1. $ρ$ meson generalized parton distributions in the Nambu--Jona-Lasinio model
- Author
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Zhang, Jin-Li, Kang, Guang-Zhen, and Ping, Jia-Lun
- Subjects
High Energy Physics - Phenomenology (hep-ph) ,High Energy Physics::Phenomenology ,FOS: Physical sciences ,High Energy Physics::Experiment ,Nuclear Experiment - Abstract
In this paper, both the unpolarized and the polarized $ρ$ meson generalized parton distributions are investigated in the framework of the Nambu--Jona-Lasinio model using proper time regularization scheme. The symmetry properties of $ρ$ meson generalized parton distributions are checked. The three independent distribution functions in deep inelastic scattering, $F_1(x)$, $b_1(x)$ and $g_1(x)$, and the Sachs-like charge, magnetic, and quadruple form factors $G_C(t)$, $G_M(t)$ and $G_Q(t)$, which are the first Mellin moments of unpolarized generalized parton distributions are obtained. In addition, the $u$ quark axial vector form factors $\tilde{F}_1^u(t)$ and $\tilde{F}_2^u(t)$ related to the axial currents from the polarized generalized parton distributions are studied. The impact parameter dependent parton distribution functions, which are the two-dimensional Fourier transform of generalized parton distributions are studied, too. The obtained $ρ$ meson generalized parton distributions satisfy the required properties well., 15 pages, 29 figures, accepted for publication in PRD
- Published
- 2022
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