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arXiv 2201.12586nucl-thnucl-ex
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中间能量重离子碰撞中基于两个观测量重建碰撞参数分布的贝叶斯方法

Bayesian reconstruction of impact parameter distributions from two observables for intermediate energy heavy ion collisions

Xiang Chen, Li Li, Ying Cui, Junping Yang, Zhuxia Li, Yingxun Zhang

AI总结:

本文扩展贝叶斯方法,利用带电粒子多重性和总横向动量两个观测量,模型无关地重建中间能量重离子碰撞的碰撞参数分布,并提出K-means聚类用于中心度分类,以揭示碎裂机制。

摘要:

为了从由两个观测量定义的选定事件样本或中心度中重建碰撞参数分布,我们扩展了Das等人[Phys. Rev. C 97, 014905 (2018)]、Rogly等人[Phys. Rev. C 98, 024902 (2018)]和Frankland等人[Phys. Rev. C 104, 034609 (2021)]提出的方法。基于对涨落机制的深入研究,我们发现内在涨落主要产生于重离子碰撞非平衡过程中初始化和核子-核子碰撞的微观随机性,这导致观测量相对于碰撞参数以高斯形式涨落。在本工作中,我们同时使用带电粒子多重性和轻带电粒子总横向动量,基于贝叶斯方法模型无关地重建选定事件或中心度的碰撞参数分布。对于使用两个观测量进行中心度分类,我们提出使用$K$-means聚类方法(一种无监督机器学习算法),当给定类别数时,该方法可以自动对事件进行分类。此外,从两个观测量的数据重建的碰撞参数分布可用于学习不同中心度下多重性与横向动量之间的相关性,这可能有助于理解碎裂机制。

英文摘要:

To reconstruct the impact parameter distributions from the selected events sample or centrality, which is defined by two-observables, at intermediate energy heavy ion collisions, we extend the approach proposed by Das \textit{et al.} [Phys. Rev. C 97, 014905 (2018)], Rogly \textit{et al.} [Phys. Rev. C 98, 024902 (2018)], and Frankland \textit{et al.} [Phys. Rev. C 104, 034609 (2021)]. Based on deep investigations of the fluctuation mechanism, we found that the intrinsic fluctuations are mainly generated in the microscopic stochasticity of initialization and nucleon-nucleon collisions in the nonequilibrium process of heavy ion collisions, and this leads the observables to fluctuate with respect to impact parameter in a Gaussian form. In this work, the multiplicity of the charged particles and the total transverse momentum of the light charged particles are used simultaneously to model-independently reconstruct the impact parameter distributions for selected events or centrality based on the Bayesian method. For sorting the centrality with two observables, we propose to use the $K$-means clustering method (an unsupervised machine learning algorithm), which can automatically sort events when the class number is given. Furthermore, the reconstructed impact parameter distributions from data of the two observables can be used to learn the correlation between multiplicity and transverse momentum at different centralities, which may be useful for understanding the fragmentation mechanism.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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