AI-Assisted analysis of ${}^{28}$Si${}^{\ast }$ $\to$ 7$\alpha$ break-up data

Abstract

Mid-weight $\alpha$-conjugate nuclei are predicted to possess exotic toroid-like resonances with high angular momenta. The search for these states in ${}^{28}$Si${}^{\ast }$ is the main point of two published experimental investigations of the peripheral ${}^{28}$Si + ${}^{12}$C reaction by Cao and collaborators and by Hannaman and collaborators. In this work, we develop a novel Artificial Intelligence (AI)-based machine learning method utilizing the Gaussian Mixture Model (GMM) to analyze available experimental and theoretical data. We additionally study the reaction with the Hybrid $\alpha$-Cluster (H$\alpha$C) model. In all the examined data our results suggest the presence of underlying structure which is close to that predicted for toroidal states.

Comments: 9 pages, 9 figures