Wigner distributions for an electron

Abstract

We study the Wigner distributions for a physical electron, which reveal the multidimensional images of the electron. The physical electron is considered as a composite system of a bare electron and photon. The Wigner distributions for unpolarized, longitudinally polarized and transversely polarized electron are presented in transverse momentum plane as well as in impact parameter plane. The spin-spin correlations between the bare electron and the physical electron are discussed. We also evaluate all the leading twist generalized transverse momentum distributions (GTMDs) for electron.

27 pages, 18 figures, text modified, version accepted in Nuclear Physics B

References in corpus (24)

• Relations between generalized and transverse momentum dependent parton distributions
• 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
• Gluon orbital angular momentum at small-$x$
• Generalized TMDs and the exclusive double Drell-Yan process
• Nucleon spin densities in a light-front constituent quark model
• Quark Wigner Distributions and Orbital Angular Momentum in Light-front Dressed Quark Model
• Hadron Optics in Three-Dimensional Invariant Coordinate Space from Deeply Virtual Compton Scattering
• Hunting the Gluon Orbital Angular Momentum at the Electron-Ion Collider
• The elliptic gluon GTMD inside a large nucleus
• Wigner, Husimi and GTMD distributions in the Color Glass Condensate
• Quark Wigner distributions in a light-cone spectator model
• Quark Wigner distributions and spin-spin correlations
• Densities, Parton Distributions, and Measuring the Non-Spherical Shape of the Nucleon
• Nucleon parton distributions in a light-front quark model
• Elliptic Flow in Small Systems due to Elliptic Gluon Distributions?
• Quark Wigner Distributions Using Light-Front Wave Functions
• Generalized parton distributions in a light-front nonperturbative approach
• Use of the Husimi distribution for nucleon tomography
• Electron Structure: Shape, Size and GPDs in QED
• Generalized Parton Distributions of proton for non zero skewness in transverse and longitudinal position spaces
• Charge and magnetization densities in transverse coordinate and impact parameter space
• Transverse distortion of a relativistic composite system in impact parameter space

Cited by in corpus (8)

• Transverse structure of electron in momentum space in basis light-front quantization
• Study of kaon structure using the light-cone quark model
• Leading twist GTMDs at nonzero skewness and Wigner distributions in boost-invariant longitudinal position space
• Wigner distributions and GTMDs in a proton using light-front quark-diquark model
• Understanding the Valence Quark Structure of the Pion through GTMDs
• TMD Relations: Insights from a Light-Front Quark-Diquark Model
• Six-dimensional light-front Wigner distributions of the proton
• T-odd Wigner Distributions in boost-invariant longitudinal position space and Spin-momentum correlation in proton