Abstract. Resonances observed in the 12 C + 12 C collisions are studied by the molecular model. Firstly, normal-modes analysis made around the equilibrium equator-equator touching configuration gives a basic insight into dynamics of the system. The quantum numbers of the states also indicate rotational motions of the constituent 12 C nuclei, which relate the normal modes to the corresponding inelastic 12 C + 12 C channels. Next, low-lying 11 states are taken up as bases, and Coriolis coupling has been diagonalized. Many excited states are obtained with intermediate widths, which is just in accord with the experimental observation. For example, the second and third excited states have characteristic feature as low-lying mutual 2 + excitation with the spin vectors of 12 C nuclei along the molecular z ′ -axis. Those states appear very close to the molecular ground state with the higher spin of ∆J = 2, to form a bunch. Resultant excitation functions are surprisingly in good agreement with the experiments, which lights up a new physical picture of molecular structures of the high-spin 12 C + 12 C resonances.
IntroductionWell above the Coulomb barrier of the 12 C + 12 C system, series of resonances have been found with high spins over 10h, which exhibit prominent peaks in the elastic and inelastic 2 + channels [1]. Band Crossing Model (BCM), based on the double resonance mechanism, has successfully explained resonance mechanism with the aligned configurations of the orbital angular momentum and the spins of the excited states of 12 C nuclei [2]. We have revisited the resonances with the new molecular model [3,4], which has been developed for the analyses of the high-spin resonances observed in 24 Mg + 24 Mg and 28 Si + 28 Si. The model has an advantage to describe various geometrical configurations of two constituent deformed nuclei with the method of normal modes around the stable energy minimum under strong nucleus-nucleus interaction, which gives intuitive understanding on nuclear structure of the resonances. For the oblate-oblate systems such as 28 Si − 28 Si and 12 C − 12 C, the stable configurations have a small axial asymmetry as a whole and thus exhibit a series of low-lying excited states with K = 2 or 4, in which spins of the constituent nuclei incline to the molecular z ′ -axis. Those states naturally have an interesting property of spin disalignments with the orbital angular momentum, which is contrary to the alignments in BCM. How to resolve an apparent contradiction?In rotating systems, Coriolis coupling plays an important role in optimization of the centrifugal energy. Actually, a diagonalization of the coupling has resulted in an admixture of the K = 1 configuration in the molecular ground state and thus the state has aligned components similar to those of BCM [5]. Furthermore, interesting is that the K = 2 and K = 4 states are expected to be also observed through a weak coupling to the elastic channel caused by chains