Similarity Renormalization Group for Nucleon-Nucleon Interactions
arXiv:nucl-th/0611045 · doi:10.1103/PhysRevC.75.061001
Abstract
The similarity renormalization group (SRG) is based on unitary transformations that suppress off-diagonal matrix elements, forcing the hamiltonian towards a band-diagonal form. A simple SRG transformation applied to nucleon-nucleon interactions leads to greatly improved convergence properties while preserving observables, and provides a method to consistently evolve many-body potentials and other operators.
5 pages, 6 figures (8 figure files); references updated and acknowledgment added
References in corpus (13)
- Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
- The two-nucleon system at next-to-next-to-next-to-leading order
- Model-independent low momentum nucleon interaction from phase shift equivalence
- Is nuclear matter perturbative with low-momentum interactions?
- Low-momentum interaction in few-nucleon systems
- No-core shell-model calculations with starting- energy-independent multi-valued effective interactions
- Matrix Elements and Few-Body Calculations within the Unitary Correlation Operator Method
- Low-momentum interactions with smooth cutoffs
- Effective theory for the two-nucleon system
- Convergence of the Born Series with Low-Momentum Interactions
- The Unitary Correlation Operator Method from a Similarity Renormalization Group Perspective
- Are low-energy nuclear observables sensitive to high-energy phase shifts?
- Effective Interactions for the Three-Body Problem
Cited by in corpus (324)
- Modern Theory of Nuclear Forces
- 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
- Evolution of shell structure in exotic nuclei
- Recent developments in no-core shell-model calculations
- Charge, neutron, and weak size of the atomic nucleus
- Three-body forces: From cold atoms to nuclei
- Discrepancy between experimental and theoretical -decay rates resolved from first principles
- Hidden pseudospin and spin symmetries and their origins in atomic nuclei
- A nucleus-dependent valence-space approach to nuclear structure
- In-Medium Similarity Renormalization Group for Nuclei
- Non-Empirical Interactions for the Nuclear Shell Model: An Update
- Nuclear Equation of State from ground and collective excited state properties of nuclei
- Structure of the lightest tin isotopes
- Ab initio limits of atomic nuclei
- Nonperturbative shell-model interactions from the in-medium similarity renormalization group
- Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
- Continuum effects and three-nucleon forces in neutron-rich oxygen isotopes
- Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
- Unified ab initio approaches to nuclear structure and reactions
- Saturation with chiral interactions and consequences for finite nuclei
- Coupled-cluster calculations of nucleonic matter
- Signatures of three-nucleon interactions in few-nucleon systems
- In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
- Ab Initio Path to Heavy Nuclei
- Novel chiral Hamiltonian and observables in light and medium-mass nuclei
- In-Medium Similarity Renormalization Group for Open-Shell Nuclei
- Density-dependent effective nucleon-nucleon interaction from chiral three-nucleon forces
- 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
- Structure of Ni from first principles computations
- Towards an ab initio covariant density functional for nuclear structure
- Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
- Radii and binding energies in oxygen isotopes: a puzzle for nuclear forces
- Toward ab initio density functional theory for nuclei
- Convergence in the no-core shell model with low-momentum two-nucleon interactions
- Ab initio description of the exotic unbound 7He nucleus
- Symmetry-guided large-scale shell-model theory
- Corrections to nuclear energies and radii in finite oscillator spaces
- A driven similarity renormalization group approach to quantum many-body problems
- Ab initio many-body calculation of the 7Be(p,gamma)8B radiative capture
- Converged ab initio calculations of heavy nuclei
- 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
- Dawning of the N=32 shell closure seen through precision mass measurements of neutron-rich titanium isotopes
- Symmetric nuclear matter with chiral three-nucleon forces in the self-consistent Green's functions approach
- Nuclear binding near a quantum phase transition
- Proton distribution radii of C illuminate features of neutron halos
- Exploring sd-shell nuclei from two- and three-nucleon interactions with realistic saturation properties
- Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
- Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in Be?
