Bound states of $^{9}_ϕ$Be and $^{6}_{ϕϕ}$He nuclei with $ϕ$+$α$+$α$ and $ϕ$+$ϕ$+$α$ cluster models
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911017247703040 |
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| author | Filikhin, Igor Kezerashvili, Roman Ya. Vlahovic, Branislav |
| author_facet | Filikhin, Igor Kezerashvili, Roman Ya. Vlahovic, Branislav |
| contents | We investigate the $^{9}_ϕ$Be and $^{6}_{ϕϕ}$He $ϕ$ mesic nuclei within the framework of the three-body cluster model as the $ϕ$+$α$+$α$ and $ϕ$+$ϕ$+$α$ systems, using the Faddeev formalism in configuration space. The $ϕ$-$α$ potential is determined through a folding procedure of the HAL QCD $ϕ$-$N$ interaction in the $^4S_{3/2}$ channel with the matter distribution of $^4$He. The phenomenological $α$-$α$ and $ϕ$-$ϕ$ potentials are taken from the literature. Additionally, we construct a Wood-Saxon (WS) type interaction to simulate the $ϕ$-$α$ potential, also taken from the literature, based on an effective Lagrangian approach that includes $K\bar{K}$ meson loops in the $ϕ$-meson self-energy. A comparison of binding energies obtained for both types of the $ϕ$-$α$ interactions reveals qualitative agreement. %between the obtained approaches. We predict the binding energy for the $^{9}_ϕ$Be and $^{6}_{ϕϕ}$He $ϕ$ mesic nuclei as the mirror $ϕ$+$α$+$α$ and $ϕ$+$ϕ$+$α$ systems in the range of 1-11 MeV and 3-10 MeV, respectively. The range of values of the binding energies relies on the choice of the WS $ϕ$-$α$ interaction parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13415 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bound states of $^{9}_ϕ$Be and $^{6}_{ϕϕ}$He nuclei with $ϕ$+$α$+$α$ and $ϕ$+$ϕ$+$α$ cluster models Filikhin, Igor Kezerashvili, Roman Ya. Vlahovic, Branislav Nuclear Theory We investigate the $^{9}_ϕ$Be and $^{6}_{ϕϕ}$He $ϕ$ mesic nuclei within the framework of the three-body cluster model as the $ϕ$+$α$+$α$ and $ϕ$+$ϕ$+$α$ systems, using the Faddeev formalism in configuration space. The $ϕ$-$α$ potential is determined through a folding procedure of the HAL QCD $ϕ$-$N$ interaction in the $^4S_{3/2}$ channel with the matter distribution of $^4$He. The phenomenological $α$-$α$ and $ϕ$-$ϕ$ potentials are taken from the literature. Additionally, we construct a Wood-Saxon (WS) type interaction to simulate the $ϕ$-$α$ potential, also taken from the literature, based on an effective Lagrangian approach that includes $K\bar{K}$ meson loops in the $ϕ$-meson self-energy. A comparison of binding energies obtained for both types of the $ϕ$-$α$ interactions reveals qualitative agreement. %between the obtained approaches. We predict the binding energy for the $^{9}_ϕ$Be and $^{6}_{ϕϕ}$He $ϕ$ mesic nuclei as the mirror $ϕ$+$α$+$α$ and $ϕ$+$ϕ$+$α$ systems in the range of 1-11 MeV and 3-10 MeV, respectively. The range of values of the binding energies relies on the choice of the WS $ϕ$-$α$ interaction parameters. |
| title | Bound states of $^{9}_ϕ$Be and $^{6}_{ϕϕ}$He nuclei with $ϕ$+$α$+$α$ and $ϕ$+$ϕ$+$α$ cluster models |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2408.13415 |