Ground-state properties of light $4n$ self-conjugate nuclei in $ab$ $initio$ no-core Monte Carlo shell model calculations with nonlocal $NN$ interactions

Abstract

We report $J^{\pi }=0^{+}$ ground-state energies and point-proton radii of ${}^4$He, ${}^8$Be, ${}^{12}$C, ${}^{16}$O and ${}^{20}$Ne nuclei calculated by the $ab$ $initio$ no-core Monte Carlo shell model with the JISP16 and Daejeon16 nonlocal $NN$ interactions. Ground-state energies are obtained in the basis spaces up to seven oscillator shells ($N_{\mathrm{shell}}=7$) with several oscillator energies ($\hslash \omega$) around the optimal oscillator energy for the convergence of ground-state energies. These energy eigenvalues are extrapolated to obtain estimates of converged ground state energies in each basis space using energy variances of computed energy eigenvalues. We further extrapolate these energy-variance-extrapolated energies obtained in the finite basis spaces to infinite basis-space results with an empirical exponential form. This form features a dependence on the basis-space size but is independent of the value of $\hslash \omega$ used for the harmonic-oscillator basis functions. Point-proton radii for these states of atomic nuclei are also calculated following techniques employed for the energies. From these results, it is found that the Daejeon16 $NN$ interaction provides good agreement with experimental data up to approximately ${}^{16}$O, while the JISP16 $NN$ interaction provides good agreement with experimental data up to approximately ${}^{12}$C. Beyond these nuclei, the interactions produce overbinding accompanied by radii that are too small. These findings suggest and encourage further revisions of nonlocal $NN$ interactions towards the investigation of nuclear structure in heavier-mass regions.

arXiv comment24 pages, 18 figures, 2 tables, version published in Phys. Rev. C

References in corpus (63)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Quantum Monte Carlo methods for nuclear physics
• Coupled-cluster computations of atomic nuclei
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Accurate nuclear radii and binding energies from a chiral interaction
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions
• Lattice simulations for few- and many-body systems
• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Similarity-Transformed Chiral NN+3N Interactions for the Ab Initio Description of 12-C and 16-O
• Ab Initio Many-Body Calculations of n-3H, n-4He, p-{3,4}He, and n-10Be Scattering
• Ab initio no-core full configuration calculations of light nuclei
• Many-body nuclear Hamiltonian: Ab exitu approach
• Importance Truncation for Large-Scale Configuration Interaction Approaches
• Ab initio many-body calculations of nucleon-nucleus scattering
• Nuclear Sizes and the Isotope Shift
• 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
• Convergence in the no-core shell model with low-momentum two-nucleon interactions
• N3LO NN interaction adjusted to light nuclei in ab exitu approach
• Ab initio description of the exotic unbound 7He nucleus
• Symmetry-guided large-scale shell-model theory
• Corrections to nuclear energies and radii in finite oscillator spaces
• Nuclear Shell Model by the Quantum Monte Carlo Diagonalization Method
• Convergence properties of {\itshape ab initio} calculations of light nuclei in a harmonic oscillator basis
• Ab-initio No-Core Gamow Shell Model calculations with realistic interactions
• Physics of nuclei: Key role of an emergent symmetry
• Evidence for Symplectic Symmetry in Ab Initio No-Core Shell Model Results for Light Nuclei
• Universal properties of infrared oscillator basis extrapolations
• Evolved Chiral NN+3N Hamiltonians for Ab Initio Nuclear Structure Calculations
• Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory
• Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods
• Modern Ab Initio Approaches and Applications in Few-Nucleon Physics with A \ge 4
• Ab Initio Description of Open-Shell Nuclei: Merging No-Core Shell Model and In-Medium Similarity Renormalization Group
• Infrared length scale and extrapolations for the no-core shell model
• Chaotic wave functions and exponential convergence of low-lying energy eigenvalues
• Systematic expansion for infrared oscillator basis extrapolations
• Deep learning: Extrapolation tool for ab initio nuclear theory
• Extrapolation of nuclear structure observables with artificial neural networks
• Ab initio no-core solutions for ${}^6$Li
• $Ab$ $initio$ nuclear many-body perturbation calculations in the Hartree-Fock basis
• Shell Model States in the Continuum
• Converging sequences in the ab initio no-core shell model
• Large-scale exact diagonalizations reveal low-momentum scales of nuclei
• Ultraviolet extrapolations in finite oscillator bases
• Novel Extrapolation Method in the Monte Carlo Shell Model
• Ab initio Folding Potentials for Nucleon-Nucleus Scattering based on NCSM One-Body Densities
• Infrared extrapolations for atomic nuclei
• Efficacy of the SU(3) scheme for ab initio large-scale calculations beyond the lightest nuclei
• Self-consistent Green's function approaches
• Ab initio Leading Order Effective Potentials for Elastic Nucleon-Nucleus Scattering
• Extrapolation Method for the No-Core Shell Model
• Halo nuclei 6He and 8He with the Coulomb-Sturmian basis
• Effective interactions in the sd shell
• Emergent Sp(3,R) dynamical symmetry in the nuclear many-body system from an ab initio description
• Probing ab initio emergence of nuclear rotation
• Non-parametric Bayesian approach to extrapolation problems in configuration interaction methods
• Nucleon-nucleon scattering with the Complex Scaling Method and realistic interactions
• Ground-state properties of doubly magic nuclei from the unitary-model-operator approach with the chiral two- and three-nucleon forces
• Method for measuring the entanglement of formation for arbitrary-dimensional pure states
• Daejeon16 interaction with contact-term corrections for heavy nuclear systems

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