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

摘要

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 lightcone 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 mixedWigner distributions as functions of b_y and k_x are also presented. As an intermediate step, we provide the analytic results for the generalized transversemomentum dependent distributions of the pion meson in the same model.