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

References in corpus (1)

• Efimov effect in nuclear three-body resonance decays

Cited by in corpus (10)

• Light Nuclei of Even Mass Number in the Skyrme Model
• Distinction between sequential and direct three-body decays
• Momentum distributions of $\alpha$-particles from decaying low-lying ${}^{12}$C-resonances
• Energy distributions from three-body decaying many-body resonances
• Selective population and neutron decay of the first excited state of semi-magic O-23
• Necessary conditions for accurate computations of three-body partial decay widths
• Cluster sum rules for three-body systems with angular-momentum dependent interactions
• Triple charged-particle decays of resonances illustrated by 12C-states
• Decay of low-lying 12C resonances within a 3alpha cluster model
• alpha particle momentum distributions from 12C decaying resonances