论文标题
进一步理解$ d^+ _ s \toπ^0 k^+ k^0_s $ decay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
论文作者
论文摘要
基于我们以前关于$ a_0（1710）$在$ d_s^+\toπ^+k_s^0k_s^0 $ decay [phy [phy]中的作用的工作。 Rev. D 105，116010（2022）]，我们在此过程中对$ a_0（1710）^+ $进行进一步的理论研究$ d^+ _ s \toπ^0 a_0（1710）^+ \toπ^0 k^+ k^0_s $。除$ a_0（1710）$外，还考虑了$ k^*$和$ a_0（980）$的贡献。首先，我们考虑了$ k^{*+} \至k^+π^0 $和$ \ bar {k}^{*0} \toπ^0 \ bar {k}^0 $的贡献。其次，我们描述了$ k \ bar {k} $的最终状态相互作用，用于研究$ a_0（980）$的贡献，而$ a_0（1710）$ state的贡献是由$ k^*\ bar {k}^$相互作用动态生成的，然后腐烂到$ k^+bar^k}^0 $^0 $。由于最终的$ k^+k_s^0 $状态在纯isospin $ i = 1 $中，因此$ d_s^+\toπ^0k^0k^+k_s^0 $衰减是研究$ a_0（1710）^+$和$ a_0（980）^+$ resonances的理想过程。基于我们的理论计算，发现对$ K^+K^0_s $，$π^0K^0K^+$的最新实验测量值和$π^0 k_s^0 $不变性质量分布可以很好地重现，从而支持分子$ k^*bar {k} k}^k}^*$ scalcar $ reson（1710）（1710）。
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.
