One-dimensional $\alpha$ condensation of $\alpha$-linear-chain states in ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}$

Abstract

We present a new picture that the $\alpha$-linear-chain structure for ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}$ has one-dimensional $\alpha$ condensate character. The wave functions of linear-chain states which are described by superposing a large number of Brink wave functions have extremely large overlaps of nearly $100\%$ with single Tohsaki-Horiuchi-Schuck-Röpke (THSR) wave functions, which were proposed to describe the $\alpha$ condensed "gas-like" states. Although this new picture is different from the conventional idea of the spatial localization of $\alpha$ clusters, the density distributions are shown to have localized $\alpha$-clusters which is due to the inter-$\alpha$ Pauli repulsion.

5 pages, 5 figures

References in corpus (1)

• Alpha-particle condensation in 16O via a full four-body OCM calculation

Cited by in corpus (33)

• Giant Dipole Resonance as a Fingerprint of $\alpha$ Clustering Configurations in ${}^{12}$C and ${}^{16}$O
• Rod-shaped Nuclei at Extreme Spin and Isospin
• Antisymmetrized molecular dynamics studies for exotic clustering phenomena in neutron-rich nuclei
• Hoyle band and $\alpha$ condensation in ${}^{12}\mathrm{C}$
• Alpha particle clusters and their condensation in nuclear systems
• Nonlocalized cluster dynamics and nuclear molecular structure
• Experimental investigation of a linear-chain structure in the nucleus 14C
• Stability of the linear chain structure for ${}^{12}$C in covariant density functional theory on a 3D lattice
• Alpha cluster structures and monopole excitations in ${}^{13}$C
• Dipole oscillation modes in light $\alpha$-clustering nuclei
• Investigation of 10Be and its cluster dynamics from nonlocalized clustering concept
• Effects of $\alpha$-cluster breaking on 3$\alpha$ cluster structures in ${}^{12}$C
• Dynamics of the linear-chain alpha cluster in microscopic time-dependent relativistic density functional theory
• Container evolution for cluster structures in ${}^{16}\mathrm{O}$
• Searching for 4$\alpha$ linear-chain structure in excited states of ${}^{16}$O with a covariant density functional theory
• Monopole excitation of the Hoyle state and linear-chain state in 12C
• Container structure of alpha alpha Lambda clusters in ${}_{\Lambda }^9$Be
• Multi-cluster dynamics in ${}_{\Lambda }^{13}\mathrm{C}$ and analogy to clustering in ${}^{12}\mathrm{C}$
• Two-proton momentum correlation from photondisintegration of $\alpha$-clustering light nuclei in the quasi-deuteron region
• Investigation of the 9B nucleus and its cluster-nucleon correlations
• Effects of rotation and valence nucleons in molecular-like $\alpha$-chain nuclei
• A new possibility for light-quark Dark Matter
• Analysis of delocalization of clusters in linear-chain $\alpha$-cluster states with entanglement entropy
• Bose-Einstein condensation of alpha clusters and new soft mode in 12C--52Fe 4N nuclei in field theoretical superfluid cluster model
• Effective field theory of Bose-Einstein condensation of $\alpha$ clusters and Nambu-Goldstone-Higgs states in ${}^{12}$C
• 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
• Collective flows of ${}^{16}$O + ${}^{16}$O collisions with $\alpha$-clustering configurations
• Quantum decoherence in the entanglement entropy of a composite particle and its relationship to coarse graining in the Husimi function
• Correlated-Gaussian approach to linear-chain states -Case of four $\alpha$-particles-
• Supersolidity of the $\alpha$ cluster structure in the nucleus ${}^{12}$C
• Entanglement entropy and Schmidt number as measures of delocalization of $\alpha$ clusters in one-dimensional nuclear systems
• 4$\alpha$ linear-chain state produced by ${}^9$Be+${}^9$Be collision