Container evolution for cluster structures in ${}^{16}\mathrm{O}$

Abstract

Background: $\alpha +{}^{12}\mathrm{C}$ clustering in ${}^{16}\mathrm{O}$ has been of historical importance in nuclear clustering. In the last 15 years the $4\alpha$ condensate state has been proposed as a new-type cluster state. Purpose: The aim is to reveal a dynamical process of the formation of different kinds of cluster states, in terms of a "container" aspect of clusters, in ${}^{16}\mathrm{O}$. Method: The so-called THSR wave function for the $4\alpha$ clusters is extended to inclusion of two different containers occupied independently by the ${}^{12}\mathrm{C}$ $(3\alpha )$ and $\alpha$ clusters. Results: The five $J^{\pi }=0^{+}$ states with $4\alpha$ tetrahedral shape, $\alpha +{}^{12}\mathrm{C}$ cluster structures, and the $4\alpha$ condensate character, are found to be represented, to good approximation, by single configurations of the extended THSR wave function with containers of appropriate shape and size. Conclusions: It is demonstrated in ${}^{16}\mathrm{O}$ that the dynamical evolution of cluster structures can be caused by size and shape evolution of a container occupied with clusters. The $\alpha$ condensate with gaslike $4\alpha$ configuration appears as a limit of the cluster formation.

6 pages, 4 figures, 3 tables

References in corpus (10)

• Alpha-particle condensation in 16O via a full four-body OCM calculation
• Evidence for tetrahedral symmetry in 16O
• Evidence for an alpha cluster condensed state in 16O(alpha,alpha') at 400 MeV
• Breathing-like excited state of the Hoyle state in ${}^{12}\mathrm{C}$
• Investigation of ${}^9$Be from nonlocalized clustering concept
• The container picture with two-alpha correlation for the ground state of ${}^{12}$C
• Monopole excitation of the Hoyle state and linear-chain state in 12C
• Consistent description of 12C and 16O using finite range three-body interaction
• Multi-cluster dynamics in ${}_{\Lambda }^{13}\mathrm{C}$ and analogy to clustering in ${}^{12}\mathrm{C}$
• Tetrahedral $4\alpha$ and ${}^{12}\text{C}+\alpha$ cluster structures in ${}^{16}$O

Cited by in corpus (12)

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• Nonlocalized motion in two-dimensional container of $\alpha$ particles in $3^{-}$ and $4^{-}$ states of ${}^{12}$C
• Search for the 6$\alpha$ condensed state in ${}^{24}$Mg using the ${}^{12}\mathrm{C}+{}^{12}\mathrm{C}$ scattering
• 16O within the Semimicroscopic Algebraic Cluster Model and the importance of the Pauli Exclusion Principle
• Supersolidity of the $\alpha$ cluster structure in the nucleus ${}^{12}$C
• Shape of 12C
• Bose-Einstein condensation of five $\alpha$ clusters in ${}^{20}$Ne and supersolidity
• Temperature of the hot $\alpha$-source: a guidance to probe the Bose-Einstein condensation of $\alpha$ clusters in the heavy-ion collision
• Six-$\alpha$ cluster Bose-Einstein condensation and supersolid ${}^{12}$C($0_2^{+})$+${}^{12}$C($0_2^{+})$ molecular structure in ${}^{24}$Mg