Shape of 12C

Abstract

We have examined the hypothesis by Bijker and Iachello who asserted that 12C has an internal structure with three alpha particles arranged in a triangular shape, leading to the formation of the ground rotational band consisting of 0+, 2+, 3-, 4${}^{\pm }$ and 5- states. Following this idea, we reconstructed the intrinsic shape of 12C using experimental electron scattering data with minimal theoretical assumption. Our sole assumption was that the observed 0+, 2+, 3-, and 4+ states share a common internal structure, forming a rotational spectrum. The reconstructed intrinsic density showed a beautiful triangular shape with three peaks implying alpha cluster formation in the ground band.

References in corpus (23)

• Alpha cluster condensation in 12C and 16O
• Ab initio calculation of the Hoyle state
• Structure and rotations of the Hoyle state
• Structure of ground and excited states of ${}^{12}$C
• Evidence for Triangular D_3h Symmetry in 12C
• Alpha-particle condensation in 16O via a full four-body OCM calculation
• Variation after Angular Momentum Projection for the Study of Excited States Based on Antisymmetrized Molecular Dynamics
• Concepts of alpha-particle condensation
• Electromagnetic response of 12C: a first-principles calculation
• Cluster states in nuclei as representations of a U(n+1) group
• Pair decay width of the Hoyle state and carbon production in stars
• Hoyle band and $\alpha$ condensation in ${}^{12}\mathrm{C}$
• Alpha particle clusters and their condensation in nuclear systems
• Emergent geometry and duality in the carbon nucleus
• Cluster structure of light nuclei
• Candidates for the 5$\alpha$ condensed state in ${}^{20}$Ne
• Container evolution for cluster structures in ${}^{16}\mathrm{O}$
• Real-time evolution method and its application to 3$\alpha$ cluster system
• 12C within the Semimicroscopic Algebraic Cluster Model
• Electromagnetic selection rules in the triangular alpha-cluster model of 12C
• Alpha-induced inelastic scattering and alpha-transfer reactions in ${}^{12}$C and ${}^{16}$O within the Algebraic Cluster Model
• Transition densities and form factors in the triangular $\alpha$-cluster model of ${}^{12}$C with application to ${}^{12}$C+$\alpha$ scattering
• Search for the 6$\alpha$ condensed state in ${}^{24}$Mg using the ${}^{12}\mathrm{C}+{}^{12}\mathrm{C}$ scattering