Emergent Sp(3,R) dynamical symmetry in the nuclear many-body system from an ab initio description

Abstract

Ab initio nuclear theory provides not only a microscopic framework for quantitative description of the nuclear many-body system, but also a foundation for deeper understanding of emergent collective correlations. A symplectic Sp(3,R)$\supset$U(3) dynamical symmetry is identified in ab initio predictions, from a no-core configuration interaction approach, and found to provide a qualitative understanding of the spectrum of 7Be. Low-lying states form an Elliott SU(3) spectrum, while an Sp(3,R) excitation gives rise to an excited rotational band with strong quadrupole connections to the ground state band.

arXiv comment7 pages, 3 figures

References in corpus (33)

• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Quantum Monte Carlo methods for nuclear physics
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Quantum Monte Carlo calculations of excited states in A = 6--8 nuclei
• Many-body nuclear Hamiltonian: Ab exitu approach
• Unified ab initio approaches to nuclear structure and reactions
• Ab initio many-body calculations of nucleon-nucleus scattering
• Cluster structures within Fermionic Molecular Dynamics
• Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He
• Collective Modes in Light Nuclei from First Principles
• N3LO NN interaction adjusted to light nuclei in ab exitu approach
• Symmetry-guided large-scale shell-model theory
• Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians
• Physics of nuclei: Key role of an emergent symmetry
• Evidence for Symplectic Symmetry in Ab Initio No-Core Shell Model Results for Light Nuclei
• Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory
• Open $sd$-shell nuclei from first principles
• Emergence of rotational bands in ab initio no-core configuration interaction calculations of the Be isotopes
• Matter and charge radius of 6He in the hyperspherical-harmonics approach
• Efficacy of the SU(3) scheme for ab initio large-scale calculations beyond the lightest nuclei
• Emergence of rotational bands in ab initio no-core configuration interaction calculations of light nuclei
• ${}^7$Be and ${}^7$Li nuclei within the no-core shell model with continuum
• Partial dynamical symmetry in a fermion system
• Collective rotation from ab initio theory
• Probing ab initio emergence of nuclear rotation
• Electron-scattering form factors for 6Li in the ab initio symmetry-guided framework
• Ab initio nuclear structure calculations of light nuclei
• First Measurement of the $B(E2;3/2^{-}\to 1/2^{-})$ Transition Strength in ${}^7$Be: Testing Ab Initio Predictions for $A=7$ Nuclei
• Partial Dynamical Symmetry in the Symplectic Shell Model
• The many-nucleon theory of nuclear collective structure and its macroscopic limits: an algebraic perspective
• Intrinsic operators for the translationally-invariant many-body problem
• Nuclear shape coexistence from the perspective of an algebraic many-nucleon version of the Bohr-Mottelson unified model
• Construction of the center-of-mass free space for the SU(3) no-core shell model

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• Ground-state properties of light $4n$ self-conjugate nuclei in $ab$ $initio$ no-core Monte Carlo shell model calculations with nonlocal $NN$ interactions
• Intrinsic operators for the translationally-invariant many-body problem
• Ab initio estimation of $E2$ strengths in ${}^8$Li and its neighbors by normalization to the measured quadrupole moment
• An effective field theory approach to fermionic rotational bands in nuclei
• Rotational bands beyond the Elliott model
• Symmetry and shape coexistence in 10Be
• Nuclear spin features relevant to ab initio nucleon-nucleus elastic scattering
• Partial dynamical symmetry from energy density functionals
• Puzzling $B(E2;0^{+}\to 2^{+})$ strength in the proton dripline nucleus ${}^{36}$Ca
• Alpha-Particle Monopole Form Factors with Ab Initio No-Core Shell Model
• Role of spin-isospin symmetries in nuclear $\beta$-decays
• A modern Fortran library for SU(3) coupling and recoupling coefficients