
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Chiral Effective-Field Theory in the Delta(1232) Region: Pion Electroproduction on the Nucleon
• Chiral effective-field theory in the Delta(1232) region: II. radiative pion photoproduction
• Phase-shift analysis of low-energy ${\pi }^{\pm }p$ elastic-scattering data
• On the definition of the Δmass and width
• The Delta(1232) Resonance in Chiral Effective Field Theory

Cited by in corpus (27)

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• $P$-wave $\pi \pi$ scattering and the $\rho$ resonance from lattice QCD
• Short-range nuclear forces in singlet channels
• Compton scattering from the proton in an effective field theory with explicit Delta degrees of freedom
• The nucleon and Delta(1232) form factors at low momentum-transfer and small pion masses
• On the convergence of the chiral expansion for the baryon ground-state masses
• Jülich-Bonn-Washington Model for Pion Electroproduction Multipoles
• πN scattering in relativistic baryon chiral perturbation theory revisited
• Resonance Contribution to Radiative Neutron Capture on Lithium-7
• P-wave nucleon-pion scattering amplitude in the $\Delta (1232)$ channel from lattice QCD
• Heavy-particle formalism with Foldy-Wouthuysen representation
• On the axial-vector form factor of the nucleon and chiral symmetry
• Nuclear Effective Field Theories: Reverberations of the early days
• The Role of the Roper in Chiral Perturbation Theory
• The magnetic moments and electromagnetic form factors of the decuplet baryons in chiral perturbation theory
• The reaction pi N -> pi pi N in chiral effective field theory with explicit Delta(1232) degrees of freedom
• Nonrelativistic Effective Field Theory with a Resonance Field
• Axial-vector form factors of the baryon octet and chiral symmetry
• A dispersion relation for the pion-mass dependence of hadron properties
• Chiral dynamics of S-wave baryon resonances
• Weinberg and few-nucleon forces
• Chiral effective-field theory with a resonance and heavy fields
• Trapped two-nucleon system in energy-dependent effective field theory
• Enhancement of deltaful two-pion exchange nuclear forces