Quark Wigner distributions in a light-cone spectator model

Abstract

We investigate the quark Wigner distributions in a light-cone spectator model. The Wigner distribution, as a quasi-distribution function, provides the most general one-parton information in a hadron. Combining the polarization configurations, unpolarized, longitudinal polarized or transversal polarized, of the quark and the proton, we can define 16 independent Wigner distributions at leading twist. We calculate all these Wigner distributions for the $u$ quark and the $d$ quark respectively. In our calculation, both the scalar and the axial-vector spectators are included, and the Melosh-Wigner rotation effects for both the quark and the axial-vector spectator are taken into account. The results provide us a very rich picture of the quark structure in the proton.

28 pages, 11 figures, version accepted for publication in PRD

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• Leading twist GTMDs at nonzero skewness and Wigner distributions in boost-invariant longitudinal position space
• Impact of JLab data on the determination of GPDs at zero skewness and new insights from transition form factors $N\to \Delta$
• Six-dimensional light-front Wigner distribution of hadrons
• Mapping the internal structure of hadrons through color and spin effects
• Wigner distributions of quarks for different polarizations
• Leading and higher twist transverse momentum dependent parton distribution functions in the spectator model