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We extend the recently proposed ab initio no-core shell model with continuumto include three-nucleon (3N) interactions beyond the few-body domain. Theextended approach allows for the assessment of effects of continuum degrees offreedom as well as of the 3N force in ab initio calculations of structure andreaction observables of p- and lower-sd-shell nuclei. As first application weconcentrate on energy levels of the 9Be system for which all excited states lieabove the n-8Be threshold. For all energy levels, the inclusion of thecontinuum significantly improves the agreement with experiment, which was anissue in standard no-core shell model calculations. Furthermore, we find theproper treatment of the continuum indispensable for reliable statements aboutthe quality of the adopted 3N interaction from chiral effective field theory.In particular, we find the 1/2+ resonance energy, which is of astrophysicalinterest, in good agreement with experiment.

Continuum and Three-Nucleon Force Effects on 9Be Energy Levels