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26 April 2024
 
  » arxiv » 2205.02690

 Article overview



Study for a model-independent pole determination of overlapping resonances
Daniele Binosi ; Alessandro Pilloni ; Ralf-Arno Tripolt ;
Date 5 May 2022
AbstractWe 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 $J/psi o gamma pi^0pi^0$ 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 solely based on available experimental data.
Source arXiv, 2205.02690
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