Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group

Abstract

The first practical method to evolve many-body nuclear forces to softened form using the Similarity Renormalization Group (SRG) in a harmonic oscillator basis is demonstrated. When applied to He4 calculations, the two- and three-body oscillator matrix elements yield rapid convergence of the ground-state energy with a small net contribution of the induced four-body force.

4 pages, 5 figures, PRL published version

References in corpus (16)

• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Three-Nucleon Forces from Chiral Effective Field Theory
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• 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
• Local three-nucleon interaction from chiral effective field theory
• Low-momentum interaction in few-nucleon systems
• Convergence in the no-core shell model with low-momentum two-nucleon interactions
• Spectra and binding energy predictions of chiral interactions for 7Li
• Low-momentum interactions with smooth cutoffs
• Block Diagonalization using SRG Flow Equations
• Are low-energy nuclear observables sensitive to high-energy phase shifts?
• Decoupling in the Similarity Renormalization Group for Nucleon-Nucleon Forces
• Similarity Renormalization Group Evolution of Many-Body Forces in a One-Dimensional Model
• The impact of bound states on similarity renormalization group transformations
• Three-Body Forces Produced by a Similarity Renormalization Group Transformation in a Simple Model

Cited by in corpus (159)

• Improved nuclear matter calculations from chiral low-momentum interactions
• Coupled-cluster computations of atomic nuclei
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Three-body forces: From cold atoms to nuclei
• Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• In-Medium Similarity Renormalization Group for Nuclei
• 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
• Nonperturbative shell-model interactions from the in-medium similarity renormalization group
• Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
• Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
• Unified ab initio approaches to nuclear structure and reactions
• Ab Initio Calculations of Even Oxygen Isotopes with Chiral Two- Plus Three-Nucleon Interactions
• Signatures of three-nucleon interactions in few-nucleon systems
• Ab Initio Path to Heavy Nuclei
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Leading chiral three-nucleon forces along isotope chains in the calcium region
• Novel chiral Hamiltonian and observables in light and medium-mass nuclei
• Ab-initio coupled-cluster effective interactions for the shell model: Application to neutron-rich oxygen and carbon isotopes
• Isotopic chains around oxygen from evolved chiral two- and three-nucleon interactions
• Ab-initio Gorkov-Green's function calculations of open-shell nuclei
• Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He
• The Magnus expansion and the in-medium similarity renormalization group
• Ab-initio self-consistent Gorkov-Green's function calculations of semi-magic nuclei - I. Formalism at second order with a two-nucleon interaction
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Ab Initio Multi-Reference In-Medium Similarity Renormalization Group Calculations of Even Calcium and Nickel Isotopes
• Ab initio many-body calculation of the 7Be(p,gamma)8B radiative capture
• Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians
• Ab initio many-body calculations of the 3H(d,n)4He and 3He(d,p)4He fusion
• Convergence properties of {\itshape ab initio} calculations of light nuclei in a harmonic oscillator basis
• Exploring sd-shell nuclei from two- and three-nucleon interactions with realistic saturation properties
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• Ab-initio No-Core Gamow Shell Model calculations with realistic interactions
• Ab initio many-body calculations of nucleon scattering on 4He, 7Li, 7Be, 12C and 16O
• Lattice effective field theory calculations for A = 3,4,6,12 nuclei
• Universal properties of infrared oscillator basis extrapolations
• Evolved Chiral NN+3N Hamiltonians for Ab Initio Nuclear Structure Calculations
• Properties of the nuclear medium
• Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces
• New applications of renormalization group methods in nuclear physics
