Elastic and transition form factors of the Δ(1232)

Abstract

Predictions obtained with a confining, symmetry-preserving treatment of a vector-vector contact interaction at leading-order in a widely used truncation of QCD's Dyson-Schwinger equations are presented for Δand Ωbaryon elastic form factors and the γN -> Δtransition form factors. This simple framework produces results that are practically indistinguishable from the best otherwise available, an outcome which highlights that the key to describing many features of baryons and unifying them with the properties of mesons is a veracious expression of dynamical chiral symmetry breaking in the hadron bound-state problem. The following specific results are of particular interest. The Δelastic form factors are very sensitive to m_Δ. Hence, given that the parameters which define extant simulations of lattice-regularised QCD produce Δ-resonance masses that are very large, the form factors obtained therewith are a poor guide to properties of the Δ(1232). Considering the Δ-baryon's quadrupole moment, whilst all computations produce a negative value, the conflict between theoretical predictions entails that it is currently impossible to reach a sound conclusion on the nature of the Δ-baryon's deformation in the infinite momentum frame. Results for analogous properties of the Ωbaryon are less contentious. In connection with the N->Δtransition, the Ash-convention magnetic transition form factor falls faster than the neutron's magnetic form factor and nonzero values for the associated quadrupole ratios reveal the impact of quark orbital angular momentum within the nucleon and Δ; and, furthermore, these quadrupole ratios do slowly approach their anticipated asymptotic limits.

30 pages, 10 figures, 5 tables

References in corpus (24)

• Electromagnetic excitation of the Delta(1232)-resonance
• Sketching the Bethe-Salpeter kernel
• Pion electromagnetic form factor at spacelike momenta
• Non-perturbative comparison of QCD effective charges
• Dressed-quark anomalous magnetic moments
• Abelian anomaly and neutral pion production
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Flavor decomposition of the elastic nucleon electromagnetic form factors
• Pion form factor from a contact interaction
• Masses of ground and excited-state hadrons
• Perspective on rainbow-ladder truncation
• Hadronic unquenching effects in the quark propagator
• Extraction and Interpretation of gamma N --> Delta Form Factors within a Dynamical Model
• Nucleon spin structure at very high-x
• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• Quadrupole moments of baryons
• Delta and Omega electromagnetic form factors in a Dyson-Schwinger/Bethe-Salpeter approach
• Insights into the gamma* N -> Delta transition
• Measurements of the gamma*p->Delta Reaction At Low Q^2: Probing the Mesonic Contribution
• Electromagnetic properties of the Delta(1232) and decuplet baryons in the self-consistent SU(3) chiral quark-soliton model
• Polarized structure functions of nucleons and nuclei
• Current quark mass dependence of nucleon magnetic moments and radii
• Form Factors and Dyson-Schwinger Equations
• Electromagnetic form factors of the Delta baryon

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• Explanation and Prediction of Observables using Continuum Strong QCD
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• Symmetry preserving truncations of the gap and Bethe-Salpeter equations
• The quark-gluon vertex in Landau gauge bound-state studies
• Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
• Masses of ground-state mesons and baryons, including those with heavy quarks
• Empirical Consequences of Emergent Mass
• Leading-twist parton distribution amplitudes of S-wave heavy-quarkonia
• Parton distribution amplitudes of light vector mesons
• Nucleon spin structure at very high-x
• Three Lectures on Hadron Physics
• Nucleon tensor charges and electric dipole moments
• Charmed mesons with a symmetry-preserving contact interaction
• Contact-interaction Faddeev equation and, inter alia, proton tensor charges
• Parity partners in the baryon resonance spectrum
• Rôle of the pion electromagnetic form factor in the $\Delta (1232)\to {\gamma }^{\ast }N$ timelike transition
• Electromagnetic Transition Form Factors of Baryon Resonances
• Hadronic Observables from Dyson-Schwinger and Bethe-Salpeter equations
• Transition form factors: ${\gamma }^{\ast }+p\to \Delta (1232)$, $\Delta (1600)$
• Dynamical diquarks in the ${\mathbf{\gamma }}^{(\ast )}\mathbf{p}\to \mathbf{N}(1535){\frac{1}{2}}^{-}$ transition
• Dressed Quark Mass Dependence of Pion and Kaon Form Factors
• Zero mode in a strongly coupled quark gluon plasma
• Electromagnetic Form Factors and Charge Radii of Pseudoscalar and Scalar Mesons: A Comprehensive Contact Interaction Analysis
• N* Structure and Strong QCD
• Quark spin and orbital angular momentum from proton GPDs
• The magnetic moments and electromagnetic form factors of the decuplet baryons in chiral perturbation theory
• A symmetry preserving contact interaction treatment of the kaon
• Impact of DCSB and dynamical diquark correlations on proton GPDs
• Baryon transition form factors at the pole
• Pion scalar, vector and tensor form factors from a contact interaction
• $\Delta$-baryon axialvector and pseudoscalar form factors, and associated PCAC relations
• A contact interaction model for the $\eta$ and ${\eta }^{\prime }$ mesons in a SDE-BSE approach to QCD: masses, decay widths and transition form factors
• Space-like Electromagnetic Form Factors of Lambda- and Sigma-Baryons from Quark-Diquark Faddeev Equations
• Structure of the orbital excited $N^{\ast }$ from the Schwinger-Dyson equations
• ${\gamma }_{\mathbf{v}}\mathbf{N}{\mathbf{N}}^{\ast }$ Electrocouplings in Dyson-Schwinger Equations
• Elastic and Transition Form Factors in DSEs
• Nucleon-to-Resonance Form Factors at Large Photon Virtualities
• Valence-quark structure N* resonances from DSEs
• Flavour decomposition of electromagnetic transition form factors of nucleon resonances