Baryon Form Factors of Relativistic Constituent-Quark Models

Abstract

The electromagnetic and axial form factors of the nucleon and its lowest positive parity excitations, the Delta(1232) and the N*(1440), are calculated with constituent-quark models that are specified by simple algebraic representations of the mass-operator eigenstates. Poincaré covariant current operators are generated by the dynamics from single-quark currents that are covariant under a kinematic subgroup. The dependence of the calculated form factors on the choice of kinematics and on the gross features of the wave functions is illustrated for instant-form, point-form, and front-form kinematics. A simple algebraic form of the orbital ground state wave function, which depends on two parameters, allows a fair description of all the form factors over the empirically accessible range, although with widely different choices of the parameters, which determine the range and shape of the orbital wave function. The neutron electric form factor requires additional features, for instance the presence of mixed symmetry S-state component with 1 -- 2 % probability in the ground state wave function. Instant and front form kinematics demand a spatially extended wave function, whereas in point form kinematics the form factors may be described with a quite compact wave function.

41 pages. Eqs. (61), (63), (A4) and (A7) corrected. Figures 7, 12, 13 replaced with corrected versions

References in corpus (3)

• Two-photon exchange and elastic electron-proton scattering
• Implications of the discrepancy between proton form factor measurements
• Scaling of Hadronic Form Factors in Point Form Kinematics

Cited by in corpus (51)

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• Nucleon Electromagnetic Form Factors
• Electroexcitation of nucleon resonances from CLAS data on single pion electroproduction
• Nucleon electromagnetic form factors
• Electroexcitation of nucleon resonances
• Aspects of Hadron Physics
• Survey of nucleon electromagnetic form factors
• A study of the $P_{11}(1440)$ and $D_{13}(1520)$ resonances from CLAS data on $ep\to e^{\prime }{\pi }^{+}{\pi }^{-}{p}^{\prime }$
• Azimuthal spin asymmetries in light-cone constituent quark models
• Dynamical Coupled-Channels Effects on Pion Photoproduction
• A pure S-wave covariant model for the nucleon
• Extraction and Interpretation of gamma N --> Delta Form Factors within a Dynamical Model
• Electroexcitation of the Roper resonance for 1.7 < Q2 < 4.5 GeV2 in ep -> enpi+
• D-state effects in the electromagnetic N-Delta transition
• A Covariant model for the nucleon and the $\Delta$
• Electroexcitation of the Roper resonance in the relativistic quark models
• Baryon Magnetic Moments in Relativistic Quark Models
• Valence quark contributions for the gamma N -> P11(1440) form factors
• Chiral extrapolation of octet-baryon charge radii
• Electroweak structure of the nucleon, meson cloud and light-cone wavefunctions
• The role of $qqqq\bar{q}$ components in the nucleon and the N(1440) resonance
• A model for the Delta(1600) resonance and gamma N -> Delta(1600) transition
• Nucleon and gamma N -> Delta lattice form factors in a constituent quark model
• Electromagnetic nucleon form factors in instant and point form
• Electromagnetic Transition Form Factors of Baryon Resonances
• Covariant nucleon wave function with S, D, and P-state components
• Mini review of Poincaré invariant quantum theory
• Covariant calculation of mesonic baryon decays
• Axial form factors of the octet baryons in a covariant quark model
• Pion electro-production in the Roper region in chiral quark models
• Electroexcitation of nucleon resonances of the [70,1-] multiplet in a light-front relativistic quark model
• Nucleon electromagnetic form factors with non-local chiral effective Lagrangian
• Electromagnetic form factors of pion and rho in the three forms of relativistic kinematics
• Transition form factors and helicity amplitudes for electroexcitation of negative- and positive parity nucleon resonances in a light-front quark model
• Axial Transition Form Factors and Pion Decay of Baryon Resonances
• The small axial charge of the N(1535) resonance
• Strange form factors of nucleon with nonlocal chiral effective Lagrangian
• The Role of 5-quark Components on the Nucleon Form Factors
• D-state configurations in the electromagnetic form factors of the nucleon and the Delta(1232) resonance
• The Roper resonance: a genuine quark state or a dynamically generated structure?
• Form factors in RQM approaches: constraints from space-time translations
• Electroweak properties of the $\pi$, $K$ and $K^{\ast }(892)$ in the three forms of relativistic kinematics
• Pointlike constituent quarks and scattering equivalences
• Representations of relativistic particles of arbitrary spin in Poincaré, Lorentz, and Euclidean covariant formulations of relativistic quantum mechanics
• Probing the parton content of the nucleon
• Weak interaction axial form factors of the octet baryons in nuclear medium
• Towards a Relativistic Description of Exotic Meson Decays
• Nucleon magnetic form factors with non-local chiral effective Lagrangian
• RQM description of PS meson form factors, constraints from space-time translations, and underlying dynamics
• Sea-quark effects in the pion charge form factor
• Nucleon electroweak form factors in a meson-cloud model