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Within the framework of the Faddeev formalism in configuration space, we investigate bound states in the system with total isospin T=0 and T=1. The recently proposed lattice HAL QCD potential in the ^{4S}₃/₂ channel does not support either or bound states. The HAL QCD potential in the ^{2S}₁/₂ channel suggests the bound states for and (S=0) systems. However, the binding energies are highly sensitive to variations of the enhancement factor, and the 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 _^3H (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. Additionally, calculations using our approach confirm the bound states for the (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.
Filikhin et al. (Tue,) studied this question.
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