Three Dimensional Imaging of the Nucleon

Abstract

We study the Wigner distributions of quarks and gluons in light-front dressed quark model using the overlap of light front wave functions (LFWFs). We take the target to be a dressed quark, this is a composite spin $-1/2$ state of quark dressed with a gluon. This state allows us to calculate the quark and gluon Wigner distributions analytically in terms of LFWFs using Hamiltonian perturbation theory. We analyze numerically the Wigner distributions of quark and gluon and report their nature in the contour plots. We use an improved numerical technique to remove the cutoff dependence of the Fourier transformed integral over ${\mathbf{\Delta }}_{\perp }$.

arXiv comment7 pages, 2 figures, Prepared for Proceedings of Light Cone 2017, 18-22 Sept, University of Mumbai, India. To appear in FBS

References in corpus (13)

• Generalized parton correlation functions for a spin-1/2 hadron
• Quark Wigner Distributions and Orbital Angular Momentum
• Probing the Small-$x$ Gluon Tomography in Correlated Hard Diffractive Dijet Production in DIS
• Structure analysis of the generalized correlator of quark and gluon for a spin-1/2 target
• Gluon orbital angular momentum at small-$x$
• Generalized TMDs and the exclusive double Drell-Yan process
• Quark Wigner Distributions and Orbital Angular Momentum in Light-front Dressed Quark Model
• The elliptic gluon GTMD inside a large nucleus
• Wigner, Husimi and GTMD distributions in the Color Glass Condensate
• Wigner Distributions for Gluons in Light-front Dressed Quark Model
• Deep Inelastic Structure Functions in Light-Front QCD: Radiative Corrections
• Quark Wigner Distributions Using Light-Front Wave Functions
• Nonperturbative Description of Deep Inelastic Structure Functions in Light-Front QCD