Leading twist GTMDs at nonzero skewness and Wigner distributions in boost-invariant longitudinal position space

Abstract

We investigate the leading twist quark generalized transverse momentum distributions (GTMDs) at nonzero skewness in a light-front quark-diquark model for the nucleon motivated by soft-wall AdS/QCD. The boost-invariant longitudinal coordinate, $\sigma =\frac{1}{2}{b}^{-}{P}^{+}$, is identified as the Fourier conjugate of the skewness. The Fourier transform of the GTMDs with respect to the skewness variable $\xi$ can be employed to provide the Wigner distributions in the boost-invariant longitudinal position space $\sigma$, the coordinate conjugate to light-front time, $\tau =t+z/c$. The Wigner distributions in the longitudinal position space exhibit diffraction patterns, which are analogous to the diffractive scattering of a wave in optics.

19 pages, 10 figures

References in corpus (25)

• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Transverse-momentum distributions in a diquark spectator model
• Generalized parton correlation functions for a spin-1/2 hadron
• Quark Wigner Distributions and Orbital Angular Momentum
• Generalized parton correlation functions for a spin-0 hadron
• Unified framework for generalized and transverse-momentum dependent parton distributions within a 3Q light-cone picture of the nucleon
• Generalized parton distributions and transverse densities in a light-front quark-diquark model for the nucleons
• Accessing the gluon Wigner distribution in ultraperipheral $pA$ collisions
• Quark Wigner Distributions and Orbital Angular Momentum in Light-front Dressed Quark Model
• A light front quark-diquark model for the nucleons
• Hadron Optics in Three-Dimensional Invariant Coordinate Space from Deeply Virtual Compton Scattering
• The elliptic gluon GTMD inside a large nucleus
• Hadron Optics: Diffraction Patterns in Deeply Virtual Compton Scattering
• Wigner Distributions for Gluons in Light-front Dressed Quark Model
• Quark Wigner distributions in a light-cone spectator model
• Nucleon parton distributions in a light-front quark model
• Chiral odd GPDs in transverse and longitudinal impact parameter spaces
• Helicity-dependent generalized parton distributions for nonzero skewness
• Generalized Parton Distributions for the Proton in Position Space : Non-Zero Skewness
• Gravitational form factors and angular momentum densities in light-front quark-diquark model
• Sivers Asymmetries for Inclusive Pion and Kaon Production in Deep-Inelastic Scattering
• Sivers and $\cos 2\varphi$ Asymmetries in Semi-inclusive Deep Inelastic Scattering in Light-front Holographic Model
• Generalized Parton Distributions of proton for non zero skewness in transverse and longitudinal position spaces
• Confinement in Two-Dimensional QCD and the Infinitely Long Pion
• Model predictions for azimuthal spin asymmetries for HERMES and COMPASS kinematics

Cited by in corpus (8)

• Quark generalized TMDs at skewness and Wigner Distribution in boost invariant longitudinal space
• Twist-4 proton GTMDs in the light-front quark-diquark model
• Unraveling sub-leading twist GTMDs of proton using LFQDM
• Gluon Generalized TMDs and Wigner Distributions in boost invariant longitudinal space
• Gluon generalized transverse momentum dependent parton distributions and Wigner functions of the Proton
• Understanding the Valence Quark Structure of the Pion through GTMDs
• Deciphering Twist-3 Chiral-Even GPDs in the Light-Front Quark-Diquark Model
• T-odd Wigner Distributions in boost-invariant longitudinal position space and Spin-momentum correlation in proton