Three-body resonances of $ααM$ clusters ($M=ϕ$, $J/ψ$, $η_c$) in $^{8}_{M}{\mathrm{Be}}$ nuclei
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912848051961856 |
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| author | Zhou, Hao Liu, Xiang |
| author_facet | Zhou, Hao Liu, Xiang |
| contents | Motivated by the recently obtained HAL QCD potentials for the $N$-$ϕ$, $N$-$J/ψ$, and $N$-$η_c$ interactions, we investigate the structure of the exotic nuclei $^{8}_ϕ{\text{Be}}$, $^{8}_{J/ψ}{\text{Be}}$, and $^{8}_{η_c}{\text{Be}}$ as $α+α+M$ three-body systems ($M$ denotes the meson). The bound and resonant states are calculated consistently using the Gaussian expansion method, with resonances identified via the complex scaling method. For the $αϕ$ and $α$-charmonium interactions, a folding potential is constructed based on the HAL QCD potentials and fitted to a Woods-Saxon form. We find that the $ϕ$ meson exhibits a strong ``glue-like" effect, binding the $0^+_1$, $2^+_1$, and $4^+_1$ resonant states of $^8$Be into stable states and significantly reducing the $α$-$α$ distance. In contrast, the interactions of $J/ψ$ and $η_c$ with the nucleus are weaker, forming only shallow bound states with the $0^+_1$ state of $^8$Be and even increasing the $α$-$α$ separation. Notably, our analysis predicts weakly bound $α$-$J/ψ$ states in the $^4S_{3/2}$ and $^2S_{1/2}$ channels, a result not reported in prior studies, which suggests that $^{8}_{J/ψ}{\text{Be}}$ may not be a Borromean nucleus. The sensitivity of the $^{8}_{M}{\mathrm{Be}}(4^+_1)$ state-transitioning from bound to resonant depending on the $α$-particle radius-highlights the subtle dynamics at play. These results provide a systematic theoretical comparison of how different vector mesons modify nuclear clustering, offering critical predictions for future experimental searches of such exotic hadron-nucleus systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_10695 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Three-body resonances of $ααM$ clusters ($M=ϕ$, $J/ψ$, $η_c$) in $^{8}_{M}{\mathrm{Be}}$ nuclei Zhou, Hao Liu, Xiang High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory Motivated by the recently obtained HAL QCD potentials for the $N$-$ϕ$, $N$-$J/ψ$, and $N$-$η_c$ interactions, we investigate the structure of the exotic nuclei $^{8}_ϕ{\text{Be}}$, $^{8}_{J/ψ}{\text{Be}}$, and $^{8}_{η_c}{\text{Be}}$ as $α+α+M$ three-body systems ($M$ denotes the meson). The bound and resonant states are calculated consistently using the Gaussian expansion method, with resonances identified via the complex scaling method. For the $αϕ$ and $α$-charmonium interactions, a folding potential is constructed based on the HAL QCD potentials and fitted to a Woods-Saxon form. We find that the $ϕ$ meson exhibits a strong ``glue-like" effect, binding the $0^+_1$, $2^+_1$, and $4^+_1$ resonant states of $^8$Be into stable states and significantly reducing the $α$-$α$ distance. In contrast, the interactions of $J/ψ$ and $η_c$ with the nucleus are weaker, forming only shallow bound states with the $0^+_1$ state of $^8$Be and even increasing the $α$-$α$ separation. Notably, our analysis predicts weakly bound $α$-$J/ψ$ states in the $^4S_{3/2}$ and $^2S_{1/2}$ channels, a result not reported in prior studies, which suggests that $^{8}_{J/ψ}{\text{Be}}$ may not be a Borromean nucleus. The sensitivity of the $^{8}_{M}{\mathrm{Be}}(4^+_1)$ state-transitioning from bound to resonant depending on the $α$-particle radius-highlights the subtle dynamics at play. These results provide a systematic theoretical comparison of how different vector mesons modify nuclear clustering, offering critical predictions for future experimental searches of such exotic hadron-nucleus systems. |
| title | Three-body resonances of $ααM$ clusters ($M=ϕ$, $J/ψ$, $η_c$) in $^{8}_{M}{\mathrm{Be}}$ nuclei |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2512.10695 |