高能重离子碰撞初态结构的主成分分析估算（PCA）
Estimation of initial state structures in high energy heavy-ion collisions using Principal Component Analysis (PCA)
摘要：
在高能重离子碰撞中，初始碰撞区的结构是理论和实验研究的热点。已经开发了大量的模型来表示碰撞的初始状态，包括Glauber模型，彩色玻璃冷凝物（CGC）等。研究的另一个重要方面是调查对初始碰撞区敏感的适当观测值。在这项工作中，我们已经讨论了一种形式主义，以实现在部分子水平的弦熔化版本的AMPT模型的PbPb碰撞在$\sqrt{s_{NN}}$ = 200 GeV的空间集群。这些集群，然后通过传播的AMPT强子化计划。对产生的带电粒子的$η$、$ϕ$和$p_T$分布进行了主成分分析（PCA），并对聚类前后的特征值进行了比较。结果发现，对于所有这三种不同的分布，所有突出的PCA模式都表现出敏感的聚类。一个中心依赖的研究也进行了这些特征值。
英文摘要：
In high-energy heavy-ion collisions, structures in the initial collision zone are a matter of intense investigation, both from theory and experimental points of view. A large number of models have been developed to represent the initial state of the collision including Glauber model, Colour Glass Condensate (CGC) among others. Another important aspect of the study is to investigate proper observables that will be sensitive to the initial collision zone. In this work, we have discussed a formalism to implement the spatial clusters at the partonic level in the string melting version of the AMPT model for PbPb collisions at $\sqrt{s_{NN}}$ = 200 GeV. These clusters are then propagated through the AMPT hadronization scheme. The Principal Component Analysis (PCA) has been used on the $η$, $ϕ$ and $p_T$ distributions of the produced charged particles and the eigenvalues have been compared before and after the implementation of the clustering. It is found that for all these three different distributions, all the prominent PCA modes have shown sensitivity to the clustering. A centrality dependent study has also been performed on those eigenvalues.
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