https://doi.org/10.1140/epja/s10050-025-01567-9
Regular Article - Theoretical Physics
Determination of the 
scattering length and effective range and its relation to the 
from the 
reaction
1
Department of Physics, Guangxi Normal University, 541004, Guilin, China
2
School of Physics, Southeast University, 210094, Nanjing, China
3
Guangxi Key Laboratory of Nuclear Physics and Technology, Guangxi Normal University, 541004, Guilin, China
4
Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, Apartado 22085, 46071, Valencia, Spain
Received:
24
January
2025
Accepted:
9
April
2025
Published online:
6
May
2025
We analyze the clean cusp, seen in the 
mass distribution with high precision of the 
reaction in the BESIII experiment, with the aim of making a precise determination of the scattering length a and effective range 
of 
. For that, we follow a previous theoretical work that gave a good reproduction of these data using the chiral unitary approach for the meson-meson interaction, and allow some flexibility in the input to carry a better fit to the data. The important task of determining the uncertainties in the scattering parameters is done using the resampling method and an accuracy in a and is obtained better than 
. The effective range is determined for the first time with this analysis.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
