Possible Hϕ3 hypernucleus with the HAL QCD interaction

Within the framework of the Faddeev formalism in configuration space, we investigate bound states in the φNN system with total isospin $T=0$ and $T=1$. The recently proposed lattice HAL QCD φN potential in the ⁴S3/2 channel does not support either φN or φNN bound states. The HAL QCD φN potential in the ²S1/2 channel suggests the bound states for φN and φNN(S=0) systems. However, the binding energies are highly sensitive to variations of the enhancement factor β, and the φNN system is extremely strongly bound in the state $S=0$. Considering a spin-averaged potential for the state $S=1$ yields a bound state for the _φ³H ($S=1$) hypernucleus with the binding energy (BE) 14.9 MeV when β=6.9. The evaluation of the BE for the $S=1$, $T=1$ three-body state results in 5.47 MeV. Additionally, calculations using our approach confirm the bound states for the φNN ($S=2$, $T=0$ and $S=1$, $T=1$) system previously predicted with the Yukawa-type potential motivated by the QCD van der Waals attractive force, mediated by multigluon exchanges.