标题： 进一步理解$a_0(1710)$在$D^+_s \to π^0 K^+ K^0_S$衰变中的性质 显示英文标题

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

摘要： 基于我们之前关于$a_0(1710)$在$D_s^+\to\pi^+K_S^0K_S^0$衰变中的作用的研究[Phy. Rev. D 105, 116010 (2022)]，我们对$a_0(1710)^+$在过程$D^+_s \to \pi^0 a_0(1710)^+ \to \pi^0 K^+ K^0_S$中的理论研究进行了进一步研究。除了$a_0(1710)$外，还考虑了$K^*$和$a_0(980)$的贡献。 首先，我们考虑来自$K^{*+} \to K^+\pi^0$和$\bar{K}^{*0} \to \pi^0 \bar{K}^0$的树图贡献。 其次，我们描述$K\bar{K}$在手征单位论方法中的末态相互作用，以研究$a_0(980)$的贡献，而$a_0(1710)$状态是由$K^*\bar{K}^*$相互作用动态生成的，然后衰变为$K^+\bar{K}^0$。 由于最终的$K^+ K_S^0$状态处于纯同位旋$I=1$，因此$D_s^+\to\pi^0K^+K_s^0$衰变是一个研究$a_0(1710)^+$和$a_0(980)^+$共振态的理想过程。 根据我们的理论计算，发现近期对$K^+K^0_S$、$\pi^0K^+$和$\pi^0 K_S^0$不变质量分布的实验测量可以被很好地再现，这支持了标量$a_0(1710)$共振态的分子$K^*\bar{K}^*$性质。 显示英文摘要

摘要： Based on our previous work about the role of $a_0(1710)$ in the $D_s^+\to\pi^+K_S^0K_S^0$ decay [Phy. Rev. D 105, 116010 (2022)], we perform a further theoretical study of $a_0(1710)^+$ in the process $D^+_s \to \pi^0 a_0(1710)^+ \to \pi^0 K^+ K^0_S$. 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 $K^{*+} \to K^+\pi^0$ and $\bar{K}^{*0} \to \pi^0 \bar{K}^0$. 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 $D_s^+\to\pi^0K^+K_s^0$ 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 $K^+K^0_S$, $\pi^0K^+$, and $\pi^0 K_S^0$ invariant mass distributions can be well reproduced, which supports the molecular $K^*\bar{K}^*$ nature of the scalar $a_0(1710)$ resonance.