Polynomiality sum rules for generalized parton distributions of spin-1 targets

Abstract

We present the polynomiality sum rules for all leading-twist quark and gluon generalized parton distributions (GPDs) of spin-1 targets such as the deuteron nucleus. The sum rules connect the Mellin moments of these GPDs to polynomials in skewness parameter $\xi$, which contain generalized form factors (GFFs) as their coefficients. The decompositions of local currents in terms of generalized form factors for spin-1 targets are obtained as a byproduct of this derivation.

arXiv comment21 pages, minor revisions, published in PRD

References in corpus (49)

• Generalized Parton Distributions
• Deeply Virtual Compton Scattering
• Unraveling hadron structure with generalized parton distributions
• Impact Parameter Dependent Parton Distributions and Off-Forward Parton Distributions for $\zeta \to 0$
• Impact Parameter Space Interpretation for Generalized Parton Distributions
• Off-Forward Parton Distributions
• Generalized parton distributions and strong forces inside nucleons and nuclei
• Skewed and double distributions in pion and nucleon
• Generalized parton distributions in impact parameter space
• Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
• The Uses of Conformal Symmetry in QCD
• Probing partonic structure in gamma* gamma -> pi pi near threshold
• Revisiting the mechanical properties of the nucleon
• Femto-Photography of Protons to Nuclei with Deeply Virtual Compton Scattering
• Moments of Nucleon Generalized Parton Distributions in Lattice QCD
• Generalized Parton Distributions from Lattice QCD
• Exclusive production of pion pairs in gamma^* gamma collisions at large Q^2
• Deeply Virtual Compton Scattering off the neutron
• Transverse spin structure of the nucleon from lattice QCD simulations
• Spin densities in the transverse plane and generalized transversity distributions
• Generalized parton distributions in the deuteron
• The spin structure of the pion
• Deep Electroproduction of Photons and Mesons on the Deuteron
• Deeply virtual Compton scattering off nuclei
• Decomposition of nonlocal light-cone operators into harmonic operators of definite twist
• Form factor decomposition of generalized parton distributions at leading twist
• Angular momentum sum rule for spin one hadronic systems
• First lattice QCD study of the gluonic structure of light nuclei
• Search for isotensor exotic meson and twist 4 contribution to ${\gamma }^{\ast }\gamma \to \rho \rho$
• Twist decomposition of nonlocal light-cone operators II: General tensors of 2nd rank
• Generalized Quark Transversity Distribution of the Pion in Chiral Quark Models
• $\rho$ meson unpolarized generalized parton distributions with a light-front constituent quark model
• On $\gamma {\gamma }^{\ast }$ production of two ${\rho }^0$ mesons
• Transversity generalized parton distributions for the deuteron
• Form Factors and Generalized Parton Distributions of Heavy Quarkonia in Basis Light Front Quantization
• Counting Form Factors of Twist-Two Operators
• Deeply Virtual Compton Scattering on a Photon and Generalized Parton Distributions in the Photon
• Measurement of azimuthal asymmetries associated with deeply virtual Compton scattering on a longitudinally polarized deuterium target
• Analyticity and sum rules for photon GPDs
• Counting and Tensorial Properties of Twist-Two Helicity-Flip Nucleon Form Factors
• Diphoton Generalized Distribution Amplitudes
• Polarized GPDs and structure functions of $\rho$ meson
• Deeply Virtual Compton Scattering on the Deuteron
• Off-forward gluonic structure of vector mesons
• Generalized Parton Distributions of the Photon with Helicity Flip
• Gauge invariance of DVCS off an arbitrary spin hadron: the deuteron target case
• $\rho$ meson impact parameter distributions
• Crossed channel analysis of quark and gluon generalized parton distributions with helicity flip
• Generalized vector form factors of the pion in a chiral quark model

Cited by in corpus (8)

• Gravitational form factors of light mesons
• Gravitational form factors of a spin one particle
• Gravitational form factors of a baryon with spin-3/2
• Diffractive two-meson electroproduction with a nucleon and deuteron target
• Valence quark distribution of light $\rho$ and heavy $J/\psi$ vector mesons in light-cone quark model
• Generalized parton distributions of light nuclei
• Quantum stress and torsion distributions in the deuteron
• Probing quark transversity GPDs in diffractive photo- and electroproduction on the deuteron