Nonlocalized cluster dynamics and nuclear molecular structure

Abstract

A container picture is proposed for understanding cluster dynamics where the clusters make nonlocalized motion occupying the lowest orbit of the cluster mean-field potential characterized by the size parameter $‘‘B"$ in the THSR (Tohsaki-Horiuchi-Schuck-Röpke) wave function. The nonlocalized cluster aspects of the inversion-doublet bands in ${}^{20}$Ne which have been considered as a typical manifestation of localized clustering are discussed. So far unexplained puzzling features of the THSR wave function, namely that after angular-momentum projection for two cluster systems the prolate THSR wave function is almost 100$\%$ equivalent to an oblate THSR wave function is clarified. It is shown that the true intrinsic two-cluster THSR configuration is nonetheless prolate. The proposal of the container picture is based on the fact that typical cluster systems, 2$\alpha$, 3$\alpha$, and $\alpha$+${}^{16}$O, are all well described by a single THSR wave function. It will be shown for the case of linear-chain states with two and three $\alpha$-clusters as well as for the $\alpha$+${}^{16}$O system that localization is entirely of kinematical origin, that is, due to the inter-cluster Pauli repulsion. It is concluded that this feature is general for nuclear cluster states.

34 pages, 28 figures

References in corpus (4)

• Alpha-particle condensation in 16O via a full four-body OCM calculation
• Pair decay width of the Hoyle state and carbon production in stars
• One-dimensional $\alpha$ condensation of $\alpha$-linear-chain states in ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}$
• Density-induced suppression of the alpha-particle condensate in nuclear matter and the structure of alpha cluster states in nuclei

Cited by in corpus (30)

• Microscopic Clustering in Light Nuclei
• Bound clusters on top of doubly magic nuclei
• Status of Alpha-Particle Condensate Structure of the Hoyle State
• Alpha Decay Width of ${}^{212}$Po from a quartetting wave function approach
• Alpha particle clusters and their condensation in nuclear systems
• Alpha cluster structures and monopole excitations in ${}^{13}$C
• Breathing-like excited state of the Hoyle state in ${}^{12}\mathrm{C}$
• Investigation of 10Be and its cluster dynamics from nonlocalized clustering concept
• Investigation of ${}^9$Be from nonlocalized clustering concept
• Nonlocalized Clustering and Evolution of Cluster Structure in Nuclei
• Container evolution for cluster structures in ${}^{16}\mathrm{O}$
• 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
• Container structure of alpha alpha Lambda clusters in ${}_{\Lambda }^9$Be
• Alpha-like clustering in ${}^{20}$Ne from a quartetting wave function approach
• Investigation of the 9B nucleus and its cluster-nucleon correlations
• Direct probing of the cluster structure in ${}^{12}$Be via $\alpha$-knockout reaction
• Resonant and Scattering States in the $\alpha +\alpha$ System from the Non-Localized Cluster Model
• Nonlocalized motion in two-dimensional container of $\alpha$ particles in $3^{-}$ and $4^{-}$ states of ${}^{12}$C
• Evidence of bicluster structure in the ground state of ${}^{20}$Ne
• 2alpha+t cluster feature of $3/2_3^{-}$ state in ${}^{11}$B
• Investigation of the pairing effect in 10B nucleus compared with 10Be and 10C nuclei by using the extended THSR wave function
• Supersolidity of the $\alpha$ cluster structure in the nucleus ${}^{12}$C
• Evolution of clustering structure through the momentum distributions in ${}^{8-10}$Be isotopes
• New trial wave function for nuclear cluster structure of nuclei
• Manifestation of the divergence between antisymmetrized-molecular-dynamics and container pictures of ${}^9$Be via ${}^9$Be($p,pn$)${}^8$Be knockout reaction
• Identifying $\alpha$-cluster configurations in ${}^{20}$Ne via ultracentral Ne+Ne Collisions
• Wormhole Model for Neon-20
• Continuum damping effects in nuclear collisions associated with twisted boundary conditions
• Quartetting Wave Function Approach to ${}^{20}$Ne: Shell Model and Local Density Approximation