Unified ab initio approaches to nuclear structure and reactions

Abstract

The description of nuclei starting from the constituent nucleons and the realistic interactions among them has been a long-standing goal in nuclear physics. In addition to the complex nature of the nuclear forces, with two-, three- and possibly higher many-nucleon components, one faces the quantum-mechanical many-nucleon problem governed by an interplay between bound and continuum states. In recent years, significant progress has been made in ab initio nuclear structure and reaction calculations based on input from QCD-employing Hamiltonians constructed within chiral effective field theory. After a brief overview of the field, we focus on ab initio many-body approaches - built upon the No-Core Shell Model - that are capable of simultaneously describing both bound and scattering nuclear states, and present results for resonances in light nuclei, reactions important for astrophysics and fusion research. In particular, we review recent calculations of resonances in the ${}^6$He halo nucleus, of five- and six-nucleon scattering, and an investigation of the role of chiral three-nucleon interactions in the structure of ${}^9$Be. Further, we discuss applications to the ${}^7$Be$(p,\gamma {)}^8$B radiative capture. Finally, we highlight our efforts to describe transfer reactions including the ${}^3$H$(d,n{)}^4$He fusion.

Contribution to the Special Physica Scripta Edition - 40 year anniversary - Nobel Prize '75, 71 pages, 29 figures

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• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
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• Chiral Three-Nucleon Interactions in Light Nuclei, Neutron-$\alpha$ Scattering, and Neutron Matter
• Local three-nucleon interaction from chiral effective field theory
• Evolution of shell structure in neutron-rich calcium isotopes
• 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
• Ab Initio Many-Body Calculations of n-3H, n-4He, p-{3,4}He, and n-10Be Scattering
• Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Quantum Monte Carlo calculations of neutron-alpha scattering
• Importance Truncation for Large-Scale Configuration Interaction Approaches
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He
• Ab Initio Multi-Reference In-Medium Similarity Renormalization Group Calculations of Even Calcium and Nickel Isotopes
• Four-nucleon scattering: Ab initio calculations in momentum space
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• Large basis ab initio shell model investigation of 9-Be and 11-Be
• Four-body calculation of proton-3He scattering
• Complex coupled-cluster approach to an ab-initio description of open quantum systems
• Ab initio Bogoliubov coupled cluster theory for open-shell nuclei
• Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods
• Giant and pigmy dipole resonances in 4He, 16,22O, and 40Ca from chiral nucleon-nucleon interactions
• Momentum space evolution of chiral three-nucleon forces
• Unitary Correlation Operator Method and Similarity Renormalization Group: Connections and Differences
• Ab initio computation of the 17F proton-halo state and resonances in A = 17 nuclei
• Elastic proton scattering of medium mass nuclei from coupled-cluster theory
• Elastic proton scattering on tritium below the n-${}^{3}He$ threshold
• Unified description of ${}^6$Li structure and deuterium-${}^4$He dynamics with chiral two- and three-nucleon forces
• N-d Elastic Scattering Using the Hyperspherical Harmonics Approach with Realistic Local and Non-Local Interactions
• Resonance parameters of the first 1/2+ state in 9Be and astrophysical implications
• ${}^4\mathrm{He}$+$n$+$n$ continuum within an ab initio framework
• A Predictive Theory for Elastic Scattering and Recoil of Protons from ${}^4$He
• Continuum and Three-Nucleon Force Effects on 9Be Energy Levels
• Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and $\alpha$-clustering shape ${}^6$He
• Alternative similarity renormalization group generators in nuclear structure calculations
• Ab initio calculations of reactions with light nuclei
• The No-Core Gamow Shell Model: Including the continuum in the NCSM

Cited by in corpus (121)

