Quark Wigner distribution of the pion meson in light-cone quark model

We study the quark Wigner distributions of the pion meson which are the phase-space distributions containing the most general one-parton information. Using the pion wave functions deduced from a light-cone quark model, we calculate the Wigner distributions of the unpolarized, longitudinally polarized and transversely polarized valence quarks inside the pion meson 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. The mixed Wigner distributions as functions of by and kx are also presented. As an intermediate step, we provide the analytic results for the generalized transverse-momentum dependent distributions of the pion meson in the same model.