Some recent developments in the description of light-nuclei reactions within the NCSM/RGM approach

The fundamental description of both structural properties and reactions of light-nuclei based on nucleon-nucleon and three-nucleon forces derived from first principles is a standing goal in nuclear physics. The {\it ab initio} no-core shell model when combined with the resonating-group method (NCSM/RGM) [1,2] is capable of describing simultaneously both bound and scattering states in light nuclei, and has already produced promising results starting from a two-body Hamiltonian. Using similarity-renormalization-group evolved two- and three-nucleon interactions [3,4], I will present the first applications to light nuclei binary scattering processes when accounting for the chiral two- plus three-nucleon interaction versus the chiral two-nucleon interaction. Finally, I will outline the progress toward the treatment of three-body clusters within our formalism.\\ \,[1] S. Quaglioni and P. Navr\'atil, PRL {\bf 101}, 092501 (2008); PRC {\bf 79}, 044606 (2009). [2] P. Navr\'atil and S. Quaglioni, PRC {\bf 83}, 044609 (2011). [3] E. Jurgenson, P. Navr\'atil and R. J. Furnstahl, PRC {\bf 83}, 034301 (2011). [4] R. Roth, J. Langhammer, A. Calci, S. Binder, and P. Navr\'atil, PRL {\bf 107}, 072501 (2011).