On the ambiguity of determination of interfering resonances parameters

2015/04/17 by V. M. Malyshev, Malyshev, V. M. · 1 citation
Mathematics · Physics and Astronomy · #Data Analysis #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #Spectral Theory in Mathematical Physics #Statistics and Probability (physics.data-an) #hep-ex #physics.data-an

paper · pdf · doi:10.48550/arxiv.1505.01509

18 pages, 6 figures

arxiv created 2015/04/17 · openalex publication_date 2015/04/17 · arxiv updated 2015/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The general form of solutions for parameters of interfering Breit-Wigner resonances is found. The number of solutions is determined by the properties of roots of corresponding characteristic equation and does not exceed 2^N-1, where N is the number of resonances. For resonances of more complicated form, provided that their amplitudes satisfy certain conditions, for any N≥2 multiple solutions also exist.

Citations

• On the ambiguity of the interfering resonances parameters determination

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