Wigner distributions and GTMDs in a proton using light-front quark-diquark model

We investigate the Wigner distributions and generalized transverse momentum-dependent distributions (GTMDs) for u and d quarks in the proton by using light-front quark-diquark model. We consider the contribution of scalar and axial-vector diquark having spin-0 and spin-1 respectively. We take different polarization configurations of quark and proton to calculate the Wigner distributions. The Wigner distributions are studied in the impact-parameter space, momentum space and mixed space for u and d quarks in the proton. We also study the relation of GTMDs with longitudinal momentum fraction carried by the active quark x for different values of zeta (skewness) which is defined as the longitudinal momentum transferred to the proton. Further, we study the GTMDs in the relation with x for zero skewness (zeta = 0) at different values of quark transverse momentum p(perpendicular to )as well as at different values of total momentum transferred to the proton Delta(perpendicular to). (C) 2018 The Author(s). Published by Elsevier B.V.