Abstract

Resonances observed in the 12 C + 12 C collisions are studied with a molecular model. At high spins J = 10–18, a stable dinuclear configuration is found to be an equator-equator touching one. Firstly, normal modes have been solved around the equilibrium, with spin J and K -quantum number being specified for rotation of the whole system. Secondly, with respect to large centrifugal energy, Coriolis coupling has been diagonalized among low-lying 11 states of normal-mode excitations, which brings K -mixing. The analyses of decay widths and excitation functions have been done. The molecular ground state exhibits alignments of the orbital angular momentum and the 12 C spins, while some of the molecular excited states exhibit disalignments with small widths. Those results are surprisingly in good agreement with the experiments, which will light up a new physical picture of the highspin 12 C + 12 C resonances.

Highlights

  • Well above the Coulomb barrier of the 12C+12C system, series of resonances have been found with high spins over 10h, which exhibit prominent peaks in the elastic and inelastic 2+ channels [1]

  • For the oblate-oblate systems such as 28Si − 28Si and 12C − 12C, the stable configurations with axial asymmetry 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

  • Dinuclear molecular model has been applied to high-spin resonances of the 12C + 12C system

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Summary

Introduction

Well above the Coulomb barrier of the 12C+12C system, series of resonances have been found with high spins over 10h, which exhibit prominent peaks in the elastic and inelastic 2+ channels [1]. For the oblate-oblate systems such as 28Si − 28Si and 12C − 12C, the stable configurations with axial asymmetry 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 are expected to have an interesting property of spin disalignments with the orbital angular momentum in contrast to the alignments in BCM. A chain coupling of Coriolis is expected to connect the K = 2 and K = 4 states with the elastic channel, which gives rise to intermediate structures comparable to the observation

Dynamical aspect and normal modes
KŦmixed Solution
Molecular spectrum and excitation functions
Elastic channel
Conclusions

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