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

References in corpus (10)

• Nucleon Electromagnetic Form Factors
• Global analysis of proton elastic form factor data with two-photon exchange corrections
• A new parameterization of the nucleon elastic form factors
• Nucleon electromagnetic form factors
• Nucleon Form Factors in QCD
• Two-Photon Physics in Hadronic Processes
• Chiral extrapolation of nucleon magnetic form factors
• The Pion Cloud of the Nucleon: Facts and popular Fantasies
• Shapes of the Nucleon
• Subtleties of Lorentz Invariance in Relativistic Constituent Quark Models of the Nucleon and the Spin-Dependent Quark Density

Cited by in corpus (8)

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• A Covariant model for the nucleon and the $\Delta$
• A relativistic quark model for the Omega- electromagnetic form factors
• Electroproduction of the Roper resonance on the proton: the role of the three-quark core and the molecular N-sigma component
• Extracting the Omega- electric quadrupole moment from lattice QCD data
• Fixed-axis polarization states: covariance and comparisons
• Electromagnetic form factors of the Delta in a S-wave approach
• On the physics behind the form factor ratio ${\mu }_p{G}_E^p(Q^2)/G_M^p(Q^2)$