dorsal/arxiv
View SchemaStructure of low-lying 12C-resonances
| Authors | R. Alvarez-Rodriguez, E. Garrido, A. S. Jensen, D. V. Fedorov, H. O. U. Fynbo |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0703011 |
| URL | https://arxiv.org/abs/nucl-th/0703011 |
| DOI | 10.1140/epja/i2006-10298-x |
| Journal | European Physical Journal A 31 (2007) 303 |
Abstract
The hyperspherical adiabatic expansion is combined with complex scaling and used to calculate low-lying nuclear resonances of $^{12}$C in the $3\alpha$-model. We use Ali-Bodmer potentials and compare results for other potentials $\alpha-\alpha$ with similar $^{8}$Be-properties. A three-body potential is used to adjust the $^{12}$C-resonance positions to desired values extending the applicability of the method to many-body systems decaying into three $\alpha$-particles. For natural choices of three-body potentials we find 14 resonances below the proton separation threshold, i.e. two $0^{+}$, three $2^{+}$, two $4^{+}$, one of each of $1^{\pm}$, $2^{-}$, $3^{\pm}$, $4^{-}$, and $6^{+}$. The partial wave decomposition of each resonance is calculated as function of hyperradius. Strong variation is found from small to large distance. Connection to previous experimental and theoretical results are discussed and agreements as well as disagreements are emphasized.
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"abstract": "The hyperspherical adiabatic expansion is combined with complex scaling and\nused to calculate low-lying nuclear resonances of $^{12}$C in the\n$3\\alpha$-model. We use Ali-Bodmer potentials and compare results for other\npotentials $\\alpha-\\alpha$ with similar $^{8}$Be-properties. A three-body\npotential is used to adjust the $^{12}$C-resonance positions to desired values\nextending the applicability of the method to many-body systems decaying into\nthree $\\alpha$-particles. For natural choices of three-body potentials we find\n14 resonances below the proton separation threshold, i.e. two $0^{+}$, three\n$2^{+}$, two $4^{+}$, one of each of $1^{\\pm}$, $2^{-}$, $3^{\\pm}$, $4^{-}$,\nand $6^{+}$. The partial wave decomposition of each resonance is calculated as\nfunction of hyperradius. Strong variation is found from small to large\ndistance. Connection to previous experimental and theoretical results are\ndiscussed and agreements as well as disagreements are emphasized.",
"arxiv_id": "nucl-th/0703011",
"authors": [
"R. Alvarez-Rodriguez",
"E. Garrido",
"A. S. Jensen",
"D. V. Fedorov",
"H. O. U. Fynbo"
],
"categories": [
"nucl-th"
],
"doi": "10.1140/epja/i2006-10298-x",
"journal_ref": "European Physical Journal A 31 (2007) 303",
"title": "Structure of low-lying 12C-resonances",
"url": "https://arxiv.org/abs/nucl-th/0703011"
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