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$\rho$ meson generalized parton distributions in the Nambu--Jona-Lasinio model

Authors :
Jialun Ping
Guangzhen Kang
Jin-Li Zhang
Source :
Physical Review
Publication Year :
2022

Abstract

In this paper, both the unpolarized and the polarized $\rho$ meson generalized parton distributions are investigated in the framework of the Nambu--Jona-Lasinio model using proper time regularization scheme. The symmetry properties of $\rho$ 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 $\rho$ meson generalized parton distributions satisfy the required properties well.<br />Comment: 15 pages, 29 figures, accepted for publication in PRD

Details

Language :
English
Database :
OpenAIRE
Journal :
Physical Review
Accession number :
edsair.doi.dedup.....5f49065f47fa8b025241539fff85671e