arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2001.03672hep-phhep-exnucl-exnucl-th
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光阵面上的平均场夸克

Mean Field Quarks on the Light Front

Christopher Leon, Misak Sargsian

摘要:

本文提出了一种计算核子中价夸克分布的新方法,该方法基于三种主要机制产生x>0.05的价夸克谱:价夸克与剩余核子系统产生的平均场的相互作用,通过胶子交换产生的两夸克和三夸克短程相互作用.在本报告中,我们提出了该项目的第一阶段,其中我们开发了一个非微扰模型的价夸克相互作用的平均场的核子内部,以描述它们在中等x区域(0.05 < x < 0.4)的分布。在我们的方法中,短程夸克-夸克相互作用效应产生了价夸克分布的高x尾。所提出的非微扰模型是基于三个相对论性价夸克占据核子核的图像,它们之间的距离为$\le 0.5$ Fm,同时在剩余核子系统产生的平均场中相互作用.计算是基于短程三价夸克的内部相互作用与这些夸克与剩余系统的长程相互作用的a因子分解的假设。理论方法基于有效光阵面图解法,它允许我们以一致的方式引入价夸克和剩余系统波函数。这些波函数的参数由对应于粲夸克质量的Q_0处的价夸克xf_q(x)分布的峰值位置确定。我们用很少的参数对中等x区域(x < 0.4)的上下价夸克分布进行了非常合理的描述,人们期望在那里平均场动力学占主导地位。然而,该模型系统地低估了高$x$区域,其中部分子短程相关增强的贡献是预期的。

英文摘要:

We present a new approach for the calculation of the valence quark distributions in the nucleon based on the scenario in which the spectrum of the valence quarks at x>0.05 is generated through three main mechanisms: interaction of valence quarks with the mean field generated by the residual nucleon system, two and three quark short range interactions through gluon exchanges. In the current report we present the first phase of the project in which we develop a non-perturbative model for valence quark interaction in the mean field of the nucleonic interior to describe their distribution in the moderate x region (0.05 < x < 0.4). The short range quark-quark interaction effects in our approach generate the high x tail of valence quark distributions. The presented non-perturbative model is based on the picture in which three relativistic valence quarks occupy the nucleon core at distances of $\le 0.5$ Fm while interacting in the mean field generated by the residual nucleon system. The calculations are based on the assumption of the a factorization of the internal interaction of short-range three valence quarks with the long-range interaction of these quarks with the residual system. The theoretical approach is based on effective light-front diagrammatic approach which allows us to introduce the valence quark and residual system wave functions in a consistent way The parameters of these wave functions are fixed by the position of the peak of the xf_q(x) distribution of valence quarks at Q_0 corresponding to the charm-quark mass. With few parameters we achieved a very reasonable description of the up and down valence quark distributions in the moderate x region (x < 0.4), where one expects the mean field dynamics to dominate. The model, however, systematically underestimates the high $x$ region where enhanced contributions from partonic short-range correlations are expected.

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