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Uspekhi Fizicheskikh Nauk, 2024, Volume 194, Number 1, Pages 77–85
DOI: https://doi.org/10.3367/UFNr.2022.07.039225 (Mi ufn14996) 		 
METHODOLOGICAL NOTES

On effective range expansion in a multichannel system and compositeness of near-threshold resonance

A. V. Nefediev

Lebedev Physical Institute of the Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.3367/UFNr.2022.07.039225
Abstract: We discuss effective range expansion in a two-channel system and establishing the nature of a near-threshold hadronic resonance with the help of parameters obtained from a fit to experimental data. In particular, the situation of two strong thresholds located close to each other and a hadronic resonance residing at the lower of them is considered. For the case of a bound state, simple expressions are derived that allow one to estimate the probability of finding the given resonance in each hadronic channel and as a compact quark state if the resonance wave function contains such a component.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.W03.31.0026
This study was supported by the Ministry of Science and Education of the Russian Federation under grant 14.W03.31.0026.
Received: March 30, 2022
Revised: June 27, 2022
Accepted: July 28, 2022
English version:
Physics–Uspekhi, 2024, Volume 67, Issue 1, Pages 71–79
DOI: https://doi.org/10.3367/UFNe.2022.07.039225
Bibliographic databases:
Document Type: Article
PACS: 11.55.Bq, 14.40.Pq, 14.40.Rt
Language: Russian
Citation: A. V. Nefediev, “On effective range expansion in a multichannel system and compositeness of near-threshold resonance”, UFN, 194:1 (2024), 77–85; Phys. Usp., 67:1 (2024), 71–79
Citation in format AMSBIB
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