On a possible ^3_H hypernucleus with HAL QCD interaction

Within the framework of the Faddeev formalism in configuration space, we investigate bound states in the NN system with total isospin T=0 and T=1. The recently proposed lattice HAL QCD N potential in the ^4S₃/₂ channel does not support either N or NN bound states. The HAL QCD N potential in the ^2S₁/₂ channel suggests the bound states for N and NN (S=0) systems. However, the binding energies are highly sensitive to variations of the enhancement factor, and the NN system is extremely strongly bound in the state S=0. Considering a spin-averaged potential % (13V ₍^1/2+23V ₍^3/2) for the state S=1 yields a bound state for ³_H (S=1) hypernucleus with the binding energy (BE) 14. 9 MeV when = 6. 9. The evaluation of the BE for the S=1, T=1 three-body state results in 5. 47 MeV. %Also, We evaluated the BE for the S=1, T=1 three-body state as 5. 47 MeV. Additionally, calculations using our approach confirm the bound states for the NN (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 multi-gluon exchanges.