Three-body Faddeev calculations for _(ΛΛ)^(6)He and _(ΩΩ)^(6)He hypernuclei

We study the ground-state properties of the _(YY)^(6)He double hyperon for _(ΛΛ)^(6)He and _(ΩΩ)^(6)He nuclei in a threebody model(Y+Y+α).We solve two coupled Faddeev equations corresponding to the three-body configurations(αY,Y)and(YY,α)in configuration space with the hyperspherical harmonics expansion method by employing the most recent hyperon-hyperon interactions obtained from lattice QCD simulations.Our numerical analysis for _(ΛΛ)^(6)He,using threeΛΛlattice interaction models,leads to a ground state binding energy in the(-7.468,-7.804)MeV domain and the separations <r_(Λ-Λ)>and <r_(α-Λ)>in the domains of(3.555,3.629)fm and(2.867,2.902)fm,respectively.The binding energy of the double-Ω hypenucleus _(ΩΩ)^(6)He leads to -67.21 MeV and consequently to smaller separations <r_(Ω-Ω)>=1.521 fm and <r_(α-Ω)>=1.293 fm.In addition to geometrical properties,we study the structure of ground-state wave functions and show that the main contributions are from the s-wave channels.Our results are consistent with the existing theoretical and experimental data.