Gluon Wigner distributions in a light-cone spectator model

Abstract We study the gluon Wigner distributions of the proton which are the phase-space distributions containing the most general one-parton information. Using the proton wave functions deduced from a light-cone spectator model that contains the gluonic degree of freedom, we calculate the Wigner distributions of the unpolarized and longitudinally polarized gluon inside the unpolarized/longitudinally polarized proton via the Fock-state overlap representation, respectively. We present the numerical results of the transverse Wigner distributions in which the longitudinal momentum fraction is integrated out. We also provide the gluon orbital angular momentum and spin-orbit correlations deduced from the gluon Wigner distribution.