Quark wigner distribution and gtmd of pion using soft-wall ads/qcd wavefunctions

Abstract

We investigate the quark Wigner distribution of the pion by using the soft-wall AdS/QCD light front wavefunctions with total quark orbital angular momentum $$ L_z =0 $$ and $$ \vert L_z \vert = 1 $$. We calculate the Wigner distribution of an unpolarized quark inside the unpolarized pion. We present the results in impact-parameter space as well as in momentum space. We study the generalized transverse momentum distribution (GTMD) of pion for different values of skewness as well as the case where we take skewness to be zero.