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Wigner Distributions in Light-Front Quark Models
Authors:B. Pasquini  C. Lorcé
Affiliation:1. Dipartimento di Fisica, Università degli Studi di Pavia, Pavia, Italy
2. Sezione di Pavia, INFN, 27100, Pavia, Italy
3. CNRS/IN2P3, IPNO, Université Paris-Sud, 91406, Orsay, France
4. IFPA, AGO Department, Université de Liège, Sart-Tilman, 4000, Liège, Belgium
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.
Keywords:
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