- Ab initio many-body calculations of nucleon scattering on 4He, 7Li, 7Be, 12C and 16O
- Charge radii of exotic neon and magnesium isotopes
- Evolved Chiral NN+3N Hamiltonians for Ab Initio Nuclear Structure Calculations
- Bogoliubov Many-Body Perturbation Theory for Open-Shell Nuclei
- New applications of renormalization group methods in nuclear physics
- Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory
- Hartree-Fock Many-Body Perturbation Theory for Nuclear Ground-States
- Ab initio electromagnetic observables with the in-medium similarity renormalization group
- Microscopically-based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
- P-shell nuclei using Similarity Renormalization Group evolved three-nucleon interactions
- and astrophysical factors from the no-core shell model with continuum
- 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
- Ab initio many-body calculations of deuteron-4He scattering and 6Li states
- In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
- Momentum space evolution of chiral three-nucleon forces
- Towards grounding nuclear physics in QCD
- Quenching of spectroscopic factors for proton removal in oxygen isotopes
- 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
- In-medium similarity renormalization group with three-body operators
- Emergent properties of nuclei from ab initio coupled-cluster calculations
- What is ab initio in nuclear theory?
- Ab-initio approach to effective single-particle energies in doubly closed shell nuclei
- Testing microscopically derived descriptions of nuclear collectivity: Coulomb excitation of 22Mg
- Open -shell nuclei from first principles
- Operator Evolution via the Similarity Renormalization Group I: The Deuteron
- Light Axial Vectors, Nuclear Transitions, and the Be Anomaly
- Deep learning: Extrapolation tool for ab initio nuclear theory
- Ab initio many-body calculations of nucleon-4He scattering with three-nucleon forces
- Ab-initio computation of neutron-rich oxygen isotopes
- Ab initio computation of charge densities for Sn and Xe isotopes
- Coherent elastic neutrino-nucleus scattering on 40Ar from first principles
- Electric dipole polarizability from first principles calculations
- Living on the edge of stability, the limits of the nuclear landscape
- Ab initio coupled-cluster theory for open-shell nuclei
- Correlated Fermion Pairs in Nuclei and Ultracold Atomic Gases
- Natural orbitals for ab initio no-core shell model calculations
- Coulomb-Sturmian basis for the nuclear many-body problem
- Exploring the anomaly in the interaction cross section and matter radius of 23O
- Probing chiral interactions up to next-to-next-to-next-to-leading order in medium-mass nuclei
- Improved many-body expansions from eigenvector continuation
- Fully self-consistent relativistic Brueckner-Hartree-Fock theory for finite nuclei
- Unified description of Li structure and deuterium-He dynamics with chiral two- and three-nucleon forces
- Wavefunction matching for solving quantum many-body problems
- Systematics of E2 strength in the sd-shell with the valence-space in-medium similarity renormalization group
- Neutron matter at finite temperature based on chiral effective field theory interactions
- nuclear many-body perturbation calculations in the Hartree-Fock basis
- An integral-factorized implementation of the driven similarity renormalization group second-order multireference perturbation theory
- Light Neutron-Rich Hypernuclei from the Importance-Truncated No-Core Shell Model
- New Ideas in Constraining Nuclear Forces
- Short-range correlations in nuclei with similarity renormalization group transformations
- Block Diagonalization using SRG Flow Equations
- Ultraviolet extrapolations in finite oscillator bases
- Shell-model coupled-cluster method for open-shell nuclei
- Nucleon-Nucleon Interaction: A Typical/Concise Review
- Infrared extrapolations for atomic nuclei
- Calculation of the Li ground state within the hyperspherical harmonic basis
- Ab initio Gamow in-medium similarity renormalization group with resonance and continuum
- Open-Shell Nuclei from No-Core Shell Model with Perturbative Improvement
- Induced Hyperon-Nucleon-Nucleon Interactions and the Hyperon Puzzle
- How many-body correlations and -clustering shape He
- Neutron Structure Functions
- Unitary correlation in nuclear reaction theory
- Microscopic optical potentials derived from ab initio translationally invariant nonlocal one-body densities
- Nuclear matter in relativistic Brueckner-Hartree-Fock theory with Bonn potential in the full Dirac space
- The contribution of chiral three-body forces to the monopole component of the effective shell-model Hamiltonian
- Be and 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
- Density Matrix Expansion for Low-Momentum Interactions
- Time-dependent coupled-cluster method for atomic nuclei
- Computing the dipole polarizability of 48Ca with increased precision
