A quark model analysis of the Sivers function

Abstract

We develop a formalism to evaluate the Sivers function. The approach is well suited for calculations which use constituent quark models to describe the structure of the nucleon. A non-relativistic reduction of the scheme is performed and applied to the Isgur-Karl model of hadron structure. The results obtained are consistent with a sizable Sivers effect and the signs for the u and d flavor contributions turn out to be opposite. This pattern is in agreement with the one found analyzing, in the same model, the impact parameter dependent generalized parton distributions. The Burkardt Sum Rule turns out to be fulfilled to a large extent. We estimate the QCD evolution of our results from the momentum scale of the model to the experimental one and obtain reasonable agreement with the available data.

31 pages, 4 figures. Extended version, discussion of the Burkardt Sum Rule added, references added, minor changes in the numerical results, same interpretation. Final version accepted for publication in Phys. Rev. D

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• The QCD Evolution of the Sivers Function
• The transverse momentum dependent distribution functions in the bag model
• Constraining quark angular momentum through semi-inclusive measurements
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• Sivers and Boer-Mulders functions in Light-Cone Quark Models
• Transverse momentum dependent distribution functions in a covariant parton model approach with quark orbital motion
• Double parton correlations in constituent quark models
• On the Origin of Model Relations among Transverse-Momentum Dependent Parton Distributions
• Extraction of the Sivers function from SIDIS, Drell-Yan, and $W^{\pm }/Z$ boson production data with TMD evolution
• Energy momentum tensor and the D-term in the bag model
• Naive time-reversal odd phenomena in semi-inclusive deep-inelastic scattering from light-cone constituent quark models
• N${}^3$LO extraction of the Sivers function from SIDIS, Drell-Yan, and $W^{\pm }/Z$ data
• Model calculations of the Sivers function satisfying the Burkardt Sum Rule
• Modelling the nucleon structure
• Transverse Momentum Dependent Parton Distribution/Fragmentation Functions at an Electron-Ion Collider
• Analyzing the Boer-Mulders function within different quark models
• Transverse momentum distributions of quarks in the nucleon from the Chiral Quark Soliton Model
• Gluon Sivers function in a light-cone spectator model
• Structure of the nucleon at leading and subleading twist in the covariant parton model
• On a possible node in the Sivers and Qiu-Sterman functions
• Sivers and $\cos 2\varphi$ Asymmetries in Semi-inclusive Deep Inelastic Scattering in Light-front Holographic Model
• Sub-leading twist transverse momentum dependent parton distributions in the light-front quark-diquark model
• Twist-4 T-even proton TMDs in the light-front quark-diquark model
• Non-perturbative momentum dependence of the coupling constant and hadronic models
• A note on the scale dependence of the Burkardt sum rule
• Sivers function of sea quarks in the light-cone model
• Single Spin Asymmetries in High Energy Reactions and Nonperturbative QCD Effects
• Unraveling sub-leading twist GTMDs of proton using LFQDM
• Quantized form factor shift in the presence of free electron laser radiation
• Nuclear dependences of azimuthal asymmetries in the Drell-Yan process
• Single Transverse Spin Asymmetries in Semi-inclusive Deep Inelastic Scattering in a Spin-1 Diquark Model
• Analytical evaluation of atomic form factors: application to Rayleigh scattering
• On the Role of the Running Coupling Constant in a Quark Model Analysis of T-odd TMDs
• Double Spin Asymmetries through QCD Instantons
• Left-right asymmetry for pion and kaon production in the semi-inclusive deep inelastic scattering process
• Aspects of TMD evolution of azimuthal asymmetries
• Double parton distributions in Light-Front constituent quark models
• The quark quasi Sivers function and quasi Boer-Mulders function in a spectator diquark model
• Extraction of finite-energy contributions to the Sivers asymmetry from the analysis of exclusive proton-proton scattering
• Generalized Parton Distributions of Pions. Spin Structure of Hadrons
• Single-spin asymmetries in SIDIS induced by anomalous gluon-quark and photon-quark couplings
• Double parton correlations in Light-Front constituent quark model
• Transversity studies with protons and light nuclei
• Transverse-Momentum Distributions and Spherical Symmetry