Three-alpha-cluster structure of the 0^+ states in ^{12}C and the effective alpha-alpha interactions

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.

References in corpus (5)

• Alpha cluster condensation in 12C and 16O
• Variation after Angular Momentum Projection for the Study of Excited States Based on Antisymmetrized Molecular Dynamics
• Dilute Multi Alpha Cluster States in Nuclei
• The Three-Body Continuum Coulomb Problem and the 3$\alpha$ Structure of ${}^{12}$C
• Three-alpha structures in C-12

Cited by in corpus (13)

• Microscopic Clustering in Light Nuclei
• Structure of low-lying 12C-resonances
• Momentum distributions of $\alpha$-particles from decaying low-lying ${}^{12}$C-resonances
• Isoscalar monopole and dipole excitations of cluster states and giant resonances in ${}^{12}$C
• $\alpha$ scattering cross sections on ${}^{12}$C with microscopic coupled-channel calculation
• A Microscopic Cluster Description of 12C
• Calculating few-body resonances using an oscillator trap
• Cluster structures and monopole transitions of ${}^{14}$C
• Breaking and restoration of rotational symmetry in the low-energy spectrum of light alpha-conjugate nuclei on the lattice I: ${}^8\mathrm{Be}$ and ${}^{12}\mathrm{C}$
• Effective three-body interactions in the alpha-cluster model for the ^{12}C nucleus
• Effective Mass of $\alpha$-Cluster in ${}^{12}$C Nucleus
• Consistent alpha-cluster description of the 12C (0^+_2) resonance
• Magnetic dipole moments as a strong signature for $\alpha$-clustering in even-even self-conjugate nuclei