Phenomenological description of the $\pi^-\pi^+$ $S$-waves in $D^+\to\pi^-\pi^+\pi^+$ and $D^+_s\to\pi^-\pi^+\pi^+$ decays: The problem of phases

التفاصيل البيبلوغرافية
العنوان: Phenomenological description of the $\pi^-\pi^+$ $S$-waves in $D^+\to\pi^-\pi^+\pi^+$ and $D^+_s\to\pi^-\pi^+\pi^+$ decays: The problem of phases
المؤلفون: Achasov, N. N., Shestakov, G. N.
المصدر: Physical Review D 107, 056009 (2023)
سنة النشر: 2022
المجموعة: High Energy Physics - Experiment
High Energy Physics - Phenomenology
Nuclear Experiment
Nuclear Theory
مصطلحات موضوعية: High Energy Physics - Phenomenology, High Energy Physics - Experiment, Nuclear Experiment, Nuclear Theory
الوصف: We present a phenomenological description of the LHCb data for the magnitudes and phases of the $\pi^-\pi^+$ $S$-wave amplitudes in the $D^+\to\pi^-\pi^+\pi^+$ and $D^+_s\to\pi^-\pi^+\pi^+$ decays. We operate within a simple model that takes into account the known pair interactions of particles in coupled channels. The seed complex amplitudes for various intermediate state production are assumed to be independent of the energy. Their values are determined by fitting. This model gives the satisfactorily description of virtually all features of the energy dependence of the experimentally measured $S$-wave amplitudes in the $D^+\to\pi^-\pi^+ \pi^+$ and $D^+_s\to \pi^-\pi^+\pi^+$ decays in the regions $2m_\piComment: 9 pages, 6 figures; v2: published version; clarifications, references, and comment on possibility of pi-eta S-wave phase shift measurement added
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevD.107.056009
URL الوصول: http://arxiv.org/abs/2211.05526
رقم الأكسشن: edsarx.2211.05526
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevD.107.056009