- Effective-interaction approach to the many-boson problem
- High-momentum tails from low-momentum effective theories
- Hypernuclear No-Core Shell Model
- Pade-resummed high-order perturbation theory for nuclear structure calculations
- Evidence for Z=6 `magic number' in neutron-rich carbon isotopes
- Nuclear spin-dependent parity-violating effects in light polyatomic molecules
- A Predictive Theory for Elastic Scattering and Recoil of Protons from He
- The roles of three-nucleon force and continuum coupling in mirror symmetry breaking of oxygen mass region
- Effective field theory in the harmonic oscillator basis
- Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions
- Continuum and Three-Nucleon Force Effects on 9Be Energy Levels
- A new calculation for D(e,e'p)n at GeV energies
- Helium halo nuclei from low-momentum interactions
- On the superfluid properties of the inner crust of neutron stars
- Neutron stars and the dense matter equation of state: from microscopic theory to macroscopic observations
- Spherical coupled-cluster theory for open-shell nuclei
- Decoupling in the Similarity Renormalization Group for Nucleon-Nucleon Forces
- Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and -clustering shape He
- Three-cluster dynamics within an ab initio framework
- Neutron matter based on consistently evolved chiral three-nucleon interactions
- Spin-orbit decomposition of ab initio wavefunctions
- The Renormalization Group in Nuclear Physics
- Renormalization of the leading-order chiral nucleon-nucleon interaction and bulk properties of nuclear matter
- Scale dependence of deuteron electrodisintegration
- Resonances of isospin triplet states within the \textit{ab initio} no-core Gamow shell model
- Effective Field Theory and Finite Density Systems
- Bogoliubov many-body perturbation theory under constraint
- Jacobi no-core shell model for -shell hypernuclei
- Challenges in Nuclear Structure Theory
- A similarity renormalization group approach to Green's function methods
- Partial-wave contributions to pairing in nuclei
- Systematics of binding energies and radii based on realistic two-nucleon plus phenomenological three-nucleon interactions
- The nuclear force imprints revealed on the elastic scattering of protons with C
- Ab-initio no-core shell model study of B isotopes with realistic NN interactions
- Pairing in the Framework of the Unitary Correlation Operator Method (UCOM): Hartree-Fock-Bogoliubov Calculations
- Precision mass measurements of Cd isotopes and isomers approaching the closed shell
- In-Medium Similarity Renormalization Group Approach to the Nuclear Many-Body Problem
- Towards a Renormalization Group Approach to Density Functional Theory - General Formalism and Case Studies -
- Jacobi no-core shell model for p-shell nuclei
- Multiscale physics of atomic nuclei from first principles
- Triplet Pairing in pure neutron matter
- Impurities in a one-dimensional Bose gas: the flow equation approach
- The impact of bound states on similarity renormalization group transformations
- Similarity Renormalization Group Evolution of Many-Body Forces in a One-Dimensional Model
- Ab Initio Excited States from the In-Medium Similarity Renormalization Group
- Symmetries of the Similarity Renormalization Group for Nuclear Forces
- Sensitivities and correlations of nuclear structure observables emerging from chiral interactions
- Testing isospin symmetry breaking in ab initio nuclear theory
- Normal-ordered -body approximation in particle-number-breaking theories
- Spectra of Open-Shell Nuclei with Padé-Resummed Degenerate Perturbation Theory
- Similarity Renormalization Group Evolution of Three-Nucleon Forces in a Hyperspherical Momentum Representation
- Reorientation-effect measurement of the first 2 state in C: confirmation of oblate deformation
- An strategy for taming nuclear-structure dependence of extractions: the superallowed transition
- The renormalisation group and nuclear forces
- Pre-processing the nuclear many-body problem: Importance truncation versus tensor factorization techniques
- Three-neutron resonance study using transition operators
- Separable Representation of Phenomenological Optical Potentials of Woods-Saxon Type
- Eft for DFT
- Tensor-decomposition techniques for ab initio nuclear structure calculations. From chiral nuclear potentials to ground-state energies
- Excited states from eigenvector continuation: the anharmonic oscillator
- Structure of the exotic He nucleus from the no-core shell model with continuum
- Zero-pairing limit of Hartree-Fock-Bogoliubov reference states
- Implicit vs Explicit Renormalization and Effective Interactions
- Weinberg Eigenvalues and Pairing with Low-Momentum Potentials
- Machine Learning for the Prediction of Converged Energies from Ab Initio Nuclear Structure Calculations
- Double-magicity of proton drip-line nucleus Si with \textit{ab initio} calculation
