Multichannel dynamical symmetry and heavy ion resonances

The concept of the multichannel dynamical symmetry is introduced. This symmetry may show up in an atomic nucleus due to its different cluster configurations, and connects the interactions of distinct reaction channels. The correlated distribution of different cluster states at low and high energies can serve as a signature of it. An application of the ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$ nucelus is performed in terms of the ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$+α and ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$${+}^{16}$O fragmentations.