Eur. Phys. J. A (2020) 56: 172
https://doi.org/10.1140/epja/s10050-020-00179-9

Regular Article - Theoretical Physics

Quark Wigner distributions and GTMDs of Pion in the light-front holographic model

Department of Physics, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, 144011, India

^* e-mail: dahiyah@nitj.ac.in

Received: 23 November 2019
Accepted: 8 June 2020
Published online: 29 June 2020

Abstract

We investigate the skewness dependent quark Wigner distributions of the pion to reveal the multidimensional picture of pion. We have used the spin improved wave functions of pion deduced from the light-front holographic model of mesons. By using the Fock-state overlap representation, the skewness dependent Wigner distributions of an unpolarized, longitudinally polarized and transversely polarized quark inside the pion are calculated. We have compared the skewness dependent Wigner distributions of pion with Wigner distributions of pion with zero skewness in the impact-parameter space. For more detailed picture, we have presented the results of transverse Wigner distributions in impact-parameter space as well as in momentum space with zero skewness. We also study the six-dimensional phase-space distribution: the generalized transverse momentum dependent parton distributions of pion for the case of zero skewness as well as for nonzero value of skewness. To compare with the future experimental data, we also perform the evoluted generalized transverse momentum dependent parton distribution.