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.

39 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"

References in corpus (63)

• Chiral effective field theory and nuclear forces
• Improved nuclear matter calculations from chiral low-momentum interactions
• Accurate nuclear radii and binding energies from a chiral interaction
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Hyperon Puzzle: Hints from Quantum Monte Carlo Calculations
• Structure and rotations of the Hoyle state
• Evolution of shell structure in neutron-rich calcium isotopes
• A nucleus-dependent valence-space approach to nuclear structure
• Shell Model in the Complex Energy Plane
• In-Medium Similarity Renormalization Group for Nuclei
• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Shell-model calculations and realistic effective interactions
• Importance Truncation for Large-Scale Configuration Interaction Approaches
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• ${}^{78}$Ni revealed as a doubly magic stronghold against nuclear deformation
• In-Medium Similarity Renormalization Group for Open-Shell Nuclei
• Bold Diagrammatic Monte Carlo: When Sign Problem is Welcome
• Ab Initio Multi-Reference In-Medium Similarity Renormalization Group Calculations of Even Calcium and Nickel Isotopes
• Symmetry-guided large-scale shell-model theory
• Global sensitivity analysis of bulk properties of an atomic nucleus
• Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in ${}^{11}$Be?
• Universal properties of infrared oscillator basis extrapolations
• Optical potential from first principles
• Three-nucleon forces and spectroscopy of neutron-rich calcium isotopes
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
• Ab initio Bogoliubov coupled cluster theory for open-shell nuclei
• Chiral EFT based nuclear forces: Achievements and challenges
• Giant and pigmy dipole resonances in 4He, 16,22O, and 40Ca from chiral nucleon-nucleon interactions
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• Momentum space evolution of chiral three-nucleon forces
• Infrared length scale and extrapolations for the no-core shell model
• Ab-initio shell model with a core
• Symmetry broken and restored coupled-cluster theory I. Rotational symmetry and angular momentum
• Quantified Gamow Shell Model interaction for $psd$-shell nuclei
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• Ab initio coupled-cluster theory for open-shell nuclei
• Ab initio effective interactions for sd-shell valence nucleons
• Shell Model States in the Continuum
• Non-empirical pairing functional
• Ultraviolet extrapolations in finite oscillator bases
• Ab initio Gamow in-medium similarity renormalization group with resonance and continuum
• Weinberg eigenvalues for chiral nucleon-nucleon interactions
• Density matrix renormalization group approach to two-fluid open many-fermion systems
• Structures and decay properties of extremely proton-rich nuclei ${}^{11,12}$O
• An {\it ab-initio} Gamow shell model approach with a core
• Masses of neutron-rich ${}^{52-54}$Sc and ${}^{54,56}$Ti nuclides: The $N=32$ subshell closure in scandium
• Effective operators from exact many-body renormalization
• Preconditioning and perturbative estimators in full configuration interaction quantum Monte Carlo
• 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
• Spectra of Open-Shell Nuclei with Padé-Resummed Degenerate Perturbation Theory
• Diagrammatic Coupled Cluster Monte Carlo
• Pre-processing the nuclear many-body problem: Importance truncation versus tensor factorization techniques
• Chiral potential renormalized in harmonic-oscillator space
• 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
• Precision measurement of the $E2$ transition strength to the 2${}_1^{+}$ state of ${}^{12}$C
• Effective field theory for vibrations in odd-mass nuclei
• Introduction of the one-body correlation operator in the unitary-model-operator approach
• Green's functions techniques for extended nuclear systems
• Symmetry reduction of tensor networks in many-body theory I. Automated symbolic evaluation of $SU(2)$ algebra

Cited by in corpus (153)

