Study for a model-independent pole determination of overlapping resonances
| Autor: | Binosi, Daniele, Pilloni, Alessandro, Tripolt, Ralf-Arno |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.physletb.2023.137809 |
| Popis: | 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 $J/\psi \to \gamma \pi^0\pi^0$ 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. Comment: v1: 9 pages, 4 figures; v2: 12 pages, 7 figures. Major revision: added more details about the SPM and noise-filtering algorithms and a thorough analysis of the independence of the resonance locations from the number of input points. Conclusions unchanged |
| Databáze: | arXiv |
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