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arXiv 2409.06409hep-phnucl-th
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负有效力程对$D\ar{D}^*$相互作用及$X(3872)$本质的影响

Implication of a negative effective range on the $D\bar{D}^*$ interaction and the nature of $X(3872)$

Yi-Bo Shen, Ming-Zhu Liu, Zhi-Wei Liu, Li-Sheng Geng

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6 pages, 4 figures; Comments and suggestions are welcome
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AI总结：

本研究利用可同时再现$X(3872)$结合能与负有效力程的$D\ar{D}^*$有效场论，证明负有效力程并不排斥其分子态解释。

摘要：

近期一项对LHCb数据的分析[Phys. Rev. D 105 (2022) L031503]得到了$X(3872)$具有相当大的负有效力程。这引发了关于$X(3872)$是否可被视为$D\ar{D}^*$分子态的热烈讨论。本工作通过采用一种$D\ar{D}^*$相互作用的有效场论表述，明确证明$X(3872)$的负有效力程与分子图像并不矛盾，该表述能够同时再现$X(3872)$的结合能和有效力程。我们详细阐述了$X(3872)$的大负有效力程和小结合能对潜在$D\ar{D}^*$相互作用的影响。这些结果与更好地理解强子分子及其结合机制相关。

英文摘要：

A recent analysis of the LHCb data [Phys. Rev. D 105 (2022) L031503] obtained a sizable negative effective range for the $X(3872)$. This has attracted intensive discussions on whether $X(3872)$ can be deemed as a $D\bar{D}^*$ molecular state. This work explicitly demonstrates that the negative effective range of the $X(3872)$ does not contradict the molecular picture, adopting an effective field theory formulation of the $D\bar{D}^*$ interaction that can simultaneously reproduce the binding energy and effective range of the $X(3872)$. We elaborate on the implications of the large negative effective range of $X(3872)$ and the small binding energy on the underlying $D\bar{D}^*$ interaction. Such results are relevant for a better understanding of hadronic molecules and their binding mechanism.

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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