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• Chiral Effective Field Theory and the High-Density Nuclear Equation of State
• Converged ab initio calculations of heavy nuclei
• Light nuclei with semilocal momentum-space regularized chiral interactions up to third order
• Nuclear Charge Radii of the Nickel Isotopes ${}^{58-68,70}$Ni
• In-medium similarity renormalization group with three-body operators
• What is ab initio in nuclear theory?
• Multi-reference many-body perturbation theory for nuclei III -- Ab initio calculations at second order in PGCM-PT
• Imaging the initial condition of heavy-ion collisions and nuclear structure across the nuclide chart
• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework
• Ab initio computation of the longitudinal response function in ${}^{40}$Ca
• Trends of Neutron Skins and Radii of Mirror Nuclei from First Principles
• Combining the in-medium similarity renormalization group with the density matrix renormalization group: Shell structure and information entropy
• \texttt{NuHamil}: A numerical code to generate nuclear two- and three-body matrix elements from chiral effective field theory
• Accessing ground state and excited states energies in many-body system after symmetry restoration using quantum computers
• Eigenvector Continuation and Projection-Based Emulators
• Short-range correlation physics at low RG resolution
• Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D mesh: II. Time-reversal symmetry breaking
• Accessing the shape of atomic nuclei with relativistic collisions of isobars
• Nuclear properties with semilocal momentum-space regularized chiral interactions beyond N2LO
• Impact of two-body currents on magnetic dipole moments of nuclei
• Probing new bosons and nuclear structure with ytterbium isotope shifts
• Quantum Simulations in Effective Model Spaces (I): Hamiltonian Learning-VQE using Digital Quantum Computers and Application to the Lipkin-Meshkov-Glick Model
• Nuclear charge radii of silicon isotopes
• Natural orbitals for many-body expansion methods
• Neutrinoless double-beta decay: combining quantum Monte Carlo and the nuclear shell model with the generalized contact formalism
• Nuclei with up to $\mathbf{A}=6$ nucleons with artificial neural network wave functions
• Moving away from singly-magic nuclei with Gorkov Green's function theory
• Normal ordering of three-nucleon interactions for ab initio calculations of heavy nuclei
• Towards heavy-mass ab initio nuclear structure: Open-shell Ca, Ni and Sn isotopes from Bogoliubov coupled-cluster theory
• Multiscale physics of atomic nuclei from first principles
• Ab initio structure factors for spin-dependent dark matter direct detection
• Thermal behavior as indicator for hyperons in binary neutron star merger remnants
• Dense Matter in Neutron Stars with eXTP
• $\mathcal{F}t$ values of the mirror $\beta$ transitions and the weak magnetism induced current in allowed nuclear $\beta$ decay
• Confirmation of $g_{\mathrm{A}}$ quenching using the revised spectrum-shape method for the analysis of the ${}^{113}$Cd $\beta$-decay as measured with the COBRA demonstrator
• Improved structure of calcium isotopes from ab initio calculations
• Ab initio computations of strongly deformed nuclei around ${}^{80}$Zr
• Nuclear energy density functionals grounded in ab initio calculations
• Exploring the strong interaction of three-body systems at the LHC
• Ab initio studies of double Gamow-Teller transition and its correlation with neutrinoless double beta decay
• Excited states from eigenvector continuation: the anharmonic oscillator
• Towards Precision Muonic X-Ray Measurements of Charge Radii of Light Nuclei
• Zero- and finite-temperature electromagnetic strength distributions in closed- and open-shell nuclei from first principles
• ${}^{40}$Ca transverse response function from coupled-cluster theory
• Nuclear Effective Field Theories: Reverberations of the early days
• Factorized Approximation to the IMSRG(3)
• Level Structures of ${}^{56,58}$Ca Cast Doubt on a doubly magic ${}^{60}$Ca
• Spectroscopy of N=50 isotones with the valence-space density matrix renormalization group
• Gorkov algebraic diagrammatic construction formalism at third order
• IMSRG with flowing 3 body operators, and approximations thereof
• Nuclear Structure at the Crossroads
• A Bayesian mixture model approach to quantifying the empirical nuclear saturation point
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Diagrammatic ab initio methods for infinite nuclear matter with modern chiral interactions
• Recent progress in the electroweak structure of light nuclei using quantum Monte Carlo methods
• Beta Decay in Medium-Mass Nuclei with the In-Medium Similarity Renormalization Group
• Quantum Monte Carlo in Configuration Space with Three-Nucleon Forces
• Electromagnetic moments of the antimony isotopes ${}^{112-133}$Sb
• Ab initio computations from ${}^{78}$Ni towards ${}^{70}$Ca along neutron number $N=50$
• Bayesian Analysis of $\chi$EFT at Leading Order in a Modified Weinberg Power Counting Approach
• Second-Order Perturbation Theory in Continuum Quantum Monte Carlo Calculations
• Opportunities and open questions in modern $\beta$ decay
• Low-rank matrix decompositions for ab initio nuclear structure
• From chiral EFT to perturbative QCD: a Bayesian model mixing approach to symmetric nuclear matter
• Quantum Monte Carlo calculations of magnetic form factors in light nuclei
• Multivalent optical cycling centers in polyatomic molecules
