论文标题
研究独立于模型的极点确定重叠共振的研究
Study for a model-independent pole determination of overlapping resonances
论文作者
论文摘要
我们将独立于模型的重建方法应用于实验数据，以确定重叠共振的复杂极。该算法基于Schlessinger Point方法，其中数据点使用持续分数表达式进行了插值。实验数据的统计不确定性通过重新采样而传播。为了证明此方法的可行性，我们将其应用于$ S $ -WAVE $ J/ψ\至γπ^0π^0 $衰减。我们基于已知分析模型的方法，该方法使我们能够估计与真实值的偏差。然后，我们从BESIII数据中执行杆子提取，并确定$ f_0（1500）$，$ f_0（1710）$和$ f_0（2020）$ stallar状态。我们的结果与最近的结果是合理的一致性的，这表明该方法是确定仅基于可用的实验数据的共振杆的有前途的独立于模型独立的替代方案。
We apply a model-independent reconstruction method to experimental data in order to identify complex poles of overlapping resonances. The algorithm is based on the Schlessinger Point Method where data points are interpolated using a continued-fraction expression. Statistical uncertainties of the experimental data are propagated with resampling. In order to demonstrate the feasibility of this method, we apply it to the $S$-wave $J/ψ\to γπ^0π^0$ decay. We benchmark the method on known analytic models, which allows us to estimate the deviation from the true value. We then perform the pole extraction from BESIII data, and identify the $f_0(1500)$, $f_0(1710)$, and $f_0(2020)$ scalar states. Our results are in reasonable agreement with recent results, which suggests the proposed method as a promising model-independent alternative for the determination of resonance poles that is solely based on available experimental data.
