Polarized generalized parton distributions and structure functions of the ρ meson

Abstract

The ρ meson polarized generalized parton distribution functions, its structure functions g1 and g2 and its axial form factorsG1,2 are studied based on a light-front quark model for the first time. Comparing our obtained moments of g1 to the Lattice QCD calculation, we find that our results are reasonably consistent to the Lattice predictions.

Generalized parton distribution functions of $\rho$ meson

“…Our obtained "3-dimensional" GPDs have been explicitly plotted in Refs. [28,29] at different skewness ξ, where the EM and EW form factors are also obtained according to eq. (3).…”

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

“…. P µ s B q s+1,i (t) (39) where the number of factors ∆ is related to the T-even or odd nature of the accompanying remaining tensor. The number of GFFs for any value of s is 2(s + 1), which is equal to the number derived through J PC matching.…”

“…A complete picture of polynomiality for spin-1 targets is desirable due to an emerging interest in the partonic structure of particular spin-1 targets, and hard exclusive reactions involving such targets. Generalized parton distributions of the deuteron [26][27][28][29][30][31][32][33][34][35], rho meson [36][37][38][39], phi meson [19], and photon [40][41][42] have been the subjects of theoretical studies. Deeply virtual Compton scattering from the deuteron has been performed at HERMES [43,44], and is a topic of interest at Jefferson Lab [45,46], as well as the proposed Electron Ion Collider [47].…”

Report on scipost_201910_00011v1

“…The "3-dimensional" GPDs have been explicitly plotted in our calculation of Refs. [26,27] at different skewness ξ, where the EM and EW form factors are also obtained according to eq. (3).…”