The $\bar B_s^0 \to J/ψπ^0 η$ decay and the $a_0(980)-f_0(980)$ mixing
- Resource Type
- Authors
- Li, Jia-Ting; Lin, Jia-Xin; Zhang, Gong-Jie; Liang, Wei-Hong; Oset, E.
- Source
- Subject
- High Energy Physics - Phenomenology (hep-ph)
Nuclear Theory
High Energy Physics::Phenomenology
FOS: Physical sciences
High Energy Physics::Experiment
Nuclear Experiment
- Language
We study the $\bar B_s^0 \to J/ψf_0(980)$ and $\bar B_s^0 \to J/ψa_0(980)$ reactions, and pay attention to the different sources of isospin violation and mixing of $f_0(980)$ and $a_0(980)$ resonances where these resonances are dynamically generated from meson-meson interaction. We find that the main reason of isospin violation is the isospin breaking in the meson-meson transition $T$ matrices, and the other source is that the loops involving kaons in the production mechanism provide a source of isospin violation because they do not cancel by the different mass of the charged and neutral kaons. We obtain a branching ratio for $a_0(980)$ production of the order of $5 \times 10^{-6}$. Future experiments can address this problem and the production rate and shape of the $π^0 η$ mass distribution will definitely help to better understand the nature of scalar resonances.
12 pages, 4 figures