- Microscopic investigation of the Li()Li reaction
- Sensitivity of (d,p) reactions to high n-p momenta and the consequences for nuclear spectroscopy studies
- The Similarity Renormalization Group with Novel Generators
- Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
- Analysis of clustering phenomena in ab initio approaches
- Recent progress in configuration-interaction shell model
- hypernuclei based on interactions from chiral effective field theory
- Quadrupole moments and proton-neutron structure in p-shell mirror nuclei
- Ab initio calculations of electric dipole moments of light nuclei
- Three-Body Forces Produced by a Similarity Renormalization Group Transformation in a Simple Model
- Nuclear Structure from the In-Medium Similarity Renormalization Group
- Extrapolation uncertainties in the importance-truncated No-Core Shell Model
- Short-depth circuits for efficient expectation value estimation
- Natural orbitals for the ab initio no-core configuration interaction approach
- Ab initio descriptions of mirror nuclei with resonance and continuum coupling
- Low-momentum interactions in three- and four-nucleon scattering
- Shell-model study of mirror nuclei with modern charge-dependent \textit{NN} potential
- Ab initio no-core shell model description of C isotopes
- Description of alpha-clustering of 8Be nucleus states in high-precision theoretical approach
- Real-Space Imaginary-Time Propagators for Non-Local Nucleon-Nucleon Potentials
- Ab initio coupled-cluster and configuration interaction calculations for 16-O using V_UCOM
- Precision mass measurements of magnesium isotopes and implications on the validity of the Isobaric Mass Multiplet Equation
- Effective interactions and operators in no-core shell model
- Effective shell-model interaction for nuclei southeast of Sn
- Asymptotic characteristics of decay channels of light nuclei states in the ab initio approach
- Coulomb excitation of the , mirror pair
- Spectroscopy of Sc and ab initio calculations of strengths
- Nucleon-nucleon scattering with the Complex Scaling Method and realistic interactions
- Local Projections of Low-Momentum Potentials
- High-resolution momentum distributions from low-resolution wave functions
- Properties of infrared extrapolations in a harmonic oscillator basis
- Incorporating Brueckner-Hartree-Fock correlations in the Density Matrix Expansion approach
- Electromagnetic properties of O for benchmarking nuclear Hamiltonians
- From nucleons to nuclei to fusion reactions
- Fixed points of the Similarity Renormalization Group and the Nuclear Many-Body Problem
- Muon Capture on Li, C, and O from Nuclear Theory
- Low-rank matrix decompositions for ab initio nuclear structure
- Spectroscopic properties of 4He within a multiphonon approach
- Multiresolution decomposition of quantum field theories using wavelet bases
- Ground-state properties of doubly magic nuclei from the unitary-model-operator approach with the chiral two- and three-nucleon forces
- Ab initio no-core shell model study of O and F isotopes
- Operator evolution from the similarity renormalization group and the Magnus expansion
- Ab initio estimation of strengths in Li and its neighbors by normalization to the measured quadrupole moment
- The quasi-deuteron model at low RG resolution
- Universality in Similarity Renormalization Group Evolved Potential Matrix Elements and T-Matrix Equivalence
- No-Core Shell Model Analysis of Light Nuclei
- Ab-initio no-core shell model study of Ne isotopes
- The nuclear charge radius of
- Alternative similarity renormalization group generators in nuclear structure calculations
- High-precision -value measurement of the superallowed emitter Mg and an evaluation of the isobaric triplet
- Elementary example of exact effective-Hamiltonian computation
- Study of structure and radii for Na isotopes using microscopic interactions
- Coupled-cluster theory for strong entanglement in nuclei
- Magnetic dipole transition in Ca
- Density Functional Theory with Spatial-Symmetry Breaking and Configuration Mixing
- Weak sensitivity of three-body () reactions to force models
- Nucleon-nucleon resonances at intermediate energies using a complex energy formalism
- Ab initio no-core shell model study of neutron-rich C isotopes
- Rotational bands beyond the Elliott model
- Renormalization group and Fermi liquid theory for many-nucleon systems
- Ab initio investigation of the Li()Be process and the X17 boson
- Brueckner-Hartree-Fock and its renormalized calculations for finite nuclei
- Equivalent Hamiltonians
- Comparative study of He -decay based on different similarity-renormalization-group evolved chiral interactions
- Comparison of renormalized interactions using one-dimensional few-body systems as a testbed
- Nuclear Physics without High-Momentum Potentials: Constructing the Nuclear Effective Interaction Directly from Scattering Observables
- How to renormalize coupled cluster theory
