论文标题
$ρ$ MESON PERTARMIZED PARTON分布在NAMBU - JONA-LASINIO模型
$ρ$ meson generalized parton distributions in the Nambu--Jona-Lasinio model
论文作者
论文摘要
在本文中，使用适当的时间正则化方案在Nambu-Jona-Lasinio模型的框架内研究了非偏光$ρ$ MESON通用Parton分布。检查了$ρ$ MESON通用Parton分布的对称属性。 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.此外，研究了$ u $ quark轴向矢量形式$ \ tilde {f} _1^u（t）$和$ \ tilde {f} _2^u（t）$（t）$（t）$（t）$（t）$（t）$（T）$（T）$（T）$（t）$。还研究了冲击参数依赖性的parton分布函数，这也是广义parton分布的二维傅立叶变换。获得的$ρ$ MESON通用Parton发行量很好地满足了所需的属性。
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.
