A Guided Tour of Ab Initio Nuclear Many-Body Theory

Abstract

Over the last decade, new developments in Similarity Renormalization Group techniques and nuclear many-body methods have dramatically increased the capabilities of ab initio nuclear structure and reaction theory. Ground and excited-state properties can be computed up to the tin region, and from the proton to the presumptive neutron drip lines, providing unprecedented opportunities to confront two- plus three-nucleon interactions from chiral Effective Field Theory with experimental data. In this contribution, I will give a broad survey of the current status of nuclear many-body approaches, and I will use selected results to discuss both achievements and open issues that need to be addressed in the coming decade.

arXiv comment39 pages + references (58 pages total), 15 figures, to be published in Frontiers in Physics as a contribution to the Research Topic "The Future of Nuclear Structure: Challenges and Opportunities in the Microscopic Description of Nuclei"

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• Radii and binding energies in oxygen isotopes: a puzzle for nuclear forces
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• Shell Model Description of Isotope Shifts in Calcium
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• Hyperon-nucleon interaction within chiral effective field theory revisited
• Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians
• Global sensitivity analysis of bulk properties of an atomic nucleus
• A recipe for EFT uncertainty quantification in nuclear physics
• Dawning of the N=32 shell closure seen through precision mass measurements of neutron-rich titanium isotopes
• A renormalized approach to neutrinoless double-beta decay
• Bayesian parameter estimation for effective field theories
• Two-nucleon electromagnetic current in chiral effective field theory: one-pion exchange and short-range contributions
• Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances
• Eigenvector Continuation as an Efficient and Accurate Emulator for Uncertainty Quantification
• Electromagnetic structure of A=2 and 3 nuclei in chiral effective field theory
• Ab-initio No-Core Gamow Shell Model calculations with realistic interactions
• Family of Chiral Two- plus Three-Nucleon Interactions for Accurate Nuclear Structure Studies
• Physics of nuclei: Key role of an emergent symmetry
• Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in ${}^{11}$Be?
• Ab initio multi-shell valence-space Hamiltonians and the island of inversion
• Quantified limits of the nuclear landscape
• Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions
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• Ground-State Properties of ${}^4$He and ${}^{16}$O Extrapolated from Lattice QCD with Pionless EFT
• The two-nucleon electromagnetic charge operator in chiral effective field theory ($\chi$EFT) up to one loop
• Nuclear and neutron-star matter from local chiral interactions
• Exploring Bayesian parameter estimation for chiral effective field theory using nucleon-nucleon phase shifts
• Optical potential from first principles
• Three-nucleon forces and spectroscopy of neutron-rich calcium isotopes
• State Dependent Effective Interaction for the Hyperspherical Formalism with Noncentral Forces
• Bogoliubov Many-Body Perturbation Theory for Open-Shell Nuclei
• Quantum Monte Carlo calculations of neutron matter with non-local chiral interactions
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
• First principles description of the giant dipole resonance in 16O
• New applications of renormalization group methods in nuclear physics
• Ab initio Bogoliubov coupled cluster theory for open-shell nuclei
• Ab-initio self-consistent Gorkov-Green's function calculations of semi-magic nuclei - II. Numerical implementation at second order with a two-nucleon interaction
• Chiral EFT based nuclear forces: Achievements and challenges
• Ab initio electromagnetic observables with the in-medium similarity renormalization group
• Hartree-Fock Many-Body Perturbation Theory for Nuclear Ground-States
• Quantum Monte Carlo calculations of weak transitions in $A$=6--10 nuclei
• Ab initio calculations of the isotopic dependence of nuclear clustering
• Tensor hypercontraction: A universal technique for the resolution of matrix elements of local, finite-range $N$-body potentials in many-body quantum problems
• Neutron Drops and Skyrme Energy-Density Functionals
• Ab initio optical potentials and nucleon scattering on medium mass nuclei
• Ab Initio Description of Open-Shell Nuclei: Merging No-Core Shell Model and In-Medium Similarity Renormalization Group
• Self-consistent Green's function theory for atomic nuclei
• How Robust is the N = 34 Subshell Closure? First Spectroscopy of ${}^{52}$Ar
• Giant and pigmy dipole resonances in 4He, 16,22O, and 40Ca from chiral nucleon-nucleon interactions
• Stochastic determination of effective Hamiltonian for the full configuration interaction solution of quasi-degenerate electronic states
• Momentum space evolution of chiral three-nucleon forces
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• Chiral Effective Field Theory Calculations of Weak Transitions in Light Nuclei