• Chiral three-nucleon forces and the evolution of correlations along the oxygen isotopic chain
• Ab initio electromagnetic observables with the in-medium similarity renormalization group
• P-shell nuclei using Similarity Renormalization Group evolved three-nucleon interactions
• ${}^3\mathrm{He}(\alpha ,\gamma ){}^7\mathrm{Be}$ and ${}^3\mathrm{H}(\alpha ,\gamma ){}^7\mathrm{Li}$ astrophysical $S$ factors from the no-core shell model with continuum
• Ab Initio Description of p-Shell Hypernuclei
• Ab Initio Description of Open-Shell Nuclei: Merging No-Core Shell Model and In-Medium Similarity Renormalization Group
• Ab Initio Calculations of Medium-Mass Nuclei with Explicit Chiral 3N Interactions
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• Momentum space evolution of chiral three-nucleon forces
• Few- and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces
• Infrared length scale and extrapolations for the no-core shell model
• Non-observable nature of the nuclear shell structure. Meaning, illustrations and consequences
• Ab initio computation of the 17F proton-halo state and resonances in A = 17 nuclei
• In-medium similarity renormalization group with three-body operators
• Ab-initio approach to effective single-particle energies in doubly closed shell nuclei
• What is ab initio in nuclear theory?
• Extension of coupled-cluster theory with a non-iterative treatment of connected triply excited clusters to three-body Hamiltonians
• Operator Evolution via the Similarity Renormalization Group I: The Deuteron
• Ab initio many-body calculations of nucleon-4He scattering with three-nucleon forces
• Living on the edge of stability, the limits of the nuclear landscape
• Unified description of ${}^6$Li structure and deuterium-${}^4$He dynamics with chiral two- and three-nucleon forces
• Computational Nuclear Quantum Many-Body Problem: The UNEDF Project
• Neutron matter at finite temperature based on chiral effective field theory interactions
• One spatial dimensional finite volume three-body interaction for a short-range potential
• An integral-factorized implementation of the driven similarity renormalization group second-order multireference perturbation theory
• $Ab$ $initio$ nuclear many-body perturbation calculations in the Hartree-Fock basis
• Short-range correlations in nuclei with similarity renormalization group transformations
• Calculation of the ${}^6$Li ground state within the hyperspherical harmonic basis
• Short-range correlation physics at low RG resolution
• Induced Hyperon-Nucleon-Nucleon Interactions and the Hyperon Puzzle
• Microscopic optical potentials derived from ab initio translationally invariant nonlocal one-body densities
• ${}^7$Be and ${}^7$Li nuclei within the no-core shell model with continuum
• Open-Shell Nuclei and Excited States from Multi-Reference Normal-Ordered Hamiltonians
• Operator evolution for ab initio nuclear theory
• Structure of A = 7 - 8 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• ${}^4\mathrm{He}$+$n$+$n$ continuum within an ab initio framework
• Hypernuclear No-Core Shell Model
• Nuclear spin-dependent parity-violating effects in light polyatomic molecules
• A Predictive Theory for Elastic Scattering and Recoil of Protons from ${}^4$He
• Effective field theory in the harmonic oscillator basis
• Continuum and Three-Nucleon Force Effects on 9Be Energy Levels
• Ab initio prediction of the ${}^4\mathrm{He}(d,\gamma ){}^6\mathrm{Li}$ big bang radiative capture
• Quasiparticle Random Phase Approximation with Interactions from the Similarity Renormalization Group
• Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and $\alpha$-clustering shape ${}^6$He
• Systematics of 2+ states in C isotopes from the ab initio no-core shell model
• Spin-orbit decomposition of ab initio wavefunctions
• The Renormalization Group in Nuclear Physics
• Ab Initio study of neutron drops with chiral Hamiltonians
• Neutron matter based on consistently evolved chiral three-nucleon interactions
• Bogoliubov many-body perturbation theory under constraint
• Systematics of binding energies and radii based on realistic two-nucleon plus phenomenological three-nucleon interactions
• Jacobi no-core shell model for p-shell nuclei
• In-Medium Similarity Renormalization Group Approach to the Nuclear Many-Body Problem
• Infrared extrapolations of quadrupole moments and transitions
• Impurities in a one-dimensional Bose gas: the flow equation approach
