Binding Woods-Saxon potential and the mechanism of resonance states in the 12C+12C system

Full text: Since the discovery by Bromley (1960) of narrow resonances in the 12C+12C system near the Coulomb barrier, the concept of molecular resonances has become an interesting theoretical as well as experimental study in nuclear physics. Over the years an impressive array of data has been accumulated and different theoretical approaches have been developed on the basis of a diatomic molecular picture with qualitative success. The understanding of the mechanism is far from satisfactory owing to the lack of information about of nature of the binding potential which gives rise of these resonances. A very interesting resonance has been observed by Wuosmaa et al. in the inelastic channel of the 12C+12C system with both 12C excited to the famous O2+ state - a linear chain configuration of three-alpha particles. This resonance is naturally expected to have a certain structure consisting of 6α cluster. As an interesting possibility, a linear chain of six α particles was discussed earlier. On the other hand, another interpretation was proposed: the resonance has the 6α cluster configuration of weakly coupled two 12CO2+. It should noticed that there are many other resonances observed in the 12C+12C system, most of which are not yet understood. In present work the 12C+12C system are investigated in the realistic Woods-Saxon potential with Coulomb interaction. The comparison of the calculated states with experimental data has shown, that the observed resonances may be explained by the single-channel description, i.e. as potential resonance. The quadrupole moments and transition probabilities for low-laying states have been calculated