A cluster calculation for [sup.6]He spectrum

The [sup.6]He nucleus is considered as the cluster α + n + n system. The excitation energies of the low-lying levels are calculated using the configuration-space Faddeev equations. The analytical continuation method in a coupling constant is applied for calculation of resonance parameters. The αn interaction is constructed to reproduce the results of R-matrix analysis for αn-scattering data. A realistic AV14 potential describes the nn interaction. Additional three-body potential adjusted by the ground state energy of [sup.6]He is used. The energies of the low-lying resonances of [sup.6]He ([0.sup.+.sub.1], [0.sup.+.sub.2], [2.sup.+.sub.1]) are reasonably reproduced by the calculations.