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arXiv 1808.01437hep-phhep-lat
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双夸克旁观者模型中的广义准部分子分布

Generalized quasi parton distributions in a diquark spectator model

Shohini Bhattacharya, Christopher Cocuzza, Andreas Metz

摘要:

最近提出了强子的准部分子分布的概念。准PDF是通过空间关联函数定义的,因此可以在四维晶格上使用量子色动力学进行数值计算。随着强子动量的增加,准PDF收敛到相应的标准PDF,出现在许多高能散射过程的因式分解定理。在这里,我们调查的情况下,广义部分子分布(GPD)的扭曲-2矢量GPD的标量双夸克旁观者模型的情况下,这个新的概念。在强子动量为无穷大的情况下,准GPD的分析结果与标准GPD的结果一致。我们的主要重点是检查如何以及准GPD同意有限强子动量的标准GPD。我们还研究了结果对模型参数的敏感性。总的来说,我们的模型计算表明,准GPD可能是一个可行的工具,获得有关标准GPD的信息。

英文摘要:

Recently the concept of quasi parton distributions (quasi-PDFs) for hadrons has been proposed. Quasi-PDFs are defined through spatial correlation functions and as such can be computed numerically using quantum chromodynamics on a four-dimensional lattice. As the hadron momentum is increased, the quasi-PDFs converge to the corresponding standard PDFs that appear in factorization theorems for many high-energy scattering processes. Here we investigate this new concept in the case of generalized parton distributions (GPDs) by calculating the twist-2 vector GPDs in the scalar diquark spectator model. For infinite hadron momentum, the analytical results of the quasi-GPDs agree with those of the standard GPDs. Our main focus is to examine how well the quasi-GPDs agree with the standard GPDs for finite hadron momenta. We also study the sensitivity of the results on the parameters of the model. In general, our model calculation suggests that quasi-GPDs could be a viable tool for getting information about standard GPDs.

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