The container picture with two-alpha correlation for the ground state of ${}^{12}$C

Abstract

It is shown that the single $0^{+}$ THSR (Tohsaki-Horiuchi-Schuck-Röpke) wave function which is extended to include 2$\alpha$ correlation is almost completely equivalent to the 3$\alpha$ wave function obtained as the full solution of 3$\alpha$ cluster model. Their squared overlap is as high as 98\% while it is 93\% if the 2$\alpha$ correlation is not included. This result implies that, by incorporating the 2$\alpha$ correlation in the 3$\alpha$ model, the ground state of ${}^{12}$C is describable in the container picture which is valid for the Hoyle state for which the 2$\alpha$ correlation is weak and a single $0^{+}$ THSR wave function without 2$\alpha$ correlation is almost completely equivalent to the full solution of 3$\alpha$ cluster model.

arXiv comment6 pages, 2 figures

References in corpus (6)

• Alpha cluster condensation in 12C and 16O
• Structure of ground and excited states of ${}^{12}$C
• Evidence for Triangular D_3h Symmetry in 12C
• Nonlocalized Clustering: A New Concept in Nuclear Cluster Structure Physics
• Description of 8Be as Deformed Gas-like Two-Alpha-Paricle States
• Nonlocalized cluster dynamics and nuclear molecular structure

Cited by in corpus (11)

• Microscopic Clustering in Light Nuclei
• Hoyle band and $\alpha$ condensation in ${}^{12}\mathrm{C}$
• Breathing-like excited state of the Hoyle state in ${}^{12}\mathrm{C}$
• Nonlocalized Clustering and Evolution of Cluster Structure in Nuclei
• Container evolution for cluster structures in ${}^{16}\mathrm{O}$
• Influence of nuclear structure in relativistic heavy-ion collisions
• Resonant and Scattering States in the $\alpha +\alpha$ System from the Non-Localized Cluster Model
• Transition densities and form factors in the triangular $\alpha$-cluster model of ${}^{12}$C with application to ${}^{12}$C+$\alpha$ scattering
• Nonlocalized motion in two-dimensional container of $\alpha$ particles in $3^{-}$ and $4^{-}$ states of ${}^{12}$C
• Supersolidity of the $\alpha$ cluster structure in the nucleus ${}^{12}$C
• New trial wave function for nuclear cluster structure of nuclei