Quark Wigner distributions in a light-cone spectator model

Abstract

We investigate the quark Wigner distributions in a light-cone spectator model. The Wigner distribution, as a quasi-distribution function, provides the most general one-parton information in a hadron. Combining the polarization configurations, unpolarized, longitudinal polarized or transversal polarized, of the quark and the proton, we can define 16 independent Wigner distributions at leading twist. We calculate all these Wigner distributions for the $u$ quark and the $d$ quark respectively. In our calculation, both the scalar and the axial-vector spectators are included, and the Melosh-Wigner rotation effects for both the quark and the axial-vector spectator are taken into account. The results provide us a very rich picture of the quark structure in the proton.

arXiv comment28 pages, 11 figures, version accepted for publication in PRD

References in corpus (70)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• Generalized Parton Distributions
• Dyson-Schwinger Equations and the Application to Hadronic Physics
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Unraveling hadron structure with generalized parton distributions
• Leading-twist Single-transverse-spin asymmetries: Drell-Yan and Deep-Inelastic Scattering
• Hard Exclusive Reactions and the Structure of Hadrons
• Time-reversal odd distribution functions in leptoproduction
• Final-State Interactions and Single-Spin Asymmetries in Semi-Inclusive Deep Inelastic Scattering
• The complete tree-level result up to order $1/Q$ for polarized deep-inelastic leptoproduction
• Infrared Properties of QCD from Dyson-Schwinger equations
• Hadronic Spectrum of a Holographic Dual of QCD
• Universality of soft and collinear factors in hard-scattering factorization
• Light-Front Holography: A First Approximation to QCD
• Parton Distributions in Light-Cone Gauge: Where Are the Final-State Interactions?
• Quark Imaging in the Proton Via Quantum Phase-Space Distributions
• Transversity and Collins functions from SIDIS and e+e- data
• Transverse-momentum distributions in a diquark spectator model
• Generalized parton correlation functions for a spin-1/2 hadron
• New Quark Distributions and Semi-Inclusive Electroproduction on Polarized Nucleons
• Quark Wigner Distributions and Orbital Angular Momentum
• No Generalized TMD-Factorization in the Hadro-Production of High Transverse Momentum Hadrons
• Light-Front Hadron Dynamics and AdS/CFT Correspondence
• k_T factorization is violated in production of high-transverse-momentum particles in hadron-hadron collisions
• Viewing the Proton Through "Color"-Filters
• Direct measurement of the Wigner function by photon counting
• Distribution Functions of the Nucleon and Pion in the Valence Region
• Nucleon mass from a covariant three-quark Faddeev equation
• The Construction of Gauge-Links in Arbitrary Hard Processes
• The quark orbital angular momentum from Wigner distributions and light-cone wave functions
• Light Hadron Masses from Lattice QCD
• Aspects of Hadron Physics
• Flavor decomposition of the elastic nucleon electromagnetic form factors
• Survey of nucleon electromagnetic form factors
• On unifying the description of meson and baryon properties
• Generalized parton correlation functions for a spin-0 hadron
• Analysis of the Pion Wave Function in Light-Cone Formalism
• Structure analysis of the generalized correlator of quark and gluon for a spin-1/2 target
• Effective masses of diquarks
• Melosh rotation: source of the proton's missing spin
• Constraining quark angular momentum through semi-inclusive measurements
• Kinematical and Dynamical Aspects of Higher-Spin Bound-State Equations in Holographic QCD
• Sivers Asymmetry and Generalized Parton Distributions in Impact Parameter Space
• The Proton Spin and the Wigner Rotation
• Magnetic Moments of the Baryon Decuplet in a Relativistic Quark Model
• Pretzelosity $h_{1T}^{\perp }$ and quark orbital angular momentum
• Non-universality of transverse momentum dependent parton distribution functions
• The Quark Spin Distributions of the Nucleon
• Sivers function in light-cone quark model and azimuthal spin asymmetries in pion electroproduction
• Front Form Spinors in Weinberg-Soper Formalism and Melosh Transformations for any Spin
• Nucleon form factors and spin content in a quark-diquark model with a pion cloud
• Implication of the overlap representation for modelling generalized parton distributions
• Revealing dressed-quarks via the proton's charge distribution
• Connection between the Sivers function and the anomalous magnetic moment
• Electromagnetic Form Factors of Nucleons in a Light-cone Diquark Model
• Single Spin Asymmetries of Inclusive Hadrons Produced in Electron Scattering from a Transversely Polarized ${}^3$He Target
• Electromagnetic properties of diquarks
• Pion-photon and photon-pion transition form factors in light-cone formalism
• Generalized Parton Distributions in the Impact Parameter Space with Non-zero Skewedness
• Space-like and time-like pion-rho transition form factors in the light-cone formalism
• T-odd quark-gluon-quark correlation function in the diquark model
• Proposal for measuring new transverse momentum dependent parton distributions $g_{1T}$ and $h_{1L}^{\perp }$ through semi-inclusive deep inelastic scattering
• Photon-meson transition form factors of light pseudoscalar mesons
• Unified description of hadron-photon and hadron-meson scattering in the Dyson-Schwinger approach
• Axial vector form factor of nucleons in a light-cone diquark model
• Azimuthal asymmetries in single polarized proton-proton Drell-Yan processes
• Generalized form factors of the nucleon in a light-cone spectator-diquark model
• Probing pretzelosity $h_{1T}^{\perp }$ via the polarized proton-antiproton Drell-Yan process

