Study for a model-independent pole determination of overlapping resonances

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/,/< -> gamma g0g0 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 f0(1500), f0(1710), and f0(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.(c) 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.

Automated summary

In this study, a model-independent reconstruction method is applied to experimental data to identify complex poles of overlapping resonances. The algorithm utilizes the Schlessinger Point Method and interpolates data points using a continued-fraction expression. The statistical uncertainties of experimental data are propagated with resampling. The feasibility of the method is demonstrated by applying it to the S-wave J/ψ -> γg0g0 decay, where the f0(1500), f0(1710), and f0(2020) scalar states are identified from BESIII data. The results are in reasonable agreement with recent studies, indicating the potential of the proposed method as a model-independent alternative for determining resonance poles solely based on available experimental data.