Hoyle band and $\alpha$ condensation in ${}^{12}\mathrm{C}$

Abstract

The excited states in ${}^{12}\mathrm{C}$ are investigated by using an extended version of the so-called Tohsaki-Horiuchi- Schuck-Röpke (THSR) wave function, where both the $3\alpha$ condensate and ${}^8\mathrm{Be}+\alpha$ cluster asymptotic configurations are included. A new method is also used to resolve spurious continuum coupling with physical states. We focus on the structures of the "Hoyle band" states, $2_2^{+}$, and $4_2^{+}$ states, which are recently observed above the Hoyle state and of the $0_3^{+}$ and $0_4^{+}$ states, which are also quite recently identified in experiment. Their resonance parameters and decay properties are reasonably reproduced. All these states have gaslike configurations of the $3\alpha$ clusters with larger root mean square radii than that of the Hoyle state. The Hoyle band is not simply considered to be the ${}^8\mathrm{Be}(0^{+})+\alpha$ rotation as suggested by previous cluster model calculations, nor to be a rotation of a rigid-body triangle-shaped object composed of the $3\alpha$ particles. This is mainly due to the specificity of the Hoyle state, which has the $3\alpha$ condensate structure and gives a rise to the $0_3^{+}$ state with a prominent ${}^8\mathrm{Be}(0^{+})+\alpha$ structure as a result of very strong monopole excitation from the Hoyle state.

5 pages, 2 figures, submitted to PRL

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• Alpha-particle condensation in 16O via a full four-body OCM calculation
• The container picture with two-alpha correlation for the ground state of ${}^{12}$C
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Cited by in corpus (38)

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• Status of Alpha-Particle Condensate Structure of the Hoyle State
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• Alpha cluster structures and monopole excitations in ${}^{13}$C
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• Candidates for the 5$\alpha$ condensed state in ${}^{20}$Ne
• The radiative width of the Hoyle state from $\gamma$-ray spectroscopy
• Nonlocalized Clustering and Evolution of Cluster Structure in Nuclei
• Container evolution for cluster structures in ${}^{16}\mathrm{O}$
• Manifestation of α-clustering in ${}^{10}$Be via α-knockout reaction
• Monopole excitation of the Hoyle state and linear-chain state in 12C
• Cluster structures in ${}^{12}$C from global energy density functionals
• Real-time evolution method and its application to 3$\alpha$ cluster system
• Reorientation-effect measurement of the first 2${}^{+}$ state in ${}^{12}$C: confirmation of oblate deformation
• Multi-cluster dynamics in ${}_{\Lambda }^{13}\mathrm{C}$ and analogy to clustering in ${}^{12}\mathrm{C}$
• $\alpha$ scattering cross sections on ${}^{12}$C with microscopic coupled-channel calculation
• 12C within the Semimicroscopic Algebraic Cluster Model
• Direct probing of the cluster structure in ${}^{12}$Be via $\alpha$-knockout reaction
• 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
• Cluster structures and monopole transitions of ${}^{14}$C
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• Optimization of basis functions for the multi-configuration mixing using the Replica Exchange Monte-Carlo method and its application to ${}^{12}$C
• Cluster model of 12C in density functional theory framework
• Search for the 6$\alpha$ condensed state in ${}^{24}$Mg using the ${}^{12}\mathrm{C}+{}^{12}\mathrm{C}$ scattering
• The Hoyle Family: The search for alpha-condensate states in light nuclei
• Repulsive Four-Body Interactions of $\alpha$ Particles and Quasi-Stable Nuclear $\alpha$-Particle Condensates in Heavy Self-Conjugate Nuclei
• Generator coordinate method for nuclear octupole excitations: status and perspectives
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• Cluster structures of the $0^{+}$ states of ${}_{\Lambda }^{13}\mathrm{C}$ with the 3$\alpha +\Lambda$ four-body orthogonality condition model
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• Three-$\alpha$ configurations of the second $J^{\pi }=2^{+}$ state in ${}^{12}$C
• Resonances in ${}^{12}$C and ${}^{24}$Mg: what do we learn from a microscopic cluster theory?
• Low-energy ${}^{12}$C continuum states in three-$\alpha$ model
• The isoscalar monopole strength of 13C
• Bose-Einstein condensation of five $\alpha$ clusters in ${}^{20}$Ne and supersolidity
• Six-$\alpha$ cluster Bose-Einstein condensation and supersolid ${}^{12}$C($0_2^{+})$+${}^{12}$C($0_2^{+})$ molecular structure in ${}^{24}$Mg
• Examination of the $\alpha$-cluster breaking in the four $0^{+}$ bands of ${}^{12}$C with the variation of multiple bases of the antisymmetrized molecular dynamics