Cited by in corpus (33)

• The Spin Structure of the Nucleon
• The elliptic gluon GTMD inside a large nucleus
• Wigner, Husimi and GTMD distributions in the Color Glass Condensate
• The light-front gauge-invariant energy-momentum tensor
• The Parton Orbital Angular Momentum: Status and Prospects
• Wigner distributions and orbital angular momentum of a proton
• Quark Wigner distributions and spin-spin correlations
• Nucleon parton distributions in a light-front quark model
• Multipole decomposition of the nucleon transverse phase space
• Quark Wigner Distributions Using Light-Front Wave Functions
• Wigner Distributions For Gluons
• Sivers and Boer-Mulders GTMDs in Light-front Holographic Quark-diquark Model
• Study of kaon structure using the light-cone quark model
• Quark Wigner distribution of the pion meson in light-cone quark model
• Leading twist GTMDs at nonzero skewness and Wigner distributions in boost-invariant longitudinal position space
• Quark Wigner Distributions and GTMDs of Pion in the Light-Front Holographic Model
• Wigner distributions for an electron
• Impact of JLab data on the determination of GPDs at zero skewness and new insights from transition form factors $N\to \Delta$
• Quark generalized TMDs at skewness and Wigner Distribution in boost invariant longitudinal space
• Electroweak properties of octet baryons in light-cone quark-diquark model
• Quark spin-orbit correlations in spin-0 and spin-1 mesons using the light-front quark model
• Husimi distribution for nucleon tomography
• Wigner distributions and GTMDs in a proton using light-front quark-diquark model
• Gluon Generalized TMDs and Wigner Distributions in boost invariant longitudinal space
• Gluon generalized transverse momentum dependent parton distributions and Wigner functions of the Proton
• Six-dimensional light-front Wigner distribution of hadrons
• Six-dimensional light-front Wigner distributions of the proton
• Quark-antiquark asymmetry of helicity distributions in the nucleon sea
• Mapping the internal structure of hadrons through color and spin effects
• The gauge-invariant canonical energy-momentum tensor
• Wigner distributions of quarks for different polarizations
• Leading and higher twist transverse momentum dependent parton distribution functions in the spectator model
• T-odd Wigner Distributions in boost-invariant longitudinal position space and Spin-momentum correlation in proton