- Magnetic moments of nuclei with chiral effective field theory operators
- SU(3)-guided Realistic Nucleon-nucleon Interactions for Large-scale Calculations
- Three-Body Bound State Calculations by Using Three-Dimensional Low Momentum Interaction
- Structure of odd-mass Ne, Na, and Mg nuclei
- The Similarity Renormalization Group for Three-Body Interactions in One Dimension
- Two-dimensional extrapolation procedure for ab initio study of nuclear size parameters and the properties of halo nucleus 6He
- Nonperturbative renormalization of the neutrinoless double-beta operator in p-shell nuclei
- What hath Weinberg wrought? Reflections on what Weinberg's papers on 'Nuclear Forces from Chiral Lagrangians' did and did not accomplish
- Ab initio calculations of overlap integrals for conversion in nuclei
- Progress and challenges in the theory of nuclei
- Unmixing symmetries
- Importance truncation for the in-medium similarity renormalization group
- Nuclear structure properties of Si and P isotopes with the microscopic effective interactions
- Ab initio calculations of reactions with light nuclei
- Quadrupole dynamics of carbon isotopes and 10Be
- From spin to pseudospin symmetry: The origin of magic numbers in nuclear structure
- Spectroscopic factor calculations in the \textit{ab initio} no-core shell model
- Ab Initio Theory of Light-ion Reactions
- Detailed spectroscopy of Ca: A study of the decay of K
- Harmonic-oscillator excitations of precise few-body wave functions
- Neutron-nucleus dynamics simulations for quantum computers
- High-Precision Ab Initio Radius Calculations of Boron Isotopes
- The infrared limit of the Similarity Renormalization Group evolution and Levinson's theorem
- Discovery vs. Precision in Nuclear Physics- A Tale of Three Scales
- Implicit and explicit renormalization: two complementary views of effective interactions
- Using spin alignment of inelastically-excited fast beams to make spin assignments: the spectroscopy of 13O as a test case
- Many-body fits of phase-equivalent effective interactions
- Quantifying uncertainties due to irreducible three-body forces in deuteron-nucleus reactions
- Calculations for nuclear matter and finite nuclei within and beyond energy--density--functional theories through interactions guided by effective field theory
- Daejeon16 interaction with contact-term corrections for heavy nuclear systems
- Similarity Renormalization Group for Few-Body Systems
- Renormalization group evolution of optical potentials: explorations using a toy model
- Nuclear kinetic density from ab initio theory
- Three-Nucleon Forces
- Robust ab initio predictions for dimensionless ratios of E2 and radius observables. I. Electric quadrupole moments and deformation
- Ab initio NCSM/RGM for three-body cluster systems and application to He+n+n
- Progress on Light-Ion Fusion Reactions with Three-Nucleon Forces
- Quantum stress and torsion distributions in the deuteron
- Complex-energy eigenvector continuation for nuclear many-body broad resonances
- Effect of a realistic three-body force on the spectra of medium-mass hypernuclei
- Neutron-rich nuclei and neutron skins from chiral low-resolution interactions
- Towards an ab initio description of the light-nuclei radiative captures
- Four-body system of atoms: Dimer-dimer scattering
- Properties of a separable representation of optical potentials
- Addition and removal energies of circular quantum dots
- Tracing the evolution of nuclear forces under the similarity renormalization group
- Effect of residual many-body forces due to the evolution in the in-medium similarity renormalization group method
- Induced three-neutron interactions with low cutoffs for dilute neutron matter
- From nucleon-nucleon interaction matrix elements in momentum space to an operator representation
- Nuclear Matrix Elements for Double-Beta Decay
- Many-body calculations with Deuteron based single-particle bases and their associated natural orbits
- Finite particle-number description of symmetric nuclear matter with spin excitations of high-momentum pairs induced by tensor force
- Decay spectroscopy of Sc and Sc to Ti
- Ab initio study of Z(N) = 6 magicity
- Nuclei and chiral dynamics
- Ab initio no-core shell-model study of Na isotopes
- Uncertainties in tellurium-based dark matter searches stemming from nuclear structure uncertainties
- Fixed points of the SRG evolution and the on-shell limit of the nuclear force
- Nucleon-nucleon potentials in phase-space representation
- Light antiproton-nucleus systems at low energies with the ab initio NCSM/RGM method
- Theoretical calculation of nuclear reactions of interest for Big Bang Nucleosynthesis
- Quantum State Preparation with Resolution Refinement
- On-shell transition of SRG and nuclear systems
- Advances in the ab initio description of nuclear three-cluster systems
- Elastic proton scattering off non-zero spin nuclei
- Proton inelastic scattering reveals deformation in He