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• Microscopic Clustering in Light Nuclei
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Toward the discovery of matter creation with neutrinoless double-beta decay
• Neutrinoless double beta decay and neutrino mass
• Novel chiral Hamiltonian and observables in light and medium-mass nuclei
• Effective field theory description of halo nuclei
• A Next-Generation Liquid Xenon Observatory for Dark Matter and Neutrino Physics
• Converged ab initio calculations of heavy nuclei
• Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in ${}^{11}$Be?
• Optical potential from first principles
• The Soreq Applied Research Accelerator Facility (SARAF) - Overview, Research Programs and Future Plans
• ${}^3\mathrm{He}(\alpha ,\gamma ){}^7\mathrm{Be}$ and ${}^3\mathrm{H}(\alpha ,\gamma ){}^7\mathrm{Li}$ astrophysical $S$ factors from the no-core shell model with continuum
• Ab initio predictions for polarized DT thermonuclear fusion
• From bound states to the continuum
• Emergent properties of nuclei from ab initio coupled-cluster calculations
• Quantified Gamow Shell Model interaction for $psd$-shell nuclei
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• What is ab initio in nuclear theory?
• Alpha particle clusters and their condensation in nuclear systems
• Optical potentials for the rare-isotope beam era
• Novel applications of the dispersive optical model
• Two-proton emission and related phenomena
• Microscopic optical potentials for calcium isotopes
• Shell Model States in the Continuum
• Nucleosynthesis and observation of the heaviest elements
• Solution of n-${}^4$He elastic scattering problem using Faddeev-Yakubovsky equations
• Structure and decays of nuclear three-body systems: the Gamow coupled-channel method in Jacobi coordinates
• A variational study of two-nucleon systems with lattice QCD
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• How many-body correlations and $\alpha$-clustering shape ${}^6$He
• Microscopic optical potential for exotic isotopes from chiral effective field theory
• ${}^7$Be and ${}^7$Li nuclei within the no-core shell model with continuum
• Two-neutron halo structure of ${}^{31}$F
• Description of Four- and Five-Nucleon Systems by Solving Faddeev-Yakubovsky Equations in Configuration Space
• Quantifying uncertainties in neutron-alpha scattering with chiral nucleon-nucleon and three-nucleon forces
• Ab initio prediction of the ${}^4\mathrm{He}(d,\gamma ){}^6\mathrm{Li}$ big bang radiative capture
• Gamow shell model description of radiative capture reactions ${}^6$Li$(p,\gamma )$${}^7$Be and ${}^6$Li$(n,\gamma )$${}^7$Li
• Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and $\alpha$-clustering shape ${}^6$He
• Emergent Sp(3,R) dynamical symmetry in the nuclear many-body system from an ab initio description
• Scale dependence of deuteron electrodisintegration
• Nucleon-$\alpha$ Scattering and Resonances in ${}^5$He and ${}^5$Li with JISP16 and Daejeon16 $NN$ interactions
• Benchmark calculation of p-3H and n-3He scattering
• Dissecting reaction calculations using Halo EFT and ab initio input
• Ab initio calculations of low-energy nuclear scattering using confining potential traps
• The nuclear force imprints revealed on the elastic scattering of protons with ${}^{10}$C
• Towards the understanding of the genuine three-body interaction for p$-$p$-$p and p$-$p$-\Lambda$
• Proton decays in ${}^{16}$Ne and ${}^{18}$Mg and isospin-symmetry breaking in carbon isotopes and isotones
• Energy-density functionals inspired by effective-field theories: Applications to neutron drops
• Probing ab initio emergence of nuclear rotation
• Sensitivities and correlations of nuclear structure observables emerging from chiral interactions
• Implementing chiral three-body forces in terms of medium-dependent two-body forces
• Gamow Shell Model description of Li isotopes and their mirror partners
• Extracting free-space observables from trapped interacting clusters
• Testing ab initio nuclear structure in neutron-rich nuclei: lifetime measurements of second 2+ states in 16C and 20O
• From bare interactions, low--energy constants and unitary gas to nuclear density functionals without free parameters: application to neutron matter
• Ab initio informed evaluation of the radiative capture of protons on ${}^7$Be
• Structure of the exotic ${}^9$He nucleus from the no-core shell model with continuum
• Towards Precision Muonic X-Ray Measurements of Charge Radii of Light Nuclei
• Uncertainties in constraining low-energy constants from ${}^3$H $\beta$ decay
• Robust ab initio prediction of nuclear electric quadrupole observables by scaling to the charge radius
• Microscopic investigation of the ${}^8$Li($n,\gamma$)${}^9$Li reaction
