Abstract
We analyzed recent experimental data on the disassembly of 28Si into 7α in terms of a hybrid α-cluster model. We calculated the probability of breaking into several α-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.
Highlights
Recent experimental data [1] have shown evidence of resonances in the disassembly of the 28Si nucleus into 7α
This means that a proper description of the nuclear ground state must be done in terms of nucleonic degrees of freedom with the possibility that expanding nuclei coalesce into α-clusters
We have found preferential values of the excitation energies for each l-value and larger and larger variances in the energy distribution due to the fluctuations in the initial conditions, which are classical in origin
Summary
Recent experimental data [1] have shown evidence of resonances in the disassembly of the 28Si nucleus into 7α. The data show to a high degree of confidence some structures at excitation energies 114, 126 and 138 MeV, respectively, close to the predicted toroidal state at 143 MeV [12] These encouraging results call for more experimental and theoretical efforts to uncover these resonances for different nuclei, different disassembly routes and as a function of excitation energy. Hybrid models may help in overcoming numerical problems at the expense of some physical insights [23] It was observed already in the 1930s that α-like nuclei (12C, 16O,...) [24,25,26,27,28,29] display many properties that can be explained by assuming that those nuclei are made of α particles with no internal structure. Due to its simplicity and numerical affordability, we can make prediction to be tested in future experiments
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