Study of the structure of $^{14}$O using resonant scattering

Theoretical cluster models and recent experimental work have given evidence for prominent cluster structures in the light $Z \neq N$ nucleus $^{14}$C. In $^{14}$C, the presence of additional nucleons are important for the formation of unique cluster structures. In order to extend the search for cluster structures to proton-rich nuclei, we have performed an experiment using $^{10}$C + $\alpha$ resonant scattering to probe levels in $^{14}$O, the isobaric mirror of $^{14}$C. A radioactive beam of $^{10}$C produced with the TwinSol superconducting solenoids was impinged on a He gas target provided by the the Prototype Active-Target Time Projection-Chamber. Charged-particle tracks were recorded to deduce scattering cross sections. Results of the experiment and analysis in terms of $R$-matrix will be presented as well as possible future reactions that can complement our understanding of this scattering reaction.