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Correlation function and the inverse problem in the two-body interactions

26 Sep 2024, 14:25
20m
China Hall 2

China Hall 2

2.Parallel session talk Hadrons and related high-energy physics Parallel 2:Hadrons and related high-energy physics

Speaker

楮文 肖 (广西师范大学)

Description

In our work, we dynamically generate the bound states with the chiral unitary approach with the coupled channels, and evaluate the correlation functions for each channel. Then we address the inverse problem starting from these correlation functions to determine the scattering observables related to the system, including the existence of the bound state and its molecular nature. Assuming the correlation functions to correspond to real measurements, we make a fit to the data within a general framework to extract the information contained in these correlation functions. The bootstrap method is used to determine the uncertainties of the different observables, and we find that, assuming errors of the same order than in present measurements of correlation functions, one can determine the scattering length and effective range of all channels with a very good accuracy.

Primary authors

De-Liang Yao (Hunan University) Eulogio Oset (IFIC, University of Valencia) Wei-Hong LIANG (Guangxi Normal University) 楮文 肖 (广西师范大学) Mr Hai-Peng Li Mr Jing-Yu Yi Raquel Molina (U)

Presentation materials