Folding procedure for $Ω$-$α$ potential
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866914561892810752 |
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| author | Filikhin, Igor Kezerashvili, Roman Ya. Vlahovic, Branislav |
| author_facet | Filikhin, Igor Kezerashvili, Roman Ya. Vlahovic, Branislav |
| contents | Using the folding procedure, we investigate the bound state of the $Ω$+$α$ system based on $Ω$-$N$ ($^{5}S_{2}$) HAL QCD potential. Previous theoretical analyses have indicated the existence of a deeply bound ground state, which is attributed to the strong $Ω$-nucleon interaction. By employing well-established parameterizations of nucleon density within the alpha particle, and the central HAL QCD $Ω$-$N$ potential, we performed numerical calculations for the folding $Ω$-$α$ potential. Our results show that the $V_{Ωα}(r)$ potential can be accurately fitted using a Woods-Saxon function, with a phenomenological parameter $R = 1.1A^{1/3} \approx 1.74$ fm ($A=4$) in the asymptotic region where $2 < r < 3$ fm. We provide a thorough description of the corresponding numerical procedure. Our evaluation of the binding energy of the $Ω$+$α$ system within the cluster model is consistent with both previous and recent reported findings. To further validate the folding procedure, we also calculated the $Ξ$-$α$ folding potential based on a simulation of the ESC08c $Y$-$N$ Nijmegen model. A comprehensive comparison between the $Ξ$-$α$ folding and $Ξ$-$ α$ phenomenological potentials is presented and discussed. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_02021 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Folding procedure for $Ω$-$α$ potential Filikhin, Igor Kezerashvili, Roman Ya. Vlahovic, Branislav Nuclear Theory High Energy Physics - Lattice Using the folding procedure, we investigate the bound state of the $Ω$+$α$ system based on $Ω$-$N$ ($^{5}S_{2}$) HAL QCD potential. Previous theoretical analyses have indicated the existence of a deeply bound ground state, which is attributed to the strong $Ω$-nucleon interaction. By employing well-established parameterizations of nucleon density within the alpha particle, and the central HAL QCD $Ω$-$N$ potential, we performed numerical calculations for the folding $Ω$-$α$ potential. Our results show that the $V_{Ωα}(r)$ potential can be accurately fitted using a Woods-Saxon function, with a phenomenological parameter $R = 1.1A^{1/3} \approx 1.74$ fm ($A=4$) in the asymptotic region where $2 < r < 3$ fm. We provide a thorough description of the corresponding numerical procedure. Our evaluation of the binding energy of the $Ω$+$α$ system within the cluster model is consistent with both previous and recent reported findings. To further validate the folding procedure, we also calculated the $Ξ$-$α$ folding potential based on a simulation of the ESC08c $Y$-$N$ Nijmegen model. A comprehensive comparison between the $Ξ$-$α$ folding and $Ξ$-$ α$ phenomenological potentials is presented and discussed. |
| title | Folding procedure for $Ω$-$α$ potential |
| topic | Nuclear Theory High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2411.02021 |