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 (12)

• Chiral Effective-Field Theory in the Delta(1232) Region: Pion Electroproduction on the Nucleon
• Light baryon magnetic moments and N -> Delta gamma transition in a Lorentz covariant chiral quark approach
• Lowest Q^2 Measurement of the gamma*p -> Delta Reaction: Probing the Pionic Contribution
• Chiral Extrapolations and the Covariant Small Scale Expansion
• Effective Lagrangian Approach to pion photoproduction from the nucleon
• Spin 3/2 Beyond the Rarita-Schwinger Framework
• Baryon masses, chiral extrapolations, and all that
• Consistency of the $\pi \Delta$ interaction in chiral perturbation theory
• Electromagnetic form factors in the Hypercentral Constituent Quark Model
• Magnetic dipole moment of the $\Delta (1232)$ in chiral perturbation theory
• Interplay of the Chiral and Large N_c Limits in pi N Scattering
• Channel coupling effects in $\rho$-meson photoproduction

Cited by in corpus (114)

• Baryons as relativistic three-quark bound states
• Nucleon Electromagnetic Form Factors
• Using effective field theory to analyse low-energy Compton scattering data from protons and light nuclei
• Empirical transverse charge densities in the nucleon and the nucleon-to-$\Delta$ transition
• Theoretical Constraints and Systematic Effects in the Determination of the Proton Form Factors
• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
• Analyses of pion-nucleon elastic scattering amplitudes up to $O(p^4)$ in extended-on-mass-shell subtraction scheme
• Promises and challenges of high-energy vortex states collisions
• The lowest-lying baryon masses in covariant SU(3)-flavor chiral perturbation theory
• N-Delta(1232) axial form factors from weak pion production
• Octet-baryon axial-vector charges and SU(3)-breaking effects in the semileptonic hyperon decays
• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• D-state effects in the electromagnetic N-Delta transition
• A relativistic quark model for the Omega- electromagnetic form factors
• A Covariant model for the nucleon and the $\Delta$
• Magnetic dipole moments of the hidden-charm pentaquark states: $P_c(4440)$, $P_c(4457)$ and $P_{cs}(4459)$
• Delta and Omega electromagnetic form factors in a Dyson-Schwinger/Bethe-Salpeter approach
• Empirical transverse charge densities in the nucleon-to-P11(1440) transition
• Gold-plated moments of nucleon structure functions in baryon chiral perturbation theory
• Timelike gamma* N -> Delta form factors and Delta Dalitz decay
• Strong QCD Insights from Excited Nucleon Structure Studies with CLAS and CLAS12
• Chiral effective-field theory in the Delta(1232) region: II. radiative pion photoproduction
• Hadron structure at low Q^2
• Investigation of magnetic moment of $P_{cs}(4338)$ and $P_{cs}(4459)$ pentaquark states
• Nucleon resonances in πN scattering up to energies \sqrt(s) < 2.0 GeV
• Jülich-Bonn-Washington Model for Pion Electroproduction Multipoles
• Large-$N_c$ relations for the electromagnetic N to Delta(1232) transition
• πN scattering in relativistic baryon chiral perturbation theory revisited
• Electromagnetic properties of the Delta(1232) and decuplet baryons in the self-consistent SU(3) chiral quark-soliton model
• Electromagnetic Transition Form Factors of Baryon Resonances
• P-wave nucleon-pion scattering amplitude in the $\Delta (1232)$ channel from lattice QCD
• Singularity structure of the pi N scattering amplitude in a meson-exchange model up to energies W < 2.0 GeV
• 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
• Electric Quadrupole and Magnetic Octupole Moments of the Light Decuplet Baryons Within Light Cone QCD Sum Rules
• Electromagnetic properties of doubly heavy pentaquark states
• Baryonic models of ultra-low-mass compact stars for the central compact object in HESS J1731-347
• The shape of the $\Delta$ baryon in a covariant spectator quark model
• CP-violating decays of the pseudoscalars eta and eta' and their connection to the electric dipole moment of the neutron
• Beam normal spin asymmetry for the $ep\to e\Delta (1232)$ process
• Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking
• Generalized polarizabilities of the nucleon in baryon chiral perturbation theory
• Chiral Corrections and the Axial Charge of the Delta
• Heavy-particle formalism with Foldy-Wouthuysen representation
• The electromagnetic form factors of the transition from the spin-3/2 Sigma to the Lambda hyperon
• The width of the $\Delta$-resonance at two loop order in baryon chiral perturbation theory
• On the definition of the Δmass and width
• Virtual Compton Scattering measurements in the ${\gamma }^{\ast }N\to \Delta$ transition
• Delta baryon photoproduction with twisted photons
• Electromagnetic form factors of the ${\Omega }^{-}$ baryon in the spacelike and timelike regions
• Systematic study of octet-baryon electromagnetic form factors in covariant chiral perturbation theory
• Light-cone QCD sum rule approach for the $\Xi$ baryon electromagnetic form factors and the semileptonic decay Xi_c->Xi e^+nu_e
