Hoyle state and rotational features in Carbon-12 within a no-core shell model framework

Abstract

By using only a fraction of the model space extended beyond current no-core shell-model limits and a schematic effective many-nucleon interaction, we gain additional insight within a symmetry-guided shell-model framework, into the many-body dynamics that gives rise to the ground state rotational band together with phenomena tied to alpha-clustering substructures in the low-lying states in C-12, and in particular, the challenging Hoyle state and its first 2+ excitation. For these states, we offer a novel perspective emerging out of no-core shell-model considerations, including a discussion of associated nuclear shapes and matter radii. This, in turn, provides guidance for ab initio shell models by informing key features of nuclear structure and the interaction.

5 pages, 4 figures

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• Structure and rotations of the Hoyle state
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• Evidence for Symplectic Symmetry in Ab Initio No-Core Shell Model Results for Light Nuclei
• Structure of A = 7 - 8 nuclei with two- plus three-nucleon interactions from chiral effective field theory

Cited by in corpus (52)

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• Evidence for Triangular D_3h Symmetry in 12C
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• Physics of nuclei: Key role of an emergent symmetry
• From bound states to the continuum
• Alpha particle clusters and their condensation in nuclear systems
• Emergent geometry and duality in the carbon nucleus
• The Algebraic Cluster Model: Structure of 16O
• Symplectic No-core Shell-model Approach to Intermediate-mass Nuclei
• Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework
• Cluster structure of light nuclei
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Efficacy of the SU(3) scheme for ab initio large-scale calculations beyond the lightest nuclei
• Shape coexistence in even-even nuclei: A theoretical overview
• Alpha clustering and alpha-capture reaction rate from ab initio symmetry-adapted description of ${}^{20}$Ne
• Nonlocalized Clustering and Evolution of Cluster Structure in Nuclei
• Emergent symplectic symmetry in atomic nuclei: Ab initio symmetry-adapted no-core shell model
• ${}^{12}$C properties with evolved chiral three-nucleon interactions
• Understanding emergent collectivity and clustering in nuclei from a symmetry-based no-core shell-model perspective
• Reorientation-effect measurement of the first 2${}^{+}$ state in ${}^{12}$C: confirmation of oblate deformation
• Machine learning approach to pattern recognition in nuclear dynamics from the ab initio symmetry-adapted no-core shell model
• Improved version of simplified method for including tensor effect in cluster models
• The impact of the off-diagonal cross-shell interaction on ${}^{14}$C
• Analysis of clustering phenomena in ab initio approaches
• $\alpha$ scattering cross sections on ${}^{12}$C with microscopic coupled-channel calculation
• 12C within the Semimicroscopic Algebraic Cluster Model
• Description of alpha-clustering of 8Be nucleus states in high-precision theoretical approach
• The many-nucleon theory of nuclear collective structure and its macroscopic limits: an algebraic perspective
• Cluster structures and monopole transitions of ${}^{14}$C
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• Explicit inclusion of spin-orbit contribution in THSR wave function
• Transition densities and form factors in the triangular $\alpha$-cluster model of ${}^{12}$C with application to ${}^{12}$C+$\alpha$ scattering
• Asymptotic characteristics of decay channels of light nuclei states in the ab initio approach
• Geometrical symmetries of nuclear systems: D(3h) and T(d) symmetries in light nuclei
• Nuclear shape coexistence from the perspective of an algebraic many-nucleon version of the Bohr-Mottelson unified model
• Consistent description for cluster dynamics and single-particle correlation
• The Hoyle state and its relatives
• Tensor correlations in ${}^4$He and ${}^8$Be with antisymmetrized quasi cluster model
• SU(3)-guided Realistic Nucleon-nucleon Interactions for Large-scale Calculations
• Signatures of $\alpha$-clustering in ${}^{12}$C and ${}^{13}$C
• Symmetries and order in cluster nuclei
• The concept of nuclear cluster forbiddenness
• Electromagnetic transitions in the algebraic cluster model
• Symplectic Effective Field Theory for Nuclear Structure Studies
• Symplectic symmetry approach to clustering in atomic nuclei: The case of ${}^{24}$Mg
• States of the ${}^{12}$C Nucleus in the Toroidal Configuration
• Probing the Source of Proton Mass by"Unbreaking" Scale-Chiral Symmetry
• Efficacious qubit mappings for quantum simulations of the ${}^{12}$C rotational band
• Geometric symmetries in light nuclei
• 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