中子断裂函数的自相似性
Self-similar behavior of the Neutron Fracture Functions
摘要：
本文用分形理论计算了\textit{ep}碰撞中先导中子的破裂函数。分形概念描述了在分数动量变量$β$的低值下，半包容深度非弹性散射的领先中子产生时质子结构的自相似行为。断裂函数（FF）参数化的非微扰部分的碎裂过程中的初始规模Q $_{0}^{2}$。在分析中，我们受益于领先的中子（Ln）的实验数据公布的H1合作，为了估计中子FF和相应的可观测量的不确定性，我们使用的Hessian方法。作为这个次主导阶QCD分析的结果，我们实现了我们的模型预测中子FF和实验数据之间的一个很好的协议。基于这些条件部分子分布函数在低x下的自相似行为的分形方法似乎可以很好地描述实验数据。
英文摘要：
In this article, we have employed fractal formalism to calculate the Fracture Functions of the Leading neutron produced in \textit{ep} collisions. The fractal concept describes the self-similar behavior of the proton structure at Leading neutron production of semi-inclusive Deep Inelastic Scattering at the low values of the fractional momentum variable $β$. The Fracture Functions (FFs) parameterized the non-perturbative part of the fragmentation process at the initial scale of Q$_{0}^{2}$. In this analysis, we benefit from the Leading neutron (Ln) experimental data published by H1 Collaboration and in order to estimate the uncertainty of neutron FFs and corresponding observables, we used the Hessian method. As a consequence of this Next-to-Leading order QCD analysis, we achieve a nice agreement between the prediction of our model for neutron FFs and experimental data. It seems that the fractal approach based on the self-similar behavior of these conditional parton distribution functions at low x can nicely describe the experimental data.
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