Spin and angular momentum in the nucleon

Abstract

Using the covariant spectator theory (CST), we present the results of a valence quark-diquark model calculation of the nucleon structure function f(x) measured in unpolarized deep inelastic scattering (DIS), and the structure functions g1(x) and g2(x) measured in DIS using polarized beams and targets. Parameters of the wave functions are adjusted to fit all the data. The fit fixes both the shape of the wave functions and the relative strength of each component. Two solutions are found that fit f(x) and g1(x), but only one of these gives a good description of g2(x). This fit requires the nucleon CST wave functions contain a large D-wave component (about 35%) and a small P-wave component (about 0.6%). The significance of these results is discussed.

27 pages; 13 figures

References in corpus (12)

• Quark-model study of few-baryon systems
• Spin Structure of the Nucleon - Status and Recent Results
• A pure S-wave covariant model for the nucleon
• Transversity quark distributions in a covariant quark-diquark model
• D-state effects in the electromagnetic N-Delta transition
• A Covariant model for the nucleon and the $\Delta$
• A covariant model for the gamma N -> N(1535) transition at high momentum transfer
• Octet baryon electromagnetic form factors in a relativistic quark model
• Covariant nucleon wave function with S, D, and P-state components
• Fixed-axis polarization states: covariance and comparisons
• Electromagnetic form factors of the Delta in a S-wave approach
• Moments of Spin Structure Functions: Sum Rules and Polarizabilities

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• ${\gamma }^{\ast }N\to N^{\ast }(1520)$ form factors in the timelike regime
• Semirelativistic approximation to the ${\gamma }^{\ast }N\to N(1520)$ and ${\gamma }^{\ast }N\to N(1535)$ transition form factors
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• Calculating Dihadron Fragmentation Functions in the NJL-jet model
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• Octet baryon electromagnetic form factor double ratios $(G_E^{\ast }/G_M^{\ast })/(G_E/G_M)$ in a nuclear medium
• A Euclidean bridge to the relativistic constituent quark model
• Dihadron Fragmentation Functions from the NJL-jet model and their QCD Evolution
• Meson cloud contributions to the Dalitz decays of decuplet to octet baryons
• Electroweak form factors of baryons in dense nuclear matter
• The weak bound state with the non-zero charge density as the LHC 126.5 GeV state
• Redshift in a six-dimensional classical Kaluza-Klein type model
• A covariant model for the negative parity resonances of the nucleon
• A Relativistic Model for the Electromagnetic Structure of Baryons from the 3rd Resonance Region