In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions

Abstract

We use the recently proposed In-Medium Similarity Renormalization Group (IM-SRG) to carry out a systematic study of closed-shell nuclei up to $\nuc{Ni}{56}$, based on chiral two- plus three-nucleon interactions. We analyze the capabilities of the IM-SRG by comparing our results for the ground-state energy to Coupled Cluster calculations, as well as to quasi-exact results from the Importance-Truncated No-Core Shell Model. Using chiral two- plus three-nucleon Hamiltonians whose resolution scales are lowered by free-space SRG evolution, we obtain good agreement with experimental binding energies in $\nuc{He}{4}$ and the closed-shell oxygen isotopes, while the calcium and nickel isotopes are somewhat overbound.

11 pages, 7 figures, submitted to Phys. Rev. C

References in corpus (30)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• From low-momentum interactions to nuclear structure
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Recent developments in no-core shell-model calculations
• Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions
• Local three-nucleon interaction from chiral effective field theory
• In-Medium Similarity Renormalization Group for Nuclei
• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• Similarity-Transformed Chiral NN+3N Interactions for the Ab Initio Description of 12-C and 16-O
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Subleading contributions to the chiral three-nucleon force II: Short-range terms and relativistic corrections
• Importance Truncation for Large-Scale Configuration Interaction Approaches
• Coupled-cluster theory for three-body Hamiltonians
• In-Medium Similarity Renormalization Group for Open-Shell Nuclei
• Ab-initio Gorkov-Green's function calculations of open-shell nuclei
• A canonical transformation theory from extended normal ordering
• Corrections to nuclear energies and radii in finite oscillator spaces
• A numerical canonical transformation approach to quantum many body problems
• Ab initio many-body calculation of the 7Be(p,gamma)8B radiative capture
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• Ab Initio Calculations of Medium-Mass Nuclei with Explicit Chiral 3N Interactions
• Momentum space evolution of chiral three-nucleon forces
• Pade-resummed high-order perturbation theory for nuclear structure calculations
• Pairing in the Framework of the Unitary Correlation Operator Method (UCOM): Hartree-Fock-Bogoliubov Calculations
• Spectra of Open-Shell Nuclei with Padé-Resummed Degenerate Perturbation Theory
• Treatment of the Intrinsic Hamiltonian in Particle-Number Nonconserving Theories

Cited by in corpus (129)

