Molecular picture for X 0(2900) and X 1(2900) Supported by the National Natural Science Foundation of China (11675228, 11775050), and the Fundamental Research Funds for the Central Universities,Chinese Physics C

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Molecular picture for X 0(2900) and X 1(2900) Supported by the National Natural Science Foundation of China (11675228, 11775050), and the Fundamental Research Funds for the Central Universities
Chinese Physics C ( IF 3.6 ) Pub Date : 2021-05-25 , DOI: 10.1088/1674-1137/abeda8
Jun He ₁ , Dian-Yong Chen ₂

Affiliation

Inspired by the newly observed $X_{0}(2900)$ and $X_1(2900)$ states at LHCb, the $K^*\bar{D}^*$ and $K\bar{D}_1$ interactions are studied in the quasipotential Bethe-Salpeter equation approach combined with the one-boson-exchange model. The bound and virtual states from the interactions are searched for as poles in the complex energy plane of scattering amplitude. A bound state with $I(J^P)=0(0^+)$ and a virtual state with $0(1^-)$ are produced from the $K^*\bar{D}^*$ interaction and $K\bar{D}_1$ interaction, and can be related to the $X_{0}(2900)$ and $X_1(2900)$ observed at LHCb, respectively. A bound state with $I(J^P)=0(1^+)$ and a virtual state with $I(J^P)=0(2^+)$ are also predicted from the $K^*\bar{D}^*$ interaction, with the same $\alpha$ value, to reproduce the $X_{0,1}(2900)$ , which can be searched for in future experiments.

中文翻译：

X ₀ (2900) 和X ₁ (2900) 的分子图国家自然科学基金(11675228、11775050)、中央高校基本科研业务费专项基金资助

受LHCb新观察到的 $X_{0}(2900)$ 和 $X_1(2900)$ 状态的启发，在准势 Bethe-Salpeter 方程方法结合单玻色子交换模型中研究了 $K^*\bar{D}^*$ 和 $K\bar{D}_1$ 相互作用。来自相互作用的束缚态和虚拟态被搜索为散射幅度的复能平面中的极点。相互作用和相互作用产生 $I(J^P)=0(0^+)$ 了束缚态和虚拟状态，并且可以分别与LHCb上的和观察到。还可以从具有相同值的交互中预测绑定状态和虚拟状态，以重现 $0(1^-)$ $K^*\bar{D}^*$ $K\bar{D}_1$ $X_{0}(2900)$ $X_1(2900)$ $I(J^P)=0(1^+)$ $I(J^P)=0(2^+)$ $K^*\bar{D}^*$ $\alpha$ $X_{0,1}(2900)$ ，可以在以后的实验中搜索。

更新日期：2021-05-25

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