Ω NN and Ω Ωn states

The lattice QCD analysis of the HAL QCD Collaboration has recently derived ΩN and ΩΩ interacting potentials with nearly physical quark masses (mπ≃146 MeV and mK≃525 MeV). They found an attractive interaction in the ΩNS25 channel which supports a bound state with a central binding energy of 1.54 MeV. The ΩΩS01 channel shows an overall attraction with a bound state with a central binding energy of 1.6 MeV. In this paper we looked closely at the ΩNN and ΩΩN three-body systems making use of the latest HAL QCD Collaboration ΩN and ΩΩ interactions. Our results show that the Ωd system in the state with maximal spin (I)JP=(0)5/2+ is bound with a binding energy of about 20 MeV. The (I)JP=(1)3/2+Ωnn state presents a resonance decaying to ΛΞn and ΣΞn, with a separation energy of ∼1 MeV. The (I)JP=(1/2)1/2+ΩΩN state also exhibits a resonance decaying to ΛΞΩ and ΣΞΩ with a separation energy of ∼4.6 MeV. We have calculated the contribution of the Coulomb potential to differentiate among the different charged states.