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arXiv 2109.08405hep-ph
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$D_s^+ \to a_0(980) e^+ ν_e$反应和$a_0(980)-f_0(980)$混合

The $D_s^+ \to a_0(980) e^+ ν_e$ reaction and the $a_0(980)-f_0(980)$ mixing

Jia-Xin Lin, Jia-Ting Li, Sheng-Juan Jiang, Wei-Hong Liang, E. Oset

摘要:

我们进行了研究的$D_s^+ \to a_0(980)(f_0(980)) e^+ ν_e$反应调查的不同来源的同位旋破坏,使生产的$a_0(980)$的可能。我们发现,由于带电和中性K介子的质量不同,产生机制中的K介子环并不抵消,因此K介子环提供了一个同位旋破坏的来源,但我们也发现,主要的破坏来源于介子-介子跃迁$T$矩阵中的同位旋破缺,该矩阵包含了低位标量介子的性质信息.因此,该反应对$a_0(980)$和$f_0(980)$共振的性质非常敏感。我们的结果是一致的,目前的上限为$a_0(980)$生产和只有一个因素三小,表明未来的运行与更多的统计数据应该找到实际的数字,从那里我们可以了解更多的标量共振的起源和它们的性质。

英文摘要:

We perform a study of the $D_s^+ \to a_0(980)(f_0(980)) e^+ ν_e$ reactions investigating the different sources of isospin violation which make the production of the $a_0(980)$ possible. We find that loops involving kaons in the production mechanism provide a source of isospin violation since they do not cancel due to the different mass of charged and neutral kaons, but we also find that the main source comes from the breaking of isospin in the meson-meson transition $T$ matrices, which contain information on the nature of the low lying scalar mesons. The reaction is thus very sensitive to the nature of the $a_0(980)$ and $f_0(980)$ resonances. Our results are consistent with the present upper bound for $a_0(980)$ production and only a factor three smaller, indicating that future runs with more statistics should find actual numbers for this reaction from where we can learn more about the origin of the scalar resonances and their nature.

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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