Probing the three-body force in hadronic systems with specific charge parity
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910073111969792 |
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| author | Pan, Ya-Wen Liu, Ming-Zhu Geng, Li-Sheng |
| author_facet | Pan, Ya-Wen Liu, Ming-Zhu Geng, Li-Sheng |
| contents | Three-body forces, a type of non-perturbative strong interaction, are widely studied in nuclear physics. However, whether their inclusion is necessary in nuclear systems remains a topic of intense debate. In this letter, we propose that the existence of three-body forces in certain three-body hadronic systems with definite $C$-parity is certain. Such systems consist of two components whose interactions are mediated by three-body forces--a mechanism not easily realized in conventional three-nucleon systems. We investigate two specific three-body hadronic systems, $\bar{D}_sDK$ and $\bar{D}^*Dη$, using contact-range potentials. The two-body hadron-hadron interactions are constrained by reproducing their scattering lengths, while the three-body couplings are constrained by charge symmetry. Our results indicate that three-body forces play a minor role in binding the $I(J^{PC})=0(0^{--})$ $\bar{D}_sDK$ system, but a crucial one in binding the $I(J^{PC})=0(1^{-+})$ $\bar{D}^*Dη$ system. In fact, three-body forces determine whether $\bar{D} ^*Dη$ forms a bound state, making this system a promising candidate for exploring three-body forces in hadronic physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_01468 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Probing the three-body force in hadronic systems with specific charge parity Pan, Ya-Wen Liu, Ming-Zhu Geng, Li-Sheng Nuclear Theory High Energy Physics - Phenomenology Three-body forces, a type of non-perturbative strong interaction, are widely studied in nuclear physics. However, whether their inclusion is necessary in nuclear systems remains a topic of intense debate. In this letter, we propose that the existence of three-body forces in certain three-body hadronic systems with definite $C$-parity is certain. Such systems consist of two components whose interactions are mediated by three-body forces--a mechanism not easily realized in conventional three-nucleon systems. We investigate two specific three-body hadronic systems, $\bar{D}_sDK$ and $\bar{D}^*Dη$, using contact-range potentials. The two-body hadron-hadron interactions are constrained by reproducing their scattering lengths, while the three-body couplings are constrained by charge symmetry. Our results indicate that three-body forces play a minor role in binding the $I(J^{PC})=0(0^{--})$ $\bar{D}_sDK$ system, but a crucial one in binding the $I(J^{PC})=0(1^{-+})$ $\bar{D}^*Dη$ system. In fact, three-body forces determine whether $\bar{D} ^*Dη$ forms a bound state, making this system a promising candidate for exploring three-body forces in hadronic physics. |
| title | Probing the three-body force in hadronic systems with specific charge parity |
| topic | Nuclear Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2512.01468 |