• Ab initio predictions for polarized DT thermonuclear fusion
• Infrared length scale and extrapolations for the no-core shell model
• Atomic nuclei from quantum Monte Carlo calculations with chiral EFT interactions
• Ab-initio shell model with a core
• From bound states to the continuum
• Non-observable nature of the nuclear shell structure. Meaning, illustrations and consequences
• Can tetraneutron be a narrow resonance?
• Symmetry broken and restored coupled-cluster theory I. Rotational symmetry and angular momentum
• Emergent properties of nuclei from ab initio coupled-cluster calculations
• Neutrino-nucleus cross section within the extended factorization scheme
• Generator-coordinate reference states for spectra and $0\nu \beta \beta$ decay in the in-medium similarity renormalization group
• Quantified Gamow Shell Model interaction for $psd$-shell nuclei
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• Testing microscopically derived descriptions of nuclear collectivity: Coulomb excitation of 22Mg
• Extension of coupled-cluster theory with a non-iterative treatment of connected triply excited clusters to three-body Hamiltonians
• Neutrinoless double beta decay in effective field theory: the light Majorana neutrino exchange mechanism
• Systematic expansion for infrared oscillator basis extrapolations
• Open $sd$-shell nuclei from first principles
• Neutral weak current two-body contributions in inclusive scattering from ${}^{12}$C
• Pion-less effective field theory for atomic nuclei and lattice nuclei
• Ab initio calculation of neutral-current $\nu$-${}^{12}$C inclusive quasielastic scattering
• Electric dipole polarizability from first principles calculations
• Coherent elastic neutrino-nucleus scattering on 40Ar from first principles
• Advanced density matrix renormalization group method for nuclear structure calculations
• Ab initio coupled-cluster theory for open-shell nuclei
• Natural orbitals for ab initio no-core shell model calculations
• P-matrix and J-matrix approaches. Coulomb asymptotics in the harmonic oscillator representation of scattering theory
• Efimov Physics around the neutron rich Calcium-60 isotope
• Probing chiral interactions up to next-to-next-to-next-to-leading order in medium-mass nuclei
• Improved many-body expansions from eigenvector continuation
• Multi-shell effective interactions
• Particle-number projected Bogoliubov coupled cluster theory. Application to the pairing Hamiltonian
• Ab initio effective interactions for sd-shell valence nucleons
• Ab initio no-core solutions for ${}^6$Li
• Microscopic optical potentials for calcium isotopes
• Shell Model States in the Continuum
• Continuum effects in neutron-drip-line oxygen isotopes
• ADG: Automated generation and evaluation of many-body diagrams I. Bogoliubov many-body perturbation theory
• Effective double-beta-decay operator for 76Ge and 82Se
• Effective field theory for nuclear vibrations with quantified uncertainties
• Non-empirical pairing functional
• Ab initio Folding Potentials for Nucleon-Nucleus Scattering based on NCSM One-Body Densities
• Ultraviolet extrapolations in finite oscillator bases
• Large-scale exact diagonalizations reveal low-momentum scales of nuclei
• Shell-model coupled-cluster method for open-shell nuclei
• Charge radius of the short-lived ${}^{68}$Ni and correlation with the dipole polarizability
• Testing the density matrix expansion against ab initio calculations of trapped neutron drops
• Weinberg eigenvalues for chiral nucleon-nucleon interactions
• Ab initio Gamow in-medium similarity renormalization group with resonance and continuum
• Gamow shell model description of proton scattering on ${}^{18}$Ne
• Open-Shell Nuclei from No-Core Shell Model with Perturbative Improvement
• Convergence of Eigenvector Continuation
• Self-consistent Green's function approaches
• Power Counting in Peripheral Partial Waves: The Singlet Channels
• Microscopic optical potentials derived from ab initio translationally invariant nonlocal one-body densities
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• 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
• Effective Field Theory for Finite Systems with Spontaneously Broken Symmetry
• Effective Field Theory and the Gamow Shell Model: The 6He Halo Nucleus
• The Two-Nucleon 1S0 Amplitude Zero in Chiral Effective Field Theory
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Full optimization and validation
• Lepton scattering from ${}^{40}$Ar and ${}^{48}$Ti in the quasielastic peak region
• Density matrix renormalization group approach to two-fluid open many-fermion systems
• Computing the dipole polarizability of 48Ca with increased precision
• Structures and decay properties of extremely proton-rich nuclei ${}^{11,12}$O
• Pade-resummed high-order perturbation theory for nuclear structure calculations
• Nuclear electromagnetic dipole response with the Self-Consistent Green's Function formalism
• An {\it ab-initio} Gamow shell model approach with a core
• BIGSTICK: A flexible configuration-interaction shell-model code (updated)
• Algebraic diagrammatic construction formalism with three-body interactions
• Masses of neutron-rich ${}^{52-54}$Sc and ${}^{54,56}$Ti nuclides: The $N=32$ subshell closure in scandium
