Possible Existence of $^3_ϕ$H, $^4_ϕ$H, $^4_ϕ$He, and $^5_ϕ$He Nuclei
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| Format: | Preprint |
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2026
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| _version_ | 1866911712257507328 |
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| author | Lazauskas, Rimantas Kezerashvili, Roman Ya. Filikhin, Igor |
| author_facet | Lazauskas, Rimantas Kezerashvili, Roman Ya. Filikhin, Igor |
| contents | Motivated by recent HAL QCD simulations of the $ϕN$ interaction in the $^4S_{3/2}$ channel and its modification in the $^2S_{1/2}$ channel, we develop a first-principles few-body framework that embeds these potentials into configuration-space Faddeev--Yakubovsky equations. We predict bound $^4_ϕ\mathrm{H}$, $^4_ϕ\mathrm{He}$, and $^5_ϕ\mathrm{He}$ nuclei by performing calculations for $ϕ$-mesic $ϕNNN$ and $ϕNNNN$ systems. Both spin-dependent and spin-independent $ϕN$ interactions are considered, leading to deeply and moderately bound states, respectively. The deeply bound states originate from the strong attraction in the $^2S_{1/2}$ $ϕN$ channel. Coulomb shifts of the binding energies are evaluated. Our findings provide the binding mechanism and demonstrate the importance of short-range $ϕN$ attraction. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_14572 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Possible Existence of $^3_ϕ$H, $^4_ϕ$H, $^4_ϕ$He, and $^5_ϕ$He Nuclei Lazauskas, Rimantas Kezerashvili, Roman Ya. Filikhin, Igor Nuclear Theory High Energy Physics - Lattice Motivated by recent HAL QCD simulations of the $ϕN$ interaction in the $^4S_{3/2}$ channel and its modification in the $^2S_{1/2}$ channel, we develop a first-principles few-body framework that embeds these potentials into configuration-space Faddeev--Yakubovsky equations. We predict bound $^4_ϕ\mathrm{H}$, $^4_ϕ\mathrm{He}$, and $^5_ϕ\mathrm{He}$ nuclei by performing calculations for $ϕ$-mesic $ϕNNN$ and $ϕNNNN$ systems. Both spin-dependent and spin-independent $ϕN$ interactions are considered, leading to deeply and moderately bound states, respectively. The deeply bound states originate from the strong attraction in the $^2S_{1/2}$ $ϕN$ channel. Coulomb shifts of the binding energies are evaluated. Our findings provide the binding mechanism and demonstrate the importance of short-range $ϕN$ attraction. |
| title | Possible Existence of $^3_ϕ$H, $^4_ϕ$H, $^4_ϕ$He, and $^5_ϕ$He Nuclei |
| topic | Nuclear Theory High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2601.14572 |