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arXiv · 2205.02690

Study for a model-independent pole determination of overlapping resonances

Daniele Binosi·Alessandro Pilloni·Ralf-Arno Tripolt
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Abstract

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.

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Daniele Binosi, Alessandro Pilloni, Ralf-Arno Tripolt. 2022-05-05. Study for a model-independent pole determination of overlapping resonances. https://doi.org/10.1016/j.physletb.2023.137809

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