Electromagnetic excitation of the Delta(1232)-resonance

Abstract

We review the description of the lowest-energy nucleon excitation -- the $\Delta$(1232)-resonance. Much of the recent experimental effort has been focused on the precision measurements of the nucleon-to-$\Delta$ transition by means of electromagnetic probes. We confront the results of these measuremnts with the state-of-the-art calculations based on chiral effective-field theories (EFT), lattice QCD, large-$N_c$ relations, perturbative QCD, and QCD-inspired models. We also discuss the link of the nucleon-to-$\Delta$ form factors to generalized parton distributions (GPDs). Some of the theoretical approaches are reviewed in detail, in particular, recent dynamical and unitary-isobar models of pion electroproduction, which are extensively used in the interpretation of experiments. Also, the novel extension of chiral EFTs to the energy domain of the $\Delta$-resonance is described in detail. The two-photon exchange effects in the electroexcitation of the $\De$-resonance are addressed here as well.

150 pp, 67 figs; final version - to appear in Physics Reports

References in corpus (4)

• Light baryon magnetic moments and N -> Delta gamma transition in a Lorentz covariant chiral quark approach
• Chiral Extrapolations and the Covariant Small Scale Expansion
• Effective Lagrangian Approach to pion photoproduction from the nucleon
• Baryon masses, chiral extrapolations, and all that

Cited by in corpus (34)

• Nucleon Electromagnetic Form Factors
• Empirical transverse charge densities in the nucleon and the nucleon-to-$\Delta$ transition
• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• D-state effects in the electromagnetic N-Delta transition
• A Covariant model for the nucleon and the $\Delta$
• A relativistic quark model for the Omega- electromagnetic form factors
• Empirical transverse charge densities in the nucleon-to-P11(1440) transition
• Chiral effective-field theory in the Delta(1232) region: II. radiative pion photoproduction
• Hadron structure at low Q^2
• Nucleon resonances in πN scattering up to energies \sqrt(s) < 2.0 GeV
• Large-$N_c$ relations for the electromagnetic N to Delta(1232) transition
• Electromagnetic properties of the Delta(1232) and decuplet baryons in the self-consistent SU(3) chiral quark-soliton model
• Magnetic Dipole, Electric Quadrupole and Magnetic Octupole Moments of the $\Delta$ Baryons in Light Cone QCD Sum Rules
• Nucleon-to-Delta axial transition form factors in relativistic baryon chiral perturbation theory
• The physical meaning of scattering matrix singularities in coupled-channel formalisms
• On-shell consistency of the Rarita-Schwinger field formulation
• Neutral Pion Electroproduction in the Resonance Region at High $Q^2$
• Electromagnetic form factors of the Delta in a S-wave approach
• Electromagnetic Nucleon-to-Delta Transition in Holographic QCD
• Chiral Corrections and the Axial Charge of the Delta
• On the definition of the Δmass and width
• Virtual Compton Scattering measurements in the ${\gamma }^{\ast }N\to \Delta$ transition
• Compton scattering off elementary spin 3/2 particles
• Light-cone sum rules for the $N\gamma \Delta$ transitions for real photons
• The Delta(1232) Resonance in Chiral Effective Field Theory
• Magnetic interaction induced by the anomaly in kaon-photoproductions
• Manifestly-covariant chiral PT calculation of nucleon Compton scattering
• Q^2-evolution of nucleon-to-resonance transition form factors in a QCD-inspired vector-meson-dominance model
• Electromagnetic form factors of the Delta(1232) in Dual-Large N_c QCD
• The lifetime of unstable particles in electromagnetic fields
• Overview of nucleon structure studies
• Chiral perturbation theory study of the axial $N\to \Delta (1232)$ transition
• Relativistically invariant analysis of $\Delta$--isobar production in deuteron electrodisintegration: $e^{-}+d\to e^{-}+\Delta +N:$ general analysis of polarization effects
• Predictions of chiral perturbation theory for Compton scattering off protons