The Quantum Group Theoretic Approach to Heavy-Ion Resonances

We suggest the quantum group as dynamical symmetry group of heavy-ion resonance systems. The rotation-vibrational spectra of the systems are given by the quantum groun theoretic approach without going to the detail of the bonding potential of the systems. The corresponding wave functions are obtained. Using the analytic formula of this approach, we fit the experimental data of ¹²C+¹²C and ¹²C+¹⁶O resonance systems in high accuracies. The pseudepotential is found in the quantum group symmetric model and discussed in comparison with the conventional nonlinear potential model.