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arXiv 2203.13786hep-ph
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$\bar B_s^0 \to J/ψπ^0 η$衰变和$a_0(980)-f_0(980)$混合

The $\bar B_s^0 \to J/ψπ^0 η$ decay and the $a_0(980)-f_0(980)$ mixing

Jia-Ting Li, Jia-Xin Lin, Gong-Jie Zhang, Wei-Hong Liang, E. Oset

摘要:

我们研究了$\bar B_s^0 \to J/ψf_0(980)$和$\bar B_s^0 \to J/ψa_0(980)$反应,并着重讨论了不同的同位旋破坏源和$f_0(980)$和$a_0(980)$共振的混合,其中这些共振是由介子-介子相互作用动态产生的.我们发现,介子-介子跃迁$T$矩阵中的同位旋破缺是导致同位旋破缺的主要原因,另一个原因是由于带电和中性K介子的质量不同,导致产生机制中K介子的环不能抵消.我们得到了一个分支比$a_0(980)$生产的顺序为$5 \times 10^{-6}$。未来的实验可以解决这个问题,并且$π^0 η$质量分布的产生率和形状肯定有助于更好地理解标量共振的性质。

英文摘要:

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 cause 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 do not cancel due to the different masses 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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