Modern Ab Initio Approaches and Applications in Few-Nucleon Physics with A \ge 4

Abstract

We present an overview of the evolution of ab initio methods for few-nucleon systems with A \ge 4, tracing the progress made that today allows precision calculations for these systems. First a succinct description of the diverse approaches is given. In order to identify analogies and differences the methods are grouped according to different formulations of the quantum mechanical many-body problem. Various significant applications from the past and present are described. We discuss the results with emphasis on the developments following the original implementations of the approaches. In particular we highlight benchmark results which represent important milestones towards setting an ever growing standard for theoretical calculations. This is relevant for meaningful comparisons with experimental data. Such comparisons may reveal whether a specific force model is appropriate for the description of nuclear dynamics.

extension of the previous version from 70 to 78 pages, 24 figures, 17 tables, in press: Progress in Particle and Nuclear Physics

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• Chiral effective field theory and nuclear forces
• Recent developments in no-core shell-model calculations
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
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• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• 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
• Quantum Monte Carlo calculations of neutron-alpha scattering
• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• Efimov Physics in Cold Atoms
• Nuclear Structure in the Framework of the Unitary Correlation Operator Method
• Microscopic calculation of the 3He(alpha,gamma)7Be and 3H(alpha,gamma)7Li capture cross sections using realistic interactions
• Four-nucleon scattering: Ab initio calculations in momentum space
• Ab initio four-body calculation of n-3He, p-3H, and d-d scattering
• Large basis ab initio shell model investigation of 9-Be and 11-Be
• Four-body calculation of proton-3He scattering
• Solution of the center-of-mass problem in nuclear structure calculations
• Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory
• Quantum Monte Carlo calculations of electroweak transition matrix elements in A = 6,7 nuclei
• Proton-${}^3$He elastic scattering at low energies
• The ${}^4$He total photo-absorption cross section with two- plus three-nucleon interactions from chiral effective field theory
• Low energy $n-\nuc{3}{H}$ scattering : a novel testground for nuclear interaction
• Elastic proton scattering on tritium below the n-${}^{3}He$ threshold
• Ab initio coupled-cluster theory for open-shell nuclei
• Charge radii and electromagnetic moments of Li and Be isotopes from the ab initio no-core shell model
• Four-nucleon system with $\Delta$-isobar excitation
• Can realistic nuclear interactions tolerate a resonant tetraneutron ?
• Thermal neutron captures on $d$ and ${}^3$He
• Neutron-${}^3$H scattering above the four-nucleon breakup threshold
• Non-symmetrized hyperspherical harmonic basis for $A$-bodies
• Role of final state interaction and of three-body force on the longitudinal response function of 4He
• Ab initio study of the photoabsorption of ${}^4$He
• Auxiliary Field Diffusion Monte Carlo calculation of nuclei with A<40 with tensor interactions
• Inclusive electron scattering off 4He
• 6He beta-decay rate and the suppression of the axial constant in nuclear matter
• Benchmark calculation of inclusive electromagnetic responses in the four-body nuclear system
• Ground-state and single-particle energies of nuclei around ^{16}O, ^{40}Ca, and ^{56}Ni from realistic nucleon-nucleon forces
• Closed-shell properties of ${}^{24}$O with {\em ab initio} coupled-cluster theory
• Benchmark calculation of no-core Monte Carlo shell model in light nuclei
• The six-nucleon Yakubovsky equations for 6He
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Cited by in corpus (51)

• Quantum Monte Carlo methods for nuclear physics
• Coupled-cluster computations of atomic nuclei
• Evolution of shell structure in exotic nuclei
• Uncertainty analysis and order-by-order optimization of chiral nuclear interactions
• Covariant approximation averaging
• N3LO NN interaction adjusted to light nuclei in ab exitu approach
• Symmetry-guided large-scale shell-model theory
• New applications of renormalization group methods in nuclear physics
• Electromagnetic and neutral-weak response functions of 4He and 12C
• What is ab initio in nuclear theory?
• Living on the edge of stability, the limits of the nuclear landscape
• Electromagnetic Structure of Few-Nucleon Ground States
• Bound state techniques to solve the multiparticle scattering problem
• The isoscalar monopole resonance of the alpha particle: a prism to nuclear Hamiltonians
• The Theory of Parity Violation in Few-Nucleon Systems
• Ab initio calculation of nuclear structure corrections in muonic atoms
• Computing the dipole polarizability of 48Ca with increased precision
• Spherical coupled-cluster theory for open-shell nuclei
• Nucleon-$\alpha$ Scattering and Resonances in ${}^5$He and ${}^5$Li with JISP16 and Daejeon16 $NN$ interactions
• Resonances of $A=4$ $T=1$ isospin triplet states within the \textit{ab initio} no-core Gamow shell model
• Ab-initio no-core shell model study of ${}^{10-14}$B isotopes with realistic NN interactions
• Emergence of clusters: Halos, Efimov states, and experimental signals
• Few-body calculations of $\eta$-nuclear quasibound states
• Microscopic description of translationally-invariant core+N+N overlap functions
• Zemach moments and radii of 2,3H and 3,4He
• Universality of nucleon-nucleon short-range correlations and nucleon momentum distributions
• Nuclear energy density functionals grounded in ab initio calculations
• Relativistic effects in ab-initio electron-nucleus scattering
• Is the first excited state of the $\alpha$-particle a breathing mode?
• Ground-state properties of light $4n$ self-conjugate nuclei in $ab$ $initio$ no-core Monte Carlo shell model calculations with nonlocal $NN$ interactions
• Description of alpha-clustering of 8Be nucleus states in high-precision theoretical approach
• SS-HORSE Extension of the No-Core Shell Model: Application to Resonances in ${}^7\mathrm{H}e$
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Nonsymmetrized hyperspherical harmonics with realistic NN potentials
• Uncertainty quantification in electromagnetic observables of nuclei
• Energy Resolution with the Lorentz integral transform
• Spectroscopic properties of 4He within a multiphonon approach
• Improved description of light nuclei through chiral effective field theory at leading order
• Ab-initio no-core shell model study of ${}^{18-24}$Ne isotopes
• 16O electroweak response functions from first principles
• A combined mean-field and three-body model tested on the ${}^{26}$O-nucleus
• Corrections to nucleon capture cross sections computed in truncated Hilbert spaces
• Computing an orthonormal basis of symmetric or antisymmetric hyperspherical harmonics
• Combined few-body and mean-field model for nuclei
• A Vision for the Science of Rare Isotopes
• Formulation of effective interaction in terms of renormalized vertices and propagators
• Integral transform methods: a critical review of various kernels
• The complete inverse Kohn-Sham problem: from the density to the energy
• Calculation of the astrophysical S-factor S_12 with the Lorentz integral transform
• Calculation of Dynamical Response Functions Using a Bound-state Method
• Few-body semiclassical approach to nucleon transfer and emission reactions