arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2009.04288hep-ph
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动量空间中的光阵面全息$ρ$ -介子分布

Light-front holographic $ρ$-meson distributions in the momentum space

Satvir Kaur, Chandan Mondal, Harleen Dahiya

摘要:

在光阵面框架下,我们给出了自旋为1的靶(如$ρ$ -介子)的夸克横动量依赖的首扭部分子分布函数。具体来说,我们预测的TMD在光前全息模型和比较与光前夸克模型预测。我们利用光阵面波函数的重叠来获得TMD。我们评估的${\bf k}_\perp$时刻高达二阶,并与现有的理论预测进行比较。进一步,我们分析了光阵面全息模型中$ρ$介子的首扭部分子分布函数,发现其与Nambu-Jona-Lasinio(NJL)模型和光阵面夸克模型的预言一致.我们进一步研究了PDF的QCD演化。讨论了TMDs和PDFs的正性界。我们还给出了夸克和$ρ$ -介子靶在不同极化组态下横动量平面上的夸克自旋密度。

英文摘要:

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.

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