On $Ω_{3c}NN$ and $Ω_{3c} Ω_{3c} N$ systems with HAL QCD potentials
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908515028697088 |
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| author | Filikhin, Igor Kezerashvili, Roman Ya. Vlahovic, Branislav |
| author_facet | Filikhin, Igor Kezerashvili, Roman Ya. Vlahovic, Branislav |
| contents | This study employs the Faddeev formalism in configuration space to investigate the $Ω_{3c}NN$ cluster containing a triply charmed Omega baryon ($Ω_{3c}$). Using the recently reported HAL QCD $S$-wave $Ω_{3c}N$ potentials in the $^3S_1$ and $^5S_2$ channels, together with the MT-I--III nucleon--nucleon potential and neglecting the Coulomb force, we find no bound state for the $Ω_{3c}np$ system. We predict near-threshold resonances in the $J^π=5/2^{+}$ (maximal total spin) and $J^π=1/2^{+}$ (minimal total spin) states, with resonance energies of $1.1~\mathrm{MeV}$ below and $0.0~\mathrm{MeV}$ at the three-body breakup threshold, respectively, at Euclidean time $t/a = 16$. A similar analysis of the $Ω_{3c}Ω_{3c}N$ system likewise reveals no bound states, though a possible resonance is indicated. The short-distance behavior of the HAL QCD $Ω_{3c}N$ potential is also discussed. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_01902 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On $Ω_{3c}NN$ and $Ω_{3c} Ω_{3c} N$ systems with HAL QCD potentials Filikhin, Igor Kezerashvili, Roman Ya. Vlahovic, Branislav Nuclear Theory High Energy Physics - Lattice This study employs the Faddeev formalism in configuration space to investigate the $Ω_{3c}NN$ cluster containing a triply charmed Omega baryon ($Ω_{3c}$). Using the recently reported HAL QCD $S$-wave $Ω_{3c}N$ potentials in the $^3S_1$ and $^5S_2$ channels, together with the MT-I--III nucleon--nucleon potential and neglecting the Coulomb force, we find no bound state for the $Ω_{3c}np$ system. We predict near-threshold resonances in the $J^π=5/2^{+}$ (maximal total spin) and $J^π=1/2^{+}$ (minimal total spin) states, with resonance energies of $1.1~\mathrm{MeV}$ below and $0.0~\mathrm{MeV}$ at the three-body breakup threshold, respectively, at Euclidean time $t/a = 16$. A similar analysis of the $Ω_{3c}Ω_{3c}N$ system likewise reveals no bound states, though a possible resonance is indicated. The short-distance behavior of the HAL QCD $Ω_{3c}N$ potential is also discussed. |
| title | On $Ω_{3c}NN$ and $Ω_{3c} Ω_{3c} N$ systems with HAL QCD potentials |
| topic | Nuclear Theory High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2509.01902 |