On a possible $^{3}_ϕ$H hypernucleus with HAL QCD interaction
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| Format: | Preprint |
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2024
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| _version_ | 1866911995389804544 |
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| author | Filikhin, Igor Kezerashvili, Roman Ya. Vlahovic, Branislav |
| author_facet | Filikhin, Igor Kezerashvili, Roman Ya. Vlahovic, Branislav |
| contents | Within the framework of the Faddeev formalism in configuration space, we investigate bound states in the $ϕNN$ system with total isospin $T=0$ and $T=1$. The recently proposed lattice HAL QCD $ϕN$ potential in the $^{4}S_{3/2}$ channel does not support either $ϕN$ or $ϕNN$ bound states. The HAL QCD $ϕN$ potential in the $^{2}S_{1/2}$ channel suggests the bound states for $ϕN$ and $ϕNN (S=0)$ systems. However, the binding energies are highly sensitive to variations of the enhancement factor $β$, and the $ϕNN$ system is extremely strongly bound in the state $S=0$. Considering a spin-averaged potential %$(\frac{1}{3}V_{ϕN}^{1/2}+\frac{2}{3}V_{ϕN}^{3/2})$ for the state $S=1$ yields a bound state for $^3_ϕ$H $(S=1)$ hypernucleus with the binding energy (BE) 14.9 MeV when $β= 6.9$. The evaluation of the BE for the $S=1$, $T=1$ three-body state results in 5.47 MeV. %Also, We evaluated the BE for the $S=1$, $T=1$ three-body state as 5.47 MeV. Additionally, calculations using our approach confirm the bound states for the $ϕNN$ ($S=2,T=0$ and $S=1, T=1$) system previously predicted with the Yukawa-type potential motivated by the QCD van der Waals attractive force, mediated by multi-gluon exchanges. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_12190 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a possible $^{3}_ϕ$H hypernucleus with HAL QCD interaction Filikhin, Igor Kezerashvili, Roman Ya. Vlahovic, Branislav Nuclear Theory High Energy Physics - Phenomenology Within the framework of the Faddeev formalism in configuration space, we investigate bound states in the $ϕNN$ system with total isospin $T=0$ and $T=1$. The recently proposed lattice HAL QCD $ϕN$ potential in the $^{4}S_{3/2}$ channel does not support either $ϕN$ or $ϕNN$ bound states. The HAL QCD $ϕN$ potential in the $^{2}S_{1/2}$ channel suggests the bound states for $ϕN$ and $ϕNN (S=0)$ systems. However, the binding energies are highly sensitive to variations of the enhancement factor $β$, and the $ϕNN$ system is extremely strongly bound in the state $S=0$. Considering a spin-averaged potential %$(\frac{1}{3}V_{ϕN}^{1/2}+\frac{2}{3}V_{ϕN}^{3/2})$ for the state $S=1$ yields a bound state for $^3_ϕ$H $(S=1)$ hypernucleus with the binding energy (BE) 14.9 MeV when $β= 6.9$. The evaluation of the BE for the $S=1$, $T=1$ three-body state results in 5.47 MeV. %Also, We evaluated the BE for the $S=1$, $T=1$ three-body state as 5.47 MeV. Additionally, calculations using our approach confirm the bound states for the $ϕNN$ ($S=2,T=0$ and $S=1, T=1$) system previously predicted with the Yukawa-type potential motivated by the QCD van der Waals attractive force, mediated by multi-gluon exchanges. |
| title | On a possible $^{3}_ϕ$H hypernucleus with HAL QCD interaction |
| topic | Nuclear Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2407.12190 |