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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.06409 |
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| _version_ | 1866913495775182848 |
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| author | Shen, Yi-Bo Liu, Ming-Zhu Liu, Zhi-Wei Geng, Li-Sheng |
| author_facet | Shen, Yi-Bo Liu, Ming-Zhu Liu, Zhi-Wei Geng, Li-Sheng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06409 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Implication of a negative effective range on the $D\bar{D}^*$ interaction and the nature of $X(3872)$ Shen, Yi-Bo Liu, Ming-Zhu Liu, Zhi-Wei Geng, Li-Sheng High Energy Physics - Phenomenology Nuclear Theory 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. |
| title | Implication of a negative effective range on the $D\bar{D}^*$ interaction and the nature of $X(3872)$ |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2409.06409 |