{
  "id": "2210.12992",
  "version": "v1",
  "published": "2022-10-24T07:28:23.000Z",
  "updated": "2022-10-24T07:28:23.000Z",
  "title": "Further understanding the nature of $a_0(1710)$ in the $D^+_s \\to π^0 K^+ K^0_S$ decay",
  "authors": [
    "Xin Zhu",
    "Hao-Nan Wang",
    "De-Min Li",
    "En Wang",
    "Li-Sheng Geng",
    "Ju-Jun Xie"
  ],
  "comment": "8 pages, 8 figures",
  "categories": [
    "hep-ph",
    "hep-ex",
    "nucl-ex",
    "nucl-th"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-24T07:28:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "chiral unitary approach",
      "invariant mass distributions",
      "contribution",
      "final state interaction",
      "pure isospin"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}