Threshold pion electro- and photoproduction off nucleons in covariant chiral perturbation theory

Abstract

Pion electro- and photoproduction off the nucleon close to threshold is studied in covariant baryon chiral perturbation theory at O($p^3$) in the extended-on-mass-shell scheme, with the explicit inclusion of the $\Delta (1232)$ resonance. The relevant low energy constants are fixed by fitting the available experimental data with the theoretical model. The inclusion of the $\Delta$ resonance as an explicit degree of freedom substantially improves the agreement with data and the convergence of the model.

References in corpus (12)

• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Electromagnetic excitation of the Delta(1232)-resonance
• Chiral Perturbation Theory and Baryon Properties
• Progress and open questions in the physics of neutrino cross sections
• Octet-baryon axial-vector charges and SU(3)-breaking effects in the semileptonic hyperon decays
• Radiative pi0 photoproduction on protons in the Delta+(1232) region
• Separated cross sections in π^0 electroproduction at threshold at Q^2 = 0.05 GeV^2/c^2
• The width of the $\Delta$-resonance at two loop order in baryon chiral perturbation theory
• Neutral-current weak pion production off the nucleon in covariant chiral perturbation theory
• Systematic study of octet-baryon electromagnetic form factors in covariant chiral perturbation theory
• Invariant Amplitudes for Pion Electroproduction
• The Delta(1232) Resonance in Chiral Effective Field Theory

Cited by in corpus (6)

• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Light-quark mass dependence of the nucleon axial charge and pion-nucleon scattering phenomenology
• Radiative Correction to Lepton Proton Scatterings in Manifestly Lorentz-Invariant Chiral Perturbation Theory
• Magnetic field in relativistic heavy ion collisions: testing the classical approximation
• Dispersive analysis of low energy ${\gamma }^{\ast }N\to \pi N$ process
• Radiative pion photoproduction in covariant chiral perturbation theory