${}^{10}\mathrm{Be}$ and ${}^{16}\mathrm{C}$ spectroscopy has been investigated by analyzing their breakup events on ${\mathrm{CH}}_2$ and ${\mathrm{CD}}_2$ targets. Breakup fragments have been detected by means of the CHIMERA detector. In particular, we investigated cluster decays of ${}^{10}\mathrm{Be}$ in ${}^4\mathrm{He}+{}^6\mathrm{He}$ and of ${}^{16}\mathrm{C}$ in ${}^6\mathrm{He}+{}^{10}\mathrm{Be}$ and ${}^4\mathrm{He}+{}^6\mathrm{He}+{}^6\mathrm{He}$. From the relative energy analysis of breakup fragments, we investigate the spectroscopy of excited states of projectile nuclei. In the ${}^{10}\mathrm{Be}$ case we observe known states at 9.51, 10.16, 10.6, and 11.8 MeV. Further, we suggest the existence of a new state at 13.5 MeV, possibly $6^{+}$ as indicated from angular correlation analysis. The relative energy $(E_{\mathrm{rel}}+E_{\mathrm{th}})$ spectrum of ${}^{16}\mathrm{C}$, reconstructed starting from ${}^6\mathrm{He}+{}^{10}\mathrm{Be}$ correlations, shows a peak at about 20.6 MeV, probably related to the existence of an high-lying excited state. Non-vanishing yields are also seen in the triple coincidences ${}^4\mathrm{He}+{}^6\mathrm{He}+{}^6\mathrm{He}$.

• Received 16 November 2015

DOI:https://doi.org/10.1103/PhysRevC.93.024611