Structure of low-lying 12C-resonances

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.

21 pages, 9 figures. The original publication will be available at http://www.eurphysj.org . European Physical Journal A, accepted for publication

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Cited by in corpus (28)

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• A Microscopic Cluster Description of 12C
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• Necessary conditions for accurate computations of three-body partial decay widths
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• Consistent alpha-cluster description of the 12C (0^+_2) resonance
• Study of light $\varphi$-mesic nuclei with HAL QCD $\varphi N$ interactions
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• alpha particle momentum distributions from 12C decaying resonances
• Decay of low-lying 12C resonances within a 3alpha cluster model
• Three-particle decays of light nuclei resonances
• Fusion and reactions of $\alpha$+${}^8$Be in the Hoyle resonance and associated resonances region