Evidence for Symplectic Symmetry in Ab Initio No-Core Shell Model Results for Light Nuclei

Abstract

Clear evidence for symplectic symmetry in low-lying states of ${}^{12}$C and ${}^{16}$O is reported. Eigenstates of ${}^{12}$C and ${}^{16}$O, determined within the framework of the no-core shell model using the JISP16 $NN$ realistic interaction, typically project at the 85-90% level onto a few of the most deformed symplectic basis states that span only a small fraction of the full model space. The results are nearly independent of whether the bare or renormalized effective interactions are used in the analysis. The outcome confirms Elliott's \SU{3} model which underpins the symplectic scheme, and above all, points to the relevance of a symplectic no-core shell model that can reproduce experimental B(E2) values without effective charges as well as deformed spatial modes associated with clustering phenomena in nuclei.

arXiv comment4 pages, 3 figures, to be published in Physics Review Letters

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Cited by in corpus (53)

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• Microscopic Clustering in Light Nuclei
• Collective Modes in Light Nuclei from First Principles
• Symmetry-guided large-scale shell-model theory
• Hoyle state and rotational features in Carbon-12 within a no-core shell model framework
• Physics of nuclei: Key role of an emergent symmetry
• Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods
• Isoscalar monopole excitations in ${}^{16}$O: $\alpha$-cluster states at low energy and mean-field-type states at higher energy
• From bound states to the continuum
• Symplectic No-core Shell-model Approach to Intermediate-mass Nuclei
• Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework
• {\it Ab initio} nuclear structure - the large sparse matrix eigenvalue problem
• 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
• Quantum time scales in alpha tunneling
• Emergent symplectic symmetry in atomic nuclei: Ab initio symmetry-adapted no-core shell model
• The proxy-SU(3) symmetry in atomic nuclei
• Emergent Sp(3,R) dynamical symmetry in the nuclear many-body system from an ab initio description
• Correlated-basis description of $\alpha$-cluster and delocalized $0^{+}$ states in ${}^{16}$O
• Benchmark calculations of electromagnetic sum rules with a symmetry-adapted basis and hyperspherical harmonics
• Electron-scattering form factors for 6Li in the ab initio symmetry-guided framework
• Probing ab initio emergence of nuclear rotation
• Partial dynamical symmetry as a selection criterion for many-body interactions
• Understanding emergent collectivity and clustering in nuclei from a symmetry-based no-core shell-model perspective
• Tetrahedral $4\alpha$ and ${}^{12}\text{C}+\alpha$ cluster structures in ${}^{16}$O
• The impact of the off-diagonal cross-shell interaction on ${}^{14}$C
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• Calibration of nuclear charge density distribution by back-propagation neural networks
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• Monopole Excitation to Cluster States
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• Harmonic-oscillator excitations of precise few-body wave functions
• Fake Run-Time Selection of Template Arguments in C++
• Towards modeling cluster structure of ${}^8$Be with chiral interaction
• New Procedure for Evaluation of U(3) Coupling and Recoupling Coefficients
• Construction of the center-of-mass free space for the SU(3) no-core shell model
• Structure of the Particle-Hole Amplitudes in No-core Shell Model Wave Functions
• The scientific legacy of J. P. Elliott
• Coupling and Recoupling Coefficients for Wigner's U(4) Supermultiplet Symmetry
• Symplectic Effective Field Theory for Nuclear Structure Studies
• The Oblique Basis Method from an Engineering Point of View
• Efficacious qubit mappings for quantum simulations of the ${}^{12}$C rotational band
• A modern Fortran library for SU(3) coupling and recoupling coefficients
• Ab initio no-core shell-model study of ${}^{20-23}$Na isotopes