A Microscopic Cluster Description of 12C

Abstract

We investigate both bound and resonance states in 12C embedded in a three-α-cluster continuum using two distinct three-cluster microscopic models. The first one relies on the Hyperspherical Harmonics basis to enumerate the channels describing the three-cluster continuum. The second model incorporates both Gaussian and Oscillator basis functions, and reduces the three-cluster problem to a two-cluster one, in which a two-cluster subsystem is described by a set of pseudo-bound state states. It is shown that the results agree well with comparable calculations from the literature.

31 pages, 12 figures, 9 tables

References in corpus (9)

• Structure of ground and excited states of ${}^{12}$C
• Pair decay width of the Hoyle state and carbon production in stars
• Structure of low-lying 12C-resonances
• Momentum distributions of $\alpha$-particles from decaying low-lying ${}^{12}$C-resonances
• Local versus nonlocal $\alpha \alpha$ interactions in $3\alpha$ description of ${}^{12}$C
• The triple alpha reaction rate and the 2${}^{+}$ resonances in ${}^{12}$C
• Symplectic structure and monopole strength in 12C
• The role of the Pauli principle in three-cluster systems composed of identical clusters
• Decay of low-lying 12C resonances within a 3alpha cluster model

Cited by in corpus (9)

• Decay and structure of the Hoyle state
• Two-proton emission and related phenomena
• Three-cluster dynamics within an ab initio framework
• New approach to determine proton-nucleus interactions from experimental bremsstrahlung data
• Formation and decay of resonance state in ${}^9$Be and ${}^9$B nuclei. Microscopic three-cluster model investigations
• Two- and three-cluster decays of light nuclei with the hyperspherical harmonics
• Systematic investigation of the Hoyle-analog states in light nuclei
• Peculiarity of the ${}^{12}$C$(0^{+})$ and ${}^{12}$C$(2^{+})$ energy spectrum in a 3$\alpha$ model
• Fusion and reactions of $\alpha$+${}^8$Be in the Hoyle resonance and associated resonances region