The lattice QCD-motivated strong attractive ΩN potential in the Ω^-np system

Within the framework of the Faddeev equations in configuration space, we examine the Ω^-np system, employing a strongly attractive lattice HAL QCD ΩN potential and the Yukawa-type ΩN potential based on a baryon-baryon interaction model with meson exchanges. Both interactions indicate the existence of ΩN(5/2⁺) bound state.

Our formalism incorporates the attractive Coulomb force between the Ω^- and proton, treating the system as three non-identical particle pairs (the ABC model). In this study, we assess the impact of the Coulomb interaction on the system and compare our results with recent ΩNN (AAC model) calculations, obtained using various approaches. The ABC model yields low-energy characteristics for the ΩNN system that differ from those in previous calculations.

The Coulomb potential has a marginal perturbative effect on the AAC system, shifting the three-body binding energy by the Coulomb energy of the two-body BC subsystem, but only slightly deviating the spatial configuration from isosceles triangle symmetry. The comparison of the results obtained with the HAL QCD and Yukawa-type ΩN potentials show significant differences for low-energy characteristics. Thus, the low-energy parameters of Ω^-np system are very sensitive to the form of the ΩN potential. The strong ΩN interaction primarily drives these effects. We demonstrate that the large binding energy of the Ω^-np system arises from the short-range behavior of the ΩN potentials [1].

[1] I. Filikhin, R. Ya. Kezerashvili, B. Vlahovic, Phys. Rev. D 111, 114518 (2025).