Wigner distributions and quark orbital angular momentum
Cedric Lorce (Orsay, IPN, Orsay, LPT), Barbara Pasquini (Pavia U., and INFN, Pavia)
TL;DR
This paper explores the use of Wigner distributions to analyze quark orbital angular momentum in nucleons, combining various parton distribution functions into a comprehensive phase-space picture.
Contribution
It introduces a method to extract quark orbital angular momentum from Wigner distributions and compares it with other definitions within a light-front constituent quark model.
Findings
Distribution of unpolarized quarks in a polarized nucleon shown.
Quark orbital angular momentum can be derived from Wigner distributions.
Comparison of different definitions of quark orbital angular momentum provided.
Abstract
We discuss the quark phase-space or Wigner distributions of the nucleon which combine in a single picture all the information contained in the generalized parton distributions and the transverse-momentum dependent parton distributions. In particular, we present results for the distribution of unpolarized quarks in a longitudinally polarized nucleon obtained in a light-front constituent quark model. We show how the quark orbital angular momentum can be extracted from the Wigner distributions and compare it with alternative definitions.
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