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