Exploring Efimov states in $D^*D^*D^*$ and $DD^*D^*$ three-body systems
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915334756237312 |
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| author | Fu, Hai-Long Lin, Yong-Hui Guo, Feng-Kun Hammer, Hans-Werner Meißner, Ulf-G. Rusetsky, Akaki Zhang, Xu |
| author_facet | Fu, Hai-Long Lin, Yong-Hui Guo, Feng-Kun Hammer, Hans-Werner Meißner, Ulf-G. Rusetsky, Akaki Zhang, Xu |
| contents | The Efimov effect is an intriguing three-body quantum phenomenon. Searching for Efimov states within the realms of nuclear and hadronic physics presents a challenge due to the inherent inability of natural physical systems to exhibit adjustable two-body scattering lengths. In this study, we examine the potential existence of Efimov states in the $D^*D^*D^*$ and $DD^*D^*$ three-hadron systems. Utilizing a pionless effective field theory framework, we determine that the presence of Efimov states in the spectrum of the $D^*D^*D^*$ system is contingent upon the existence of an $(I,J)=(1,2)$ $D^*D^*$ two-body bound system. If only the $T_{cc}^+$ and its heavy quark spin partner $T_{cc}^{*+}$ exist while there is no near-threshold pole in all other $S$-wave $D^{(*)}D^*$ scattering amplitudes, no Efimov effect is expected in the $D^{(*)}D^*D^*$ systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_19709 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exploring Efimov states in $D^*D^*D^*$ and $DD^*D^*$ three-body systems Fu, Hai-Long Lin, Yong-Hui Guo, Feng-Kun Hammer, Hans-Werner Meißner, Ulf-G. Rusetsky, Akaki Zhang, Xu High Energy Physics - Phenomenology Nuclear Theory The Efimov effect is an intriguing three-body quantum phenomenon. Searching for Efimov states within the realms of nuclear and hadronic physics presents a challenge due to the inherent inability of natural physical systems to exhibit adjustable two-body scattering lengths. In this study, we examine the potential existence of Efimov states in the $D^*D^*D^*$ and $DD^*D^*$ three-hadron systems. Utilizing a pionless effective field theory framework, we determine that the presence of Efimov states in the spectrum of the $D^*D^*D^*$ system is contingent upon the existence of an $(I,J)=(1,2)$ $D^*D^*$ two-body bound system. If only the $T_{cc}^+$ and its heavy quark spin partner $T_{cc}^{*+}$ exist while there is no near-threshold pole in all other $S$-wave $D^{(*)}D^*$ scattering amplitudes, no Efimov effect is expected in the $D^{(*)}D^*D^*$ systems. |
| title | Exploring Efimov states in $D^*D^*D^*$ and $DD^*D^*$ three-body systems |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2503.19709 |