dorsal/arxiv
View SchemaThree-alpha-cluster structure of the 0^+ states in ^{12}C and the effective alpha-alpha interactions
| Authors | S. I. Fedotov, O. I. Kartavtsev, V. I. Kochkin, A. V. Malykh |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0404016 |
| URL | https://arxiv.org/abs/nucl-th/0404016 |
| DOI | 10.1103/PhysRevC.70.014006 |
| Journal | Phys.Rev. C70 (2004) 014006 |
Abstract
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.
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"abstract": "The $0^{+}$ states of $^{12}\\mathrm{C}$ are considered within the framework\nof the microscopic three-$\\alpha$-cluster model. The main attention is paid to\naccurate calculation of the width of the extremely narrow near-threshold\n$0^+_2$ state which plays a key role in stellar nucleosynthesis. It is shown\nthat the $0^{+}_2$-state decays by means of the sequential mechanism\n${^{12}\\mathrm{C}} \\to \\alpha+{^8\\mathrm{Be}} \\to 3\\alpha$. Calculations are\nperformed for a number of effective $\\alpha - \\alpha$ potentials which are\nchosen to reproduce both energy and width of $^8\\mathrm{Be}$. The parameters of\nthe additional three-body potential are chosen to fix both the ground and\nexcited state energies at the experimental values. The dependence of the width\non the parameters of the effective $\\alpha - \\alpha$ potential is studied in\norder to impose restrictions on the potentials.",
"arxiv_id": "nucl-th/0404016",
"authors": [
"S. I. Fedotov",
"O. I. Kartavtsev",
"V. I. Kochkin",
"A. V. Malykh"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.014006",
"journal_ref": "Phys.Rev. C70 (2004) 014006",
"title": "Three-alpha-cluster structure of the 0^+ states in ^{12}C and the effective alpha-alpha interactions",
"url": "https://arxiv.org/abs/nucl-th/0404016"
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