Hadron tomography through Wigner distributions

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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6 pages, 1 figure, 1 table, Prepared for the Third International Workshop on Transverse Polarization Phenomena in Hard Scatter

Scientific paper

We study the Wigner functions of the nucleon which provide multidimensional images of the quark distributions in phase space and combine in a single picture all the information contained in the generalized parton distributions (GPDs) and the transverse-momentum dependent parton distributions (TMDs). In particular, we present results for the distribution of unpolarized quarks in a longitudinally polarized nucleon obtained in a light-cone constituent quark model. Treating the Wigner distribution as it was a classical distribution, we obtain the quark orbital angular momentum and compare it with alternative definitions given in terms of the GPDs and the TMDs.

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