A pure S-wave covariant model for the nucleon

Abstract

Using the manifestly covariant spectator theory, and modeling the nucleon as a system of three constituent quarks with their own electromagnetic structure, we show that all four nucleon electromagnetic form factors can be very well described by a manifestly covariant nucleon wave function with zero orbital angular momentum. Since the concept of wave function depends on the formalism, the conclusions of light-cone theory requiring nonzero angular momentum components are not inconsistent with our results. We also show that our model gives a qualitatively correct description of deep inelastic scattering, unifying the phenomenology at high and low momentum transfer. Finally we review two different definitions of nuclear shape and show that the nucleon is spherical in this model, regardless of how shape is defined.

20 pages and 10 figures; greatly expanded version with new fits and discussion of DIS; similar to published version

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• Measurement of the Electric Form Factor of the Neutron at Q^2=0.5 and 1.0 (GeV/c)^2
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• Shapes of the Nucleon
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Cited by in corpus (66)

• Baryons as relativistic three-quark bound states
• Recoil Polarization Measurements of the Proton Electromagnetic Form Factor Ratio to Q^2 = 8.5 GeV^2
• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• Final Analysis of Proton Form Factor Ratio Data at ${\mathbf{Q}}^2=4.0$, 4.8 and 5.6 GeV${}^2$
• Light dark matter in neutrino beams: production modelling and scattering signatures at MiniBooNE, T2K and SHiP
• A study of the $P_{11}(1440)$ and $D_{13}(1520)$ resonances from CLAS data on $ep\to e^{\prime }{\pi }^{+}{\pi }^{-}{p}^{\prime }$
• Polarization Transfer Observables in Elastic Electron Proton Scattering at $Q^2=$2.5, 5.2, 6.8, and 8.5 GeV${}^2$
• On the Origin of Model Relations among Transverse-Momentum Dependent Parton Distributions
• 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
• Octet baryon electromagnetic form factors in nuclear medium
• Electric quadrupole and magnetic octupole moments of the Delta
• Valence quark contributions for the gamma N -> P11(1440) form factors
• Valence quark contribution for the gamma N -> Delta quadrupole transition extracted from lattice QCD
• Electromagnetic form factors of the Delta with D-waves
• A covariant model for the gamma N -> N(1535) transition at high momentum transfer
• Timelike gamma* N -> Delta form factors and Delta Dalitz decay
• Octet baryon electromagnetic form factors in a relativistic quark model
• 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
• Octet to decuplet electromagnetic transition in a relativistic quark model
• Electroproduction of the Roper resonance on the proton: the role of the three-quark core and the molecular N-sigma component
• Rôle of the pion electromagnetic form factor in the $\Delta (1232)\to {\gamma }^{\ast }N$ timelike transition
• Covariant nucleon wave function with S, D, and P-state components
• Hyperon electromagnetic timelike elastic form factors at large $q^2$
• Pion electromagnetic form factor in the Covariant Spectator Theory
• Valence quark and meson cloud contributions for the gamma* Lambda -> Lambda* and gamma* Sigma0 -> Lambda* reactions
• Using baryon octet magnetic moments and masses to fix the pion cloud contribution
• Extracting the Omega- electric quadrupole moment from lattice QCD data
• What is the role of the meson cloud in the ${\Sigma }^{\ast 0}\to \gamma \Lambda$ and ${\Sigma }^{\ast }\to \gamma \Sigma$ decays?
• Fixed-axis polarization states: covariance and comparisons
• A simple relation between the gamma N -> N(1535) helicity amplitudes
• Valence quark and meson cloud contributions to the ${\gamma }^{\ast }N\to N^{\ast }(1520)$ form factors
• $\Delta$(1232) Dalitz decay in proton-proton collisions at T=1.25 GeV measured with HADES
• Axial form factors of the octet baryons in a covariant quark model
• Electromagnetic form factors of the Delta in a S-wave approach
• ${\gamma }^{\ast }N\to N^{\ast }(1520)$ form factors in the timelike regime
• Covariant spectator quark model description of the ${\gamma }^{\ast }\Lambda \to {\Sigma }^0$ transition
• Spin and angular momentum in the nucleon
• The shape of the $\Delta$ baryon in a covariant spectator quark model
• Using the Single Quark Transition Model to predict nucleon resonance amplitudes
• ${\gamma }^{\ast }N\to N(1710)$ transition at high momentum transfer
• Semirelativistic approximation to the ${\gamma }^{\ast }N\to N(1520)$ and ${\gamma }^{\ast }N\to N(1535)$ transition form factors
• Valence quark contributions for the ${\gamma }^{\ast }N\to N(1440)$ form factors from Light-Front holography
• Parametrizations of the ${\gamma }^{\ast }N\to \Delta (1232)$ quadrupole form factors and Siegert's theorem
• $N^{\ast }$ Form Factors based on a Covariant Quark Model
• Electromagnetic form factors of the ${\Omega }^{-}$ baryon in the spacelike and timelike regions
• Covariant model for the Dalitz decay of the $N(1535)$ resonance
• Generalized parton distributions in spin-3/2 particles
• New low-$Q^2$ measurements of the ${\gamma }^{\ast }N\to \Delta (1232)$ Coulomb quadrupole form factor, pion cloud parametrizations and Siegert's theorem
• On the form factors of $d^{\ast }(2380)$
• A covariant model for the decuplet to octet Dalitz decays
• Octet baryon electromagnetic form factor double ratios $(G_E^{\ast }/G_M^{\ast })/(G_E/G_M)$ in a nuclear medium
• Holographic estimate of the meson cloud contribution to nucleon axial form factor
• Combined parametrization of the neutron electric form factor and the ${\gamma }^{\ast }N\to \Delta (1232)$ quadrupole form factors
• Weak interaction axial form factors of the octet baryons in nuclear medium
• Meson cloud contributions to the Dalitz decays of decuplet to octet baryons
• RQM description of PS meson form factors, constraints from space-time translations, and underlying dynamics
• Electroweak form factors of baryons in dense nuclear matter
• A covariant investigation of Neutral Vector Mesons: dynamical properties and electromagnetic decay widths
• A covariant model for the ${\gamma }^{\ast }N\to N^{\ast }(1520)$ reaction
• A Relativistic Model for the Electromagnetic Structure of Baryons from the 3rd Resonance Region
• Empirical parametrizations of the resonance amplitudes based on the Siegert's theorem
• A covariant model for the negative parity resonances of the nucleon
• On the physics behind the form factor ratio ${\mu }_p{G}_E^p(Q^2)/G_M^p(Q^2)$