Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2004-04-07
Phys.Rev. C70 (2004) 014006
Physics
Nuclear Physics
Nuclear Theory
Scientific paper
10.1103/PhysRevC.70.014006
The $0^{+}$ states of $^{12}\mathrm{C}$ are considered within the framework of the microscopic three-$\alpha$-cluster model. The main attention is paid to accurate calculation of the width of the extremely narrow near-threshold $0^+_2$ state which plays a key role in stellar nucleosynthesis. It is shown that the $0^{+}_2$-state decays by means of the sequential mechanism ${^{12}\mathrm{C}} \to \alpha+{^8\mathrm{Be}} \to 3\alpha$. Calculations are performed for a number of effective $\alpha - \alpha$ potentials which are chosen to reproduce both energy and width of $^8\mathrm{Be}$. The parameters of the additional three-body potential are chosen to fix both the ground and excited state energies at the experimental values. The dependence of the width on the parameters of the effective $\alpha - \alpha$ potential is studied in order to impose restrictions on the potentials.
Fedotov S. I.
Kartavtsev O. I.
Kochkin V. I.
Malykh Anton V.
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