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arXiv 1701.07673hep-lat
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用一种新的分析方法提取标量介子扇区中的激发态

Using a new analysis method to extract excited states in the scalar meson sector

Jacob Finkenrath, Constantia Alexandrou, Joshua Berlin, Mattia Dalla Brida, Theodoros Leontiou, Marc Wagner

摘要:

我们探索了一种提取能量本征态的方法,称为雅典模型独立分析方案(AMIAS),这是解决标准广义本征值问题(GEVP)的一种替代方法。该方法基于根据拟合函数的$χ^2$值对拟合参数的空间进行统计采样。该方法特别适用于具有来自几个能量本征态的强贡献的相关矩阵或相关矩阵,以及相当嘈杂的数据,例如,对于具有断开和部分断开的图的相关矩阵。我们将该方法应用于分析的$J^P = 0^+$通道的背景下,我们的调查的$a_0(980)$介子,并指出优势相比,GEVP。

英文摘要:

We explore a method to extract energy eigenstates, called Athens Model Independent Analysis Scheme (AMIAS), which is an alternative to solving standard Generalized Eigenvalue Problems (GEVP). The method is based on statistically sampling the space of fit parameters according to the $χ^2$ value of the fit function. The method is particularly suited for correlators or correlation matrices with strong contributions from several energy eigenstates and for rather noisy data, e.g. for correlators with disconnected and partly disconnected diagrams. We apply the method to the analysis of the $J^P = 0^+$ channel in the context of our investigation of the $a_0(980)$ meson and point out advantages compared to the GEVP.

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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