Modeling of $^6_Lambda$He hypernucleus within configuration space Faddeev approach

The cluster $^4rm He+Lambda+rm n$ model is applied to describe the $^6_Lambda$He hypernucleus. The consideration is based on the configuration space Faddeev equations for a system of non-identical particles. A set of the pair potentials includes the OBE simulating (NSC97f) model for the $Lambda rm n$ interaction and the phenomenological potentials for the $alphaLambda$ and $alpha rm n$ interactions. We calculated energies of spin (1$^-$,2$^-$) doublet. For the 2$^-$ excitation energy, the obtained value is 0.18 MeV. The hyperon binding energy of the bound 1$^-$ state is less than the experimental value, which may be an evidence for violation of the exact three-body cluster structure.