Probing $NNΩ_{ccc}$ three-body systems with the modern QCD $NΩ_{ccc}$ interaction
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908824226496512 |
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| author | Etminan, Faisal Happ, Lucas |
| author_facet | Etminan, Faisal Happ, Lucas |
| contents | Newly, first-principles lattice QCD results at the physical pion mass, $ m_π\backsimeq 137.1 $ MeV, have been reported by the HAL QCD Collaboration for the S-wave interaction between the nucleon ($N$) and the triply charmed Omega baryon ($Ω_{ccc}$). The $NΩ_{ccc}$ potentials in the spin-1 $ \left(^{3}S_{1}\right) $ and spin-2 $ \left(^{5}S_{2}\right) $ channels were derived and found to be attractive, though no two-body bound state was supported in these channels.
The present work investigates the $NNΩ_{ccc}$ three-body system
using the Malfliet-Tjon $NN$ potential. Analyses of spin-1, spin-averaged, and spin-2 $NΩ_{ccc}$ channels (at Euclidean times 16, 17, 18) reveal a three-body bound state only for the d-$Ω_{ccc}$ configuration with spin $(0)1/2^{+}$ and $t/a=16$. Its binding energy ($B_3 = -2.255$ MeV) lies slightly below the deuteron's ($B_d = -2.23$ MeV).
Other parameter sets do not yield a bound state,
and complex scaling analysis indicates these configurations correspond to virtual states rather than resonances.
The Coulomb potential's role was also examined to differentiate charged states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12276 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Probing $NNΩ_{ccc}$ three-body systems with the modern QCD $NΩ_{ccc}$ interaction Etminan, Faisal Happ, Lucas Nuclear Theory High Energy Physics - Lattice Newly, first-principles lattice QCD results at the physical pion mass, $ m_π\backsimeq 137.1 $ MeV, have been reported by the HAL QCD Collaboration for the S-wave interaction between the nucleon ($N$) and the triply charmed Omega baryon ($Ω_{ccc}$). The $NΩ_{ccc}$ potentials in the spin-1 $ \left(^{3}S_{1}\right) $ and spin-2 $ \left(^{5}S_{2}\right) $ channels were derived and found to be attractive, though no two-body bound state was supported in these channels. The present work investigates the $NNΩ_{ccc}$ three-body system using the Malfliet-Tjon $NN$ potential. Analyses of spin-1, spin-averaged, and spin-2 $NΩ_{ccc}$ channels (at Euclidean times 16, 17, 18) reveal a three-body bound state only for the d-$Ω_{ccc}$ configuration with spin $(0)1/2^{+}$ and $t/a=16$. Its binding energy ($B_3 = -2.255$ MeV) lies slightly below the deuteron's ($B_d = -2.23$ MeV). Other parameter sets do not yield a bound state, and complex scaling analysis indicates these configurations correspond to virtual states rather than resonances. The Coulomb potential's role was also examined to differentiate charged states. |
| title | Probing $NNΩ_{ccc}$ three-body systems with the modern QCD $NΩ_{ccc}$ interaction |
| topic | Nuclear Theory High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2508.12276 |