Effect of a repulsive three-body interaction on the $DD^{(*)}K$ molecule
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866929693620436992 |
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| author | Pan, Ya-Wen Lu, Jun-Xu Hiyama, Emiko Geng, Li-Sheng Hosaka, Atsushi |
| author_facet | Pan, Ya-Wen Lu, Jun-Xu Hiyama, Emiko Geng, Li-Sheng Hosaka, Atsushi |
| contents | The hadronic molecular picture of the observed exotic states has inspired numerous investigations into few-body systems. Recently, the lattice effective field theory studied the effect of a three-body interaction on the binding energy of the $DD^{*}K$ system, revealing an intriguing phenomenon in the binding energy. This work uses the Gaussian expansion method to explore the underlying physics. Our results show that as the repulsive three-body interaction strengthens, the spatial size of the $DD^{(*)}K$ bound state gradually increases. Further enhancement of the three-body interaction causes the $DD^{(*)}K$ three-body bound state to break into a $D^{(*)}K$ two-body bound state, accompanied by a distant $D$ meson. The identical nature of the two $D$ mesons leads to the fact that the $DDK$ system consistently resembles an isosceles triangle-shaped spatial configuration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_00438 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effect of a repulsive three-body interaction on the $DD^{(*)}K$ molecule Pan, Ya-Wen Lu, Jun-Xu Hiyama, Emiko Geng, Li-Sheng Hosaka, Atsushi Nuclear Theory High Energy Physics - Lattice High Energy Physics - Phenomenology The hadronic molecular picture of the observed exotic states has inspired numerous investigations into few-body systems. Recently, the lattice effective field theory studied the effect of a three-body interaction on the binding energy of the $DD^{*}K$ system, revealing an intriguing phenomenon in the binding energy. This work uses the Gaussian expansion method to explore the underlying physics. Our results show that as the repulsive three-body interaction strengthens, the spatial size of the $DD^{(*)}K$ bound state gradually increases. Further enhancement of the three-body interaction causes the $DD^{(*)}K$ three-body bound state to break into a $D^{(*)}K$ two-body bound state, accompanied by a distant $D$ meson. The identical nature of the two $D$ mesons leads to the fact that the $DDK$ system consistently resembles an isosceles triangle-shaped spatial configuration. |
| title | Effect of a repulsive three-body interaction on the $DD^{(*)}K$ molecule |
| topic | Nuclear Theory High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2502.00438 |