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arXiv 2008.07959hep-phhep-ex
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$\bar{D}^{*}K^{*}$分子的强衰变和新观测到的$X_{0,1}$态

Strong decays of $\bar{D}^{*}K^{*}$ molecules and the newly observed $X_{0,1}$ states

Yin Huang, Jun-Xu Lu, Ju-Jun Xie, Li-Sheng Geng

摘要:

最近,LHCb协作组报告了在$B^+\rightarrow D^+D^- K^+$衰变中发现的两个新状态,即,$X_0(2866)$和$X_1(2904)$。在本工作中,我们研究了这些状态是否可以理解为$D^*\bar{K}^*$分子的角度来看,他们的两个身体强衰变到$D^-K^+$通过三角图和三体衰变到$D^*\bar{K}π$。这两个态与$D^*\bar{K}^*$的耦合是由温伯格复合条件确定的,而其他相关的耦合是众所周知的。所获得的强衰减宽度的$X_0(2866)$,在边际协议的模型的不确定性内的实验值,暗示在一个大的$D^*\bar{K}^*$组件在其波函数。另一方面,$X_1(2904)$的强衰变宽度比实验对应物小得多,有效地排除了它作为$D^*\bar{K}^*$分子的归属。

英文摘要:

Lately, the LHCb Collaboration reported the discovery of two new states in the $B^+\rightarrow D^+D^- K^+$ decay, i.e., $X_0(2866)$ and $X_1(2904)$. In the present work, we study whether these states can be understood as $D^*\bar{K}^*$ molecules from the perspective of their two-body strong decays into $D^-K^+$ via triangle diagrams and three-body decays into $D^*\bar{K}π$. The coupling of the two states to $D^*\bar{K}^*$ are determined from the Weinberg compositeness condition, while the other relevant couplings are well known. The obtained strong decay width for the $X_0(2866)$, in marginal agreement with the experimental value within the uncertainty of the model, hints at a large $D^*\bar{K}^*$ component in its wave function. On the other hand, the strong decay width for the $X_1(2904)$, much smaller than its experimental counterpart, effectively rules out its assignment as a $D^*\bar{K}^*$ molecule.

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