Ab initio NCSM/RGM for three-body cluster systems and application to ${}^4$He+n+n

We introduce an extension of the ab initio no-core shell model/resonating group method (NCSM/RGM) in order to describe three-body cluster states. We present results for the ${}^6$He ground state within a ${}^4$He+n+n cluster basis as well as first results for the phase shifts of different channels of the ${}^4$He+n+n system which provide information about low-lying resonances of this nucleus.