We investigate bound states of light ${\mathrm{\Omega }}_{3x}$ clusters $(x=s,c)$, motivated by the ${\mathrm{\Omega }}_{3s}N$ potential recently developed by the HAL QCD collaboration. To regularize this potential, we remove the deeply attractive core at $r<0.4\mathrm{fm}$ and parametrize the long-range component $(r>0.4\mathrm{fm})$ using a two-range Gaussian form. This procedure preserves the relevant two-body bound-state energy while having a negligible effect on the ${\mathrm{\Omega }}_{3s}NN$ and ${\mathrm{\Omega }}_{3s}{\mathrm{\Omega }}_{3s}N$ systems. An effective ${\mathrm{\Omega }}_{3s}\alpha$ potential is then constructed by fitting a two-range Gaussian function to the long-range component of the folding potential, enabling calculations of the bound-state energies of the ${\mathrm{\Omega }}_{3s}\alpha$, ${\mathrm{\Omega }}_{3s}\alpha \alpha$, and ${\mathrm{\Omega }}_{3s}{\mathrm{\Omega }}_{3s}\alpha$ systems. The regularization procedure leads to a substantial reduction in bound-state energies compared to those obtained with the original potential. We further extend the analysis to ${\mathrm{\Omega }}_{3c}$-cluster systems by introducing an ${\mathrm{\Omega }}_{3c}N$ interaction, derived by comparing the existing ${\mathrm{\Omega }}_{3s}{\mathrm{\Omega }}_{3s}$ and ${\mathrm{\Omega }}_{3c}{\mathrm{\Omega }}_{3c}$ potentials. Our results suggest that several parametrizations predict bound states in ${\mathrm{\Omega }}_{3c}$-containing clusters. Finally, the ${\mathrm{\Omega }}_{3s}{\mathrm{\Omega }}_{3s}$ interaction is described using a contactlike potential approach, motivated by the effective field theory.

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• Binding energy & masses
• Few-body systems
• Hypernuclei & mesic nuclei
• Nuclear forces
• Nuclear structure & decays
• Particle interactions