Bound states of Ω baryons in light nuclei
Here, we investigate bound states of light Ω 3𝑥 clusters (𝑥=𝑠,𝑐), motivated by the Ω 3𝑠 𝑁 potential recently developed by the HAL QCD collaboration. To regularize this potential, we remove the deeply attractive core at 𝑟 < 0.4 fm and parametrize the long-range component (𝑟 > 0.4 fm) using a two-range Gaussian form. This procedure preserves the relevant two-body bound-state energy while having a negligible effect on the Ω 3𝑠 𝑁𝑁 and Ω 3𝑠 Ω 3𝑠 𝑁 systems. An effective Ω 3𝑠 𝛼 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 Ω 3𝑠 𝛼, Ω 3𝑠 𝛼𝛼, and Ω 3𝑠 Ω 3𝑠 𝛼 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 Ω 3𝑐 -cluster systems by introducing an Ω 3𝑐 𝑁 interaction, derived by comparing the existing Ω 3𝑠 Ω 3𝑠 and Ω 3𝑐 Ω 3𝑐 potentials. Our results suggest that several parametrizations predict bound states in Ω 3𝑐 -containing clusters. Finally, the Ω 3𝑠 Ω 3𝑠 interaction is described using a contactlike potential approach, motivated by the effective field theory.