• Effective field theory in the harmonic oscillator basis
• Effective interactions in the sd shell
• Spherical coupled-cluster theory for open-shell nuclei
• Effective operators from exact many-body renormalization
• Turning the nuclear energy density functional method into a proper effective field theory: reflections
• Nucleon-$\alpha$ Scattering and Resonances in ${}^5$He and ${}^5$Li with JISP16 and Daejeon16 $NN$ interactions
• Inclusive electron-nucleus cross section within the Self Consistent Green's Function approach
• Collective rotation from ab initio theory
• Preconditioning and perturbative estimators in full configuration interaction quantum Monte Carlo
• Energy Spectrum of Neutron-Rich Helium Isotopes: Complex Made Simple
• Gamow shell model description of ${}^4$He($d$,$d$) elastic scattering reactions
• The nuclear force imprints revealed on the elastic scattering of protons with ${}^{10}$C
• Ab initio short-range-correlation scaling factors from light to medium-mass nuclei
• In-Medium Similarity Renormalization Group Approach to the Nuclear Many-Body Problem
• Infrared extrapolations of quadrupole moments and transitions
• Probing ab initio emergence of nuclear rotation
• Ab Initio Excited States from the In-Medium Similarity Renormalization Group
• Gamow Shell Model description of Li isotopes and their mirror partners
• Normal-ordered $k$-body approximation in particle-number-breaking theories
• Similarity Renormalization Group Evolution of Three-Nucleon Forces in a Hyperspherical Momentum Representation
• Bayesian optimization in ab initio nuclear physics
• Spectra of Open-Shell Nuclei with Padé-Resummed Degenerate Perturbation Theory
• Description of nuclear systems with a self-consistent configuration-mixing approach. I: Theory, algorithm, and application to the ${}^{12}$C test nucleus
• Pre-processing the nuclear many-body problem: Importance truncation versus tensor factorization techniques
• Diagrammatic Coupled Cluster Monte Carlo
• Eft for DFT
• Structure of the exotic ${}^9$He nucleus from the no-core shell model with continuum
• Ab initio Translationally Invariant Nonlocal One-body Densities from No-core Shell-model Theory
• Tensor-decomposition techniques for ab initio nuclear structure calculations. From chiral nuclear potentials to ground-state energies
• Chiral potential renormalized in harmonic-oscillator space
• Measurement of the CKM angle $\gamma$ using $B^{\pm }\to D{K}^{\pm }$ with $D\to K_{\text{S}}^0{\pi }^{+}{\pi }^{-}$, $K_{\text{S}}^0{K}^{+}{K}^{-}$ decays
• Do we know how to count powers in pionless and pionful effective field theory?
• Effective theory for the non-rigid rotor in an electromagnetic field: Toward accurate and precise calculations of E2 transitions in deformed nuclei
• Description of nuclear systems with a self-consistent configuration-mixing approach. II: Application to structure and reactions in even-even sd-shell nuclei
• Nuclear Structure from the In-Medium Similarity Renormalization Group
• Shell-model interactions from chiral effective field theory
• The Tjon Band in Nuclear Lattice Effective Field Theory
• The many-nucleon theory of nuclear collective structure and its macroscopic limits: an algebraic perspective
• Center-of-mass problem in truncated configuration interaction and coupled-cluster calculations
• Applying the Density Matrix Expansion with Coordinate-Space Chiral Interactions
• Effective Field Theory of Emergent Symmetry Breaking in Deformed Atomic Nuclei
• Precision measurement of the $E2$ transition strength to the 2${}_1^{+}$ state of ${}^{12}$C
• Effective field theory for vibrations in odd-mass nuclei
• Incorporating Brueckner-Hartree-Fock correlations in the Density Matrix Expansion approach
• Core-polarization effects and effective charges in O and Ni isotopes from chiral interactions
• Effective field theory for deformed odd-mass nuclei
• Ground-state properties of doubly magic nuclei from the unitary-model-operator approach with the chiral two- and three-nucleon forces
• Incorporation of three-nucleon force in the effective interaction hyperspherical harmonic approach
• Merging ab initio theory and few-body approach for $(d,p)$ reactions
• Quantum Monte Carlo formalism for dynamical pions and nucleons
• Bayesian averaging of computer models with domain discrepancies: a nuclear physics perspective
• Nuclear Physics without High-Momentum Potentials: Constructing the Nuclear Effective Interaction Directly from Scattering Observables
• Introduction of the one-body correlation operator in the unitary-model-operator approach
• Renormalization of pionless effective field theory in the A-body sector
• Lattice methods and the nuclear few- and many-body problem
• Adiabatic projection method with Euclidean time subspace projection
• Unmixing symmetries
• Lattice Improvement in Lattice Effective Field Theory
• Lattice methods and effective field theory
• Nuclear kinetic density from ab initio theory
• Symmetry reduction of tensor networks in many-body theory I. Automated symbolic evaluation of $SU(2)$ algebra
• Green's functions techniques for extended nuclear systems

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