Abstract
The $\rho$ meson polarized generalized parton distribution functions, its structure functions $g_1$ and $g_2$ and its axial form factors ${\tilde G}_{1,2}$ are studied based on a light-front quark model for the first time. Comparing our obtained moments of $g_1$ to lattice QCD calculation, we find that our results are reasonably consistent to the Lattice predictions.
Highlights
It is believed that the generalized parton distributions (GPDs) of a system could be a powerful tool to understand its hadronic structure [1]
This is because GPDs naturally embody the information of both form factors (FFs) and parton distribution functions (PDFs) for the complicated system
We know that the sum rules proposed by Xiangdong Ji for a nucleon reveal the relation between GPDs and the spin carried by quarks and gluons [5,6]
Summary
It is believed that the generalized parton distributions (GPDs) of a system could be a powerful tool to understand its hadronic structure [1] This is because GPDs naturally embody the information of both form factors (FFs) and parton distribution functions (PDFs) for the complicated system. It should be addressed that the physical meaning of the transverse distribution is more transparent when one goes to the impact parameter space [2,3,4] Another important potential of GPDs is the information about how the orbital angular momentum contributes to the total spin of a hadron. Taking the lowest moments of the polarized GPDs in x, one recovers the axial vector form factors for each flavor q [8], Z
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