Spin Quantization in Heavy Ion Collision

We analyzed recent experimental data on the disassembly of ${}^{28}$Si into 7$\alpha$ in terms of a hybrid $\alpha$-cluster model. We calculated the probability of breaking into several $\alpha$-like fragments for high $l$-spin values for identical and non-identical spin zero nuclei. Resonant energies were found for each $l$-value and compared to the data and other theoretical models. Toroidal-like structures were revealed in coordinate and momentum space when averaging over many events at high $l$. The transition from quantum to classical mechanics is highlighted.