• A multi-reflection time-of-flight mass spectrometer for the offline ion source of the PUMA experiment
• 16O electroweak response functions from first principles
• Optimized nuclear energy density functionals including long-range pion contributions
• Ab initio calculations of anomalous seniority breaking in the $\pi g_{9/2}$ shell for the $N=50$ isotones
• Impact of correlations on nuclear binding energies
• The nuclear charge radius of ${}^{13}\mathrm{C}$
• Perturbative computations of neutron-proton scattering observables using renormalization-group invariant $\chi$EFT up to N${}^3$LO
• A brief account of Steven Weinberg's legacy in ab initio many-body theory
• Comparing different density-matrix expansions for long-range pion exchange
• Ab initio nuclear shape coexistence and emergence of island of inversion around $N=20$
• High-precision spectroscopy of ${}^{20}$O benchmarking ab-initio calculations in light nuclei
• Least-square approach for singular value decompositions of scattering problems
• Inferring three-nucleon couplings from multi-messenger neutron-star observations
• Symmetry-projected variational calculations with the numerical suite TAURUS II. Configuration mixing of symmetry-projected reference states
• Structure and dynamics of open-shell nuclei from spherical coupled-cluster theory
• Impact of shell model interactions on nuclear responses to WIMP elastic scattering
• Generator coordinate method for nuclear octupole excitations: status and perspectives
• Ab initio calculations of overlap integrals for $\mu \to e$ conversion in nuclei
• Ab initio computations of the fourth-order charge density moments of ${}^{48}$Ca and ${}^{208}$Pb
• Addressing energy density functionals in the language of path-integrals I: Comparative study of diagrammatic techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• Perspectives on few-body cluster structures in exotic nuclei
• Uncertainties on the EFT coupling limits for direct dark matter detection experiments stemming from uncertainties of target properties
• Bayesian approach for many-body uncertainties in nuclear structure: Many-body perturbation theory for finite nuclei
• Global Framework for Emulation of Nuclear Calculations
• Importance truncation for the in-medium similarity renormalization group
• Exactness of the normal-ordered two-body truncation of three-nucleon forces
• How do mirror charge radii constrain density dependence of the symmetry energy?
• Perturbed nuclear matter studied within Density Functional Theory with a finite number of particles
• Resonances in ${}^{12}$C and ${}^{24}$Mg: what do we learn from a microscopic cluster theory?
• Connecting Relativistic Density Functional Theory to Microscopic Calculations
• Constraining Neutrinoless Double-Beta Decay Matrix Elements from Ab Initio Nuclear Theory
• Renormalization of One-Pion Exchange in Chiral Effective Field Theory for Antinucleon-Nucleon Scattering
• Posterior predictive distributions of neutron-deuteron cross sections
• IMSRG-Net: A machine learning-based solver for In-Medium Similarity Renormalization Group
• The complete inverse Kohn-Sham problem: from the density to the energy
• Longitudinal form factors of $A\le 10$ nuclei in a chiral effective field theory approach
• Computing nuclear response functions with time-dependent coupled-cluster theory
• Perturbative $\chi$EFT calculations of the deuteron and triton up to N${}^2$LO
• Modewise Johnson-Lindenstrauss Embeddings for Nuclear Many-Body Theory
• Coupling between collective modes in the deformed ${}^{98}$Zr nucleus: Insights from consistent HFB+QRPA calculations with the Gogny interaction
• The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model
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• Toward scalable quantum computations of atomic nuclei
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• Randomized Low-Rank Decompositions of Nuclear Three-Body Interactions
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• Neutron-rich nuclei and neutron skins from chiral low-resolution interactions
• Topical issue on the intersection of low-energy nuclear structure and high-energy nuclear collisions
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• From closed shells to open shells: Coupled-cluster calculations of atomic nuclei
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• Cutoff effects in Hartree-Fock calculations at leading order of chiral effective field theory
• Weinberg and few-nucleon forces
• Singular Value Decomposition and Similarity Renormalization Group Evolution of Nuclear Interactions
• Benchmarking projected generator coordinate method for nuclear Gamow-Teller transitions
• Ab initio calculations of nuclear charge radii across and beyond ${}^{132}$Sn: Putting chiral EFT nuclear interactions to the test
• Light antiproton-nucleus systems at low energies with the ab initio NCSM/RGM method
• Matrix-product state approach to the generalized nuclear pairing Hamiltonian
• Hartree-Fock emulators for nuclei: Application to charge radii of ${}^{48,52}$Ca
• In-Medium Similarity Renormalization Group at Finite Temperature
• Deformed natural orbitals for ab initio calculations
• Ab initio short-range nuclear matrix elements for neutrinoless double-beta decay
• Radioactive Molecules as Laboratories of Fundamental Physics
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• Chiral interactions and superfluidity in the calcium isotopic chain