• Compton scattering off elementary spin 3/2 particles
• Forward doubly-virtual Compton scattering off the nucleon in chiral perturbation theory: the subtraction function and moments of unpolarized structure functions
• Spectral functions of nucleon form factors: Three-pion continua at low energies
• The Delta(1232) Resonance in Chiral Effective Field Theory
• Light-cone sum rules for the $N\gamma \Delta$ transitions for real photons
• Strong interaction of doubly heavy spin-3/2 baryons with light vector mesons
• Local spatial densities for composite spin-3/2 systems
• The reaction $\pi N\to \omega N$ in a dynamical coupled-channel approach
• Magnetic moments of the spin-$\frac{3}{2}$ doubly charmed baryons in covariant baryon chiral perturbation theory
• Pion axioproduction: The Delta resonance contribution
• Magnetic interaction induced by the anomaly in kaon-photoproductions
• Manifestly-covariant chiral PT calculation of nucleon Compton scattering
• Two-current transition amplitudes with two-body final states
• Chiral Lagrangians with $\Delta (1232)$ to one loop
• Exploring Baryon Resonances with Transition Generalized Parton Distributions: Status and Perspectives
• Two-Photon-Exchange Effects and $\Delta (1232)$ Deformation
• Photo-absorption on deuteron contributed by d^*(2380) resonance
• Q^2-evolution of nucleon-to-resonance transition form factors in a QCD-inspired vector-meson-dominance model
• Electromagnetic multipole moments of baryons
• The electromagnetic Sigma-to-Lambda transition form factors with coupled-channel effects in the space-like region
• Hadronic weak charges and parity-violating forward Compton scattering
• Two-dimensional charge distributions of the $\Delta$ baryon: Interpolation between the nonrelativistic and ultrarelativistic limit
• Fundamental properties of resonances
• Electromagnetic baryon form factors in the Poincare-covariant Faddeev approach
• Low-energy axial-vector transitions from decuplet to octet baryons
• Magnetic field in relativistic heavy ion collisions: testing the classical approximation
• Weak interaction axial form factors of the octet baryons in nuclear medium
• Leading-order QED radiative corrections to timelike Compton scattering on the proton
• Meson cloud contributions to the Dalitz decays of decuplet to octet baryons
• Baryon polarization in low-energy unpolarized meson-baryon scattering
• Dispersive analysis of low energy ${\gamma }^{\ast }N\to \pi N$ process
• Electroweak form factors of baryons in dense nuclear matter
• Electromagnetic form factors of the Delta(1232) in Dual-Large N_c QCD
• Analysis of the vertexes ${\Omega }_Q^{\ast }{\Omega }_Q^{\ast }\varphi$, ${\Omega }_Q^{\ast }{\Xi }_Q^{\ast }{K}^{\ast }$, ${\Xi }_Q^{\ast }{\Sigma }_Q^{\ast }{K}^{\ast }$ and ${\Sigma }_Q^{\ast }{\Sigma }_Q^{\ast }\rho$ with the light-cone QCD sum rules
• New chiral structures for baryon number violating nucleon decays
• Gauge- and point-invariant vertices of nucleon-to-resonance interactions
• Complete definition of $N\to \Delta$ transition generalized parton distributions
• The lifetime of unstable particles in electromagnetic fields
• Method for measuring the charge radii of charged hyperons from the time-like region
• Quartet of spin-3/2 baryons in chiral multiplet $(1,1/2)\oplus (1/2,1)$ with mirror assignment
• Contributions to the nucleon form factors from bubble and tadpole diagrams
• Ernest Henley and the shape of baryons
• Symmetries of higher-spin fields and the electromagnetic N-N(1680) form factors
• Soft-photon radiative corrections to the $e^{-}p\to e^{-}p{l}^{-}{l}^{+}$ process
• Overview of nucleon structure studies
• The reactions $\pi \pi \to \pi \pi$ and $\gamma \gamma \to \pi \pi$ in $\chi$PT with an isosinglet scalar resonance
• Signatures of the $\Delta$ isobar in spin observables of ${}^3\mathrm{He}$ electrodisintegration
• Resonance Contributions to Radiative Corrections in Charged-Current Elastic (Anti)Neutrino-Nucleon Scattering at GeV Energies
• Electromagnetic polarizabilities of the spin-$\frac{3}{2}$ baryons in heavy baryon chiral perturbation theory
• Spinor Representations for Fields with any Spin: Lorentz Tensor Basis for Operators and Covariant Multipole Decomposition
• Nuclear coherent ${\pi }^0$ photoproduction with charge-exchange and spin-flip rescattering
• Chiral perturbation theory study of the axial $N\to \Delta (1232)$ transition
• Chiral Dynamics and Dubna-Mainz-Taipei Dynamical Model for Pion-Photoproduction Reaction
• Predictions of chiral perturbation theory for Compton scattering off protons
• Electromagnetic transition form factors and Dalitz decays of hyperons
• Charting doubly strange hidden-charm pentaquarks: An electromagnetic mapping of spin-$\frac{1}{2}$ and $\frac{3}{2}$ states
• Relativistically invariant analysis of $\Delta$--isobar production in deuteron electrodisintegration: $e^{-}+d\to e^{-}+\Delta +N:$ general analysis of polarization effects