• Gamow-Teller and double-beta decays of heavy nuclei within an effective theory
• Quadrupole moments and proton-neutron structure in p-shell mirror nuclei
• Nuclear reactions in artificial traps
• Composite-particle decay widths by the generator coordinate method
• The Faddeev-Yakubovsky symphony
• Efficacy of the symmetry-adapted basis for ab initio nucleon-nucleus interactions for light- and intermediate-mass nuclei
• Five-body calculation of $s$-wave $n$-${}^4$He scattering at next-to-leading order pionless effective field theory
• Ab initio translationally invariant nucleon-nucleus optical potentials
• Description of alpha-clustering of 8Be nucleus states in high-precision theoretical approach
• Non-parametric Bayesian approach to extrapolation problems in configuration interaction methods
• Coulomb Excitation of Deuteron in Peripheral Collisions with a Heavy Ion
• SS-HORSE Extension of the No-Core Shell Model: Application to Resonances in ${}^7\mathrm{H}e$
• Investigation of spectroscopic factors of deeply-bound nucleons in drip-line nuclei with the Gamow shell model
• Formation and decay of resonance state in ${}^9$Be and ${}^9$B nuclei. Microscopic three-cluster model investigations
• Constraining the nonanalytic terms in the isospin-asymmetry expansion of the nuclear equation of state
• Application of an ab-initio S-matrix to data analysis of transfer to the continuum reactions populating 11Be
• Asymptotic characteristics of decay channels of light nuclei states in the ab initio approach
• Microscopic calculation of inelastic proton scattering off ${}^{18}$O, ${}^{10}$Be, ${}^{12}$Be, and ${}^{16}$C for study of neutron excitation in neutron-rich nuclei
• The Lowest Broad Alpha Cluster Resonances in ${}^{19}$F
• Lattice Effective Field Theory Simulations of Nuclei
• Spectroscopic properties of 4He within a multiphonon approach
• Ab initio no-core shell model study of ${}^{18-23}$O and ${}^{18-24}$F isotopes
• Computational Nuclear Physics and Post Hartree-Fock Methods
• Exact restoration of Galilei invariance in density functional calculations with quantum Monte Carlo
• Calculations of $p(n,\gamma )d$ reaction in chiral effective field theory
• The radius of a typical-mass neutron star and chiral effective field theory
• Magnetic dipole transition in ${}^{48}$Ca
• Complete set of bound negative-parity states in the neutron-rich 18N nucleus
• Ab initio investigation of the ${}^7$Li($p,e^{+}{e}^{-}$)${}^8$Be process and the X17 boson
• Trineutron resonances in the SS-HORSE-NCSM approach
• King-plot analysis of isotope shifts in simple diatomic molecules
• Investigation of the pairing effect in 10B nucleus compared with 10Be and 10C nuclei by using the extended THSR wave function
• Nuclear Resonances, Scattering and Reactions from First Principles: Progress and Prospects
• Halo structure of ${}^{17}$C
• Corrections to nucleon capture cross sections computed in truncated Hilbert spaces
• Perspectives on few-body cluster structures in exotic nuclei
• Discovering Nuclear Models from Symbolic Machine Learning
• Ab initio calculations of reactions with light nuclei
• Adiabatic projection method with Euclidean time subspace projection
• A Vision for the Science of Rare Isotopes
• Neutron transfer reactions in halo effective field theory
• Chiral symmetry and peripheral neutron-$\alpha$ scattering
• Using spin alignment of inelastically-excited fast beams to make spin assignments: the spectroscopy of 13O as a test case
• Quantifying uncertainties due to irreducible three-body forces in deuteron-nucleus reactions
• ARIEL experiments and theory
• Modewise Johnson-Lindenstrauss Embeddings for Nuclear Many-Body Theory
• Computing nuclear response functions with time-dependent coupled-cluster theory
• Non-Hermitian Quantum Mechanics Approach for Extracting and Emulating Continuum Physics Based on Bound-State-Like Calculations
• A multi-channel model for an α plus ${}^6$He nucleus cluster
• A new single-particle basis for nuclear many-body calculations
• Applications of the Modified Hulthén-Kohn Method for Bound and Scattering States
• Complex-scaled no-core shell model calculations of bound and unbound nuclear states in light nuclei
• Trapped two-nucleon system in energy-dependent effective field theory
• Light antiproton-nucleus systems at low energies with the ab initio NCSM/RGM method
• Calculation of harmonic oscillator brackets in SU(3) basis
• Quantum Simulation of Nuclear Dynamics in First Quantization
• Transfer reactions as a Tool in Nuclear Astrophysics
• Proton inelastic scattering reveals deformation in ${}^8$He
• An overview of symmetric nuclear matter properties from chiral interactions up to fourth order of the chiral expansion