Study of cluster structures in $^{10}$Be and $^{16}$C neutron-rich nuclei via break-up reactions

International audience; Projectile break-up reactions induced on polyethylene (CH_2) target are used in order to study the spectroscopy of ^10Be and ^16C nuclei. For the present experiment we used ^10Be and ^16C beams delivered by the FRIBs facility at INFN-LNS, and the CHIMERA 4pi multi-detector. ^10Be and ^16C structures are studied via a relative energy analysis of break-up fragments. The ^4He+^6He break-up channel allowed us to study the spectroscopy of ^10Be; in particular we find evidence of a new state in ^10Be at 13.5 MeV excitation energy. The ^16C nucleus is studied via ^6He-^10Be correlation; we find the fingerprint of a possiblestate at about 20.6 MeV