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arXiv 2210.12992hep-phhep-exnucl-exnucl-th
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进一步了解$D^+_s \to π^0 K^+ K^0_S$衰变中$a_0(1710)$的性质

Further understanding the nature of $a_0(1710)$ in the $D^+_s \to π^0 K^+ K^0_S$ decay

Xin Zhu, Hao-Nan Wang, De-Min Li, En Wang, Li-Sheng Geng, Ju-Jun Xie

摘要:

基于我们先前关于$a_0(1710)$在$D_s^+\toπ^+K_S^0K_S^0$衰变中的作用的工作[Phy. Rev. D 105,116010(2022)],我们对过程$D^+_s \to π^0 a_0(1710)^+ \to π^0 K^+ K^0_S$中的$a_0(1710)^+$进行了进一步的理论研究。除$a_0(1710)$外,还考虑了$K^*$和$a_0(980)$的贡献。首先,我们考虑$K^{*+} \to K^+π^0$和$\bar{K}^{*0} \to π^0 \bar{K}^0$树图的贡献。其次,我们用手征么正方法描述了$K\bar{K}$的末态相互作用,研究了$a_0(980)$的贡献,而$a_0(1710)$态是由$K^*\bar{K}^*$相互作用动态生成,然后衰变为$K^+\bar{K}^0$ .由于最终的$K^+ K_S^0$态是纯的同位旋$I=1$,因此$D_s^+\toπ^0K^+K_s^0$衰变是研究$a_0(1710)^+$和$a_0(980)^+$共振的理想过程。基于我们的理论计算,发现最近的实验测量的$K^+K^0_S$,$π^0K^+$和$π^0 K_S^0$不变质量分布可以很好地再现,这支持了分子$K^*\bar{K}^*$的标量$a_0(1710)$共振的性质。

英文摘要:

Based on our previous work about the role of $a_0(1710)$ in the $D_s^+\toπ^+K_S^0K_S^0$ decay [Phy. Rev. D 105, 116010 (2022)], we perform a further theoretical study of $a_0(1710)^+$ in the process $D^+_s \to π^0 a_0(1710)^+ \to π^0 K^+ K^0_S$. In addition to $a_0(1710)$, the contributions of $K^*$ and $a_0(980)$ are also taken into account. Firstly, we consider the contributions from the tree diagrams of $K^{*+} \to K^+π^0$ and $\bar{K}^{*0} \to π^0 \bar{K}^0$. Secondly, we describe the final state interaction of $K\bar{K}$ in the chiral unitary approach to study the contribution of $a_0(980)$, while the $a_0(1710)$ state is dynamically generated from the $K^*\bar{K}^*$ interaction, and then decays into $K^+\bar{K}^0$. Since the final $K^+ K_S^0$ state is in pure isospin $I=1$, the $D_s^+\toπ^0K^+K_s^0$ decay is an ideal process to study the $a_0(1710)^+$ and $a_0(980)^+$ resonances. Based on our theoretical calculations, it is found that the recent experimental measurements on the $K^+K^0_S$, $π^0K^+$, and $π^0 K_S^0$ invariant mass distributions can be well reproduced, which supports the molecular $K^*\bar{K}^*$ nature of the scalar $a_0(1710)$ resonance.

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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