• ${}^{12}$C properties with evolved chiral three-nucleon interactions
• Deuteron-induced nucleon transfer reactions within an ab initio framework: First application to p-shell nuclei
• Sensitivities and correlations of nuclear structure observables emerging from chiral interactions
• Symmetries of the Similarity Renormalization Group for Nuclear Forces
• Similarity Renormalization Group Evolution of Three-Nucleon Forces in a Hyperspherical Momentum Representation
• The renormalisation group and nuclear forces
• 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
• Microscopic investigation of the ${}^8$Li($n,\gamma$)${}^9$Li reaction
• The Similarity Renormalization Group with Novel Generators
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• Ab initio calculations of electric dipole moments of light nuclei
• Nuclear Structure from the In-Medium Similarity Renormalization Group
• Extrapolation uncertainties in the importance-truncated No-Core Shell Model
• IMSRG with flowing 3 body operators, and approximations thereof
• Decoupling of Spurious Deep Bound States with the Similarity Renormalization Group
• Deuteron electrodisintegration with unitarily evolved potentials
• Effective interactions and operators in no-core shell model
• Properties of infrared extrapolations in a harmonic oscillator basis
• Local Projections of Low-Momentum Potentials
• From nucleons to nuclei to fusion reactions
• Fixed points of the Similarity Renormalization Group and the Nuclear Many-Body Problem
• Spectroscopic properties of 4He within a multiphonon approach
• Many-body Propagator Theory with Three-Body Interactions: a Path to Exotic Open Shell Isotopes
• Ground-state properties of doubly magic nuclei from the unitary-model-operator approach with the chiral two- and three-nucleon forces
• Shell model results for nuclear ${\beta }^{-}$-decay properties of $sd$ shell nuclei
• The quasi-deuteron model at low RG resolution
• No-Core Shell Model Analysis of Light Nuclei
• Alternative similarity renormalization group generators in nuclear structure calculations
• Ab initio investigation of the ${}^7$Li($p,e^{+}{e}^{-}$)${}^8$Be process and the X17 boson
• The six-nucleon Yakubovsky equations for 6He
• Uncertainties in ab initio nuclear structure calculations with chiral interactions
• How to renormalize coupled cluster theory
• Microscopic two-nucleon overlaps and knockout reactions from ${}^{12}$C
• The Born series for $S$-wave quartet $nd$ scattering at small cutoff values
• The Similarity Renormalization Group for Three-Body Interactions in One Dimension
• Three-nucleon forces in exotic open-shell isotopes
• Ab initio calculations of reactions with light nuclei
• From spin to pseudospin symmetry: The origin of magic numbers in nuclear structure
• Ab Initio Theory of Light-ion Reactions
• Unmixing symmetries
• Many-body interactions and nuclear structure
• Nucleon-deuteron scattering with the JISP16 potential
• Using spin alignment of inelastically-excited fast beams to make spin assignments: the spectroscopy of 13O as a test case
• Giant Resonances based on Unitarily Transformed Two-Nucleon plus Phenomenological Three-Nucleon Interactions
• Implicit and explicit renormalization: two complementary views of effective interactions
• Nuclear multipole responses from chiral effective field theory interaction
• Discovery vs. Precision in Nuclear Physics- A Tale of Three Scales
• Introduction - Strong interaction in the nuclear medium: new trends
• Nuclear kinetic density from ab initio theory
• Three-Nucleon Forces
• Deuteron-equivalent and phase-equivalent interactions within light nuclei
• Tracing the evolution of nuclear forces under the similarity renormalization group
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
• Towards an ab initio description of the light-nuclei radiative captures
• Many-body calculations with Deuteron based single-particle bases and their associated natural orbits
• Ab initio Bogoliubov many-body perturbation theory: closed-form constraint on the average particle number
• Singular Value Decomposition and Similarity Renormalization Group Evolution of Nuclear Interactions
• Theoretical calculation of nuclear reactions of interest for Big Bang Nucleosynthesis
• Fixed points of the SRG evolution and the on-shell limit of the nuclear force
• Elastic proton scattering off non-zero spin nuclei
• On-shell transition of SRG and nuclear systems