Abstract
We discuss different kinds of parton distributions, which allow one to obtain a multidimensional picture of the internal structure of the nucleon. We use the concept of generalized transverse momentum dependent parton distributions and Wigner distributions, which combine the features of transverse-momentum dependent parton distributions and generalized parton distributions. We show examples of these functions within a phenomenological quark model, with focus on the role of the spin-spin and spin-orbit correlations of quarks.
Highlights
During the past two decades, a lot of attention has been paid to generalized parton distributions (GPDs)
Even though GPDs and transverse-momentum dependent parton distributions (TMDs) already are quite general entities, the maximum possible information about the parton structure of strongly interacting systems is encoded in GT
GTMDs can reduce to GPDs and to TMDs in certain kinematical limits, and they are often denoted as mother distributions
Summary
During the past two decades, a lot of attention has been paid to generalized parton distributions (GPDs). GTMDs can reduce to GPDs and to TMDs in certain kinematical limits, and they are often denoted as mother distributions. The Fourier transform of GTMDs can be interpreted as Wigner distributions [16,17,18], the quantum-mechanical analogue of classical phase-space distributions. A classification of GTMDs for quarks (through twist-4) for a spin-0 target was given in. 2, we revisit the definition of the Wigner distributions obtained by Fourier transform of the GTMDs to the impact-parameter space. We identify all the possible correlations between target polarization, quark polarization and quark orbital angular momentum (OAM) encoded in these phase-space distributions, and we show results for a few selected examples.
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