English

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

High Energy Physics - Phenomenology 2018-10-03 v1

Abstract

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 wavefunctions deduced from a light-cone quark model, we calculate the Wigner distributions of the unpolarized, longitudinally polarized and transversely polarized 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 byb_y and kxk_x are also presented.As a intermediate step, we provide the analytic results for the generalized transverse momentum dependent distributions of the pion meson in the same model.

Keywords

Cite

@article{arxiv.1808.00140,
  title  = {Quark Wigner distribution of the pion meson in light-cone quark model},
  author = {Zhi-Lei Ma and Zhun Lu},
  journal= {arXiv preprint arXiv:1808.00140},
  year   = {2018}
}

Comments

9 pages, 3 figures