arXiv 2103.042362021-03hep-ph

基于QCD求和规则的$X(4140)$、$X(4500)$、$X(4630)$和$X(4685)$的计算

Assignments of the $X(4140)$, $X(4500)$, $X(4630)$ and $X(4685)$ based on the QCD sum rules

Zhi-Gang Wang

备注：: 17 pages, 2 figure
发表信息：: Adv. High Energy Phys. 2021 (2021) 4426163
DOI：: 10.1155/2021/4426163

摘要：

在本文中，我们考虑到我们以前基于QCD求和规则的计算，尝试用$J^{PC}=1^{-+}$把$X(4630)$指定为$D_s^*\bar{D}_{s1}-D_{s1}\bar{D}_s^*$四夸克分子态或$[cs]_P[\bar{c}\bar{s}]_A+[cs]_A[\bar{c}\bar{s}]_P$四夸克态，用$J^{PC}=0^{++}$把$X(3915)$和$X(4500)$分别指定为1S和2S $[cs]_A[\bar{c}\bar{s}]_A$四夸克态。然后，我们扩展了我们以前的工作，用QCD求和规则研究了LHCb的新四夸克候选体$X(4685)$作为$X(4140)$的第一径向激发态，得到了质量$M_{X}=4.70\pm0.12\,\rm{GeV}$，它与实验值$4684 \pm 7 {}^{+13}_{-16}\,\rm{MeV}$符合得很好.进一步，我们详细研究了两介子散射态的贡献，发现两介子散射态本身不能使QCD求和规则饱和，四夸克态的贡献起着不可替代的作用，无论有没有两介子散射态，我们都可以使QCD求和规则饱和.

英文摘要：

In this article, we take into account our previous calculations based on the QCD sum rules, and tentatively assign the $X(4630)$ as the $D_s^*\bar{D}_{s1}-D_{s1}\bar{D}_s^*$ tetraquark molecular state or $[cs]_P[\bar{c}\bar{s}]_A+[cs]_A[\bar{c}\bar{s}]_P$ tetraquark state with the $J^{PC}=1^{-+}$, and assign the $X(3915)$ and $X(4500)$ as the 1S and 2S $[cs]_A[\bar{c}\bar{s}]_A$ tetraquark states respectively with the $J^{PC}=0^{++}$. Then we extend our previous works to investigate the LHCb's new tetraquark candidate $X(4685)$ as the first radial excited state of the $X(4140)$ with the QCD sum rules, and obtain the mass $M_{X}=4.70\pm0.12\,\rm{GeV}$, which is in very good agreement with the experimental value $4684 \pm 7 {}^{+13}_{-16}\,\rm{MeV}$. Furthermore, we investigate the two-meson scattering state contributions in details, and observe that the two-meson scattering states alone cannot saturate the QCD sum rules, the contributions of the tetraquark states play an un-substitutable role, we can saturate the QCD sum rules with or without the two-meson scattering states.

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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英文摘要：

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