• Coupled-cluster computations of atomic nuclei
• Accurate nuclear radii and binding energies from a chiral interaction
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Evolution of shell structure in exotic nuclei
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Discrepancy between experimental and theoretical $\beta$-decay rates resolved from first principles
• Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• A nucleus-dependent valence-space approach to nuclear structure
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Structure of the lightest tin isotopes
• Neutron matter from chiral effective field theory interactions
• Nonperturbative shell-model interactions from the in-medium similarity renormalization group
• 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
• Ab Initio Path to Heavy Nuclei
• Leading chiral three-nucleon forces along isotope chains in the calcium region
• Isotopic chains around oxygen from evolved chiral two- and three-nucleon interactions
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Local chiral potentials and the structure of light nuclei
• Uncertainty analysis and order-by-order optimization of chiral nuclear interactions
• The Magnus expansion and the in-medium similarity renormalization group
• Structure of ${}^{78}$Ni from first principles computations
• Towards an ab initio covariant density functional for nuclear structure
• Lattice Effective Field Theory for Medium-Mass Nuclei
• Ab Initio Multi-Reference In-Medium Similarity Renormalization Group Calculations of Even Calcium and Nickel Isotopes
• A driven similarity renormalization group approach to quantum many-body problems
• Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians
• Nuclear binding near a quantum phase transition
• Ab-initio No-Core Gamow Shell Model calculations with realistic interactions
• Family of Chiral Two- plus Three-Nucleon Interactions for Accurate Nuclear Structure Studies
• Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in ${}^{11}$Be?
• Ab initio multi-shell valence-space Hamiltonians and the island of inversion
• Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach
• Universal properties of infrared oscillator basis extrapolations
• Evolved Chiral NN+3N Hamiltonians for Ab Initio Nuclear Structure Calculations
• Three-nucleon forces and spectroscopy of neutron-rich calcium isotopes
• Quantum Monte Carlo calculations of neutron matter with non-local chiral interactions
• Bogoliubov Many-Body Perturbation Theory for Open-Shell Nuclei
• Ab initio Bogoliubov coupled cluster theory for open-shell nuclei
• New applications of renormalization group methods in nuclear physics
• Hartree-Fock Many-Body Perturbation Theory for Nuclear Ground-States
• Ab Initio Description of Open-Shell Nuclei: Merging No-Core Shell Model and In-Medium Similarity Renormalization Group
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• 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
• Symmetry broken and restored coupled-cluster theory I. Rotational symmetry and angular momentum
• Emergent properties of nuclei from ab initio coupled-cluster calculations
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• Extension of coupled-cluster theory with a non-iterative treatment of connected triply excited clusters to three-body Hamiltonians
• Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials
• Systematic expansion for infrared oscillator basis extrapolations
• Open $sd$-shell nuclei from first principles
• Ab initio many-body calculations of nucleon-4He scattering with three-nucleon forces
• From the lightest nuclei to the equation of state of asymmetric nuclear matter with realistic nuclear interactions
• Probing chiral interactions up to next-to-next-to-next-to-leading order in medium-mass nuclei
• Driven similarity renormalization group: Third-order multireference perturbation theory
• Improved many-body expansions from eigenvector continuation
• Towards numerically robust multireference theories: The driven similarity renormalization group truncated to one- and two-body operators
• Microscopic optical potentials for calcium isotopes
• ADG: Automated generation and evaluation of many-body diagrams I. Bogoliubov many-body perturbation theory
• Effective double-beta-decay operator for 76Ge and 82Se
• Combining the in-medium similarity renormalization group with the density matrix renormalization group: Shell structure and information entropy
• Infrared extrapolations for atomic nuclei
• Open-Shell Nuclei from No-Core Shell Model with Perturbative Improvement
• Historical perspective and future prospects for nuclear interactions
• New determination of double-beta-decay properties in 48Ca: high-precision Q-value measurement and improved nuclear matrix element calculations
• Open-Shell Nuclei and Excited States from Multi-Reference Normal-Ordered Hamiltonians
• Operator evolution for ab initio nuclear theory
• Computing the dipole polarizability of 48Ca with increased precision
• Ab Initio Derivation of Model Energy Density Functionals
• Role of three-nucleon forces and many-body processes in nuclear pairing
• Spherical coupled-cluster theory for open-shell nuclei
• Continuum and Three-Nucleon Force Effects on 9Be Energy Levels
• Microscopically constrained mean field models from chiral nuclear thermodynamics
• Bogoliubov many-body perturbation theory under constraint
• Challenges in Nuclear Structure Theory
• A similarity renormalization group approach to Green's function methods
• Ab initio calculations of low-energy nuclear scattering using confining potential traps
• Can chiral EFT give us satisfaction?
• In-Medium Similarity Renormalization Group Approach to the Nuclear Many-Body Problem
• Nuclear Reactions from Lattice QCD
• Ab Initio Excited States from the In-Medium Similarity Renormalization Group
• Implementing chiral three-body forces in terms of medium-dependent two-body forces
• Symmetry-projected variational calculations with the numerical suite TAURUS I. Variation after particle-number projection
• Sensitivities and correlations of nuclear structure observables emerging from chiral interactions
• Similarity Renormalization Group Evolution of Three-Nucleon Forces in a Hyperspherical Momentum Representation
• Description of nuclear systems with a self-consistent configuration-mixing approach. I: Theory, algorithm, and application to the ${}^{12}$C test nucleus
• The nuclear energy density functional formalism
• $Abinitio$ calculations for Gamow-Teller strengths in $sd$ shell
• Uncertainties in constraining low-energy constants from ${}^3$H $\beta$ decay
• Relativistic chiral description of the ${}^1{S}_0$ nucleon-nucleon scattering
• Machine Learning for the Prediction of Converged Energies from Ab Initio Nuclear Structure Calculations
• Factorized Approximation to the IMSRG(3)
• Spectroscopy of N=50 isotones with the valence-space density matrix renormalization group
• Nuclear Structure from the In-Medium Similarity Renormalization Group
• IMSRG with flowing 3 body operators, and approximations thereof
• The relevance of pion-exchange contributions versus contact terms in the chiral effective field theory description of nucleon-nucleon scattering
• Damping of the isovector giant dipole resonance in ${}^{40,48}$Ca
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Constraining the nonanalytic terms in the isospin-asymmetry expansion of the nuclear equation of state
• ADG: Automated generation and evaluation of many-body diagrams II. Particle-number projected Bogoliubov many-body perturbation theory
• Precision measurement of the $E2$ transition strength to the 2${}_1^{+}$ state of ${}^{12}$C
• Spectroscopic properties of 4He within a multiphonon approach
• Ground-state properties of doubly magic nuclei from the unitary-model-operator approach with the chiral two- and three-nucleon forces
• Many-body Propagator Theory with Three-Body Interactions: a Path to Exotic Open Shell Isotopes
• Introduction to low-momentum effective interactions with Brown-Rho scaling and three-nucleon forces
• Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice
• Coupled-cluster theory for strong entanglement in nuclei
• Alternative similarity renormalization group generators in nuclear structure calculations
• The radius of a typical-mass neutron star and chiral effective field theory
• Uncertainties of Euclidean Time Extrapolation in Lattice Effective Field Theory
• The Hoyle state in Nuclear Lattice