Wigner Distributions in Light-Front Quark Models

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Abstract

We discuss the quark Wigner distributions which represent the quantum-mechanical analogues of the classical phase-space distributions. These functions can be obtained through a Fourier transform in the transverse space of the generalized transverse momentum dependent parton distributions, which encode the most general one-body information of partons in momentum space. In particular, we present a study within light-front quark models. The quark orbital angular momentum is also obtained from the phase-space average of the orbital angular momentum operator weighted with the Wigner distribution of unpolarized quark in a longitudinally polarized nucleon. The corresponding results calculated within different light-front quark models are compared with alternative definitions of the quark orbital angular momentum as given in terms of generalized parton distributions and transverse momentum dependent parton distributions.

Original languageEnglish
Pages (from-to)287-296
Number of pages10
JournalFew-Body Systems
Volume55
Issue number5-7
DOIs
Publication statusPublished - 1 Jan 2014
Externally publishedYes

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