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.

21 pages, minor revisions, published in PRD

References in corpus (8)

• Transverse spin structure of the nucleon from lattice QCD simulations
• First lattice QCD study of the gluonic structure of light nuclei
• $\rho$ meson unpolarized generalized parton distributions with a light-front constituent quark model
• 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
• Diphoton Generalized Distribution Amplitudes
• Crossed channel analysis of quark and gluon generalized parton distributions with helicity flip

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