论文标题
轻型全息$ρ$ -Meson分布在动量空间
Light-front holographic $ρ$-meson distributions in the momentum space
论文作者
论文摘要
我们在光前框架中介绍了Spin-1目标(例如$ρ$ -Meson)的领先夸克横向动量依赖的Parton分布函数(TMD)。具体而言,我们预测了轻型全息模型中的TMD,并与光列夸克模型预测进行比较。我们使用光前波函数的重叠获得TMD。我们评估$ {\ bf k} _ \ perp $ iments to to二阶订单,并与可用的理论预测进行比较。此外,我们分析了轻型全息模型中$ρ$ -Meson的领先Parton分布函数(PDF),发现与Nambu-Jona-Lasinio(NJL)模型和光 - 前面的夸克模型预测相符。我们进一步研究了PDF的QCD演变。还讨论了TMD和PDF的阳性界限。我们还介绍了横向动量平面中的夸克旋转密度,以用于夸克的不同极化配置和$ρ$ -Meson目标。
We present the leading-twist quark transverse momentum-dependent parton distribution functions (TMDs) for the spin-1 target, such as the $ρ$-meson, in the light-front framework. Specifically, we predict the TMDs in the light-front holographic model and compare with the light-front quark model predictions. We obtain the TMDs using the overlap of the light-front wave functions. We evaluate the ${\bf k}_\perp$ moments upto second order and compare with the available theoretical predictions. Further, we analyze the leading-twist parton distribution functions (PDFs) of the $ρ$-meson in the light-front holographic model which are found to be in accord with the Nambu-Jona-Lasinio (NJL) model and the light-front quark model predictions. We further study the QCD evolution of the PDFs. The positivity bounds on the TMDs and the PDFs are also discussed. We also present the quark spin densities in the transverse momentum plane for different polarization configurations of the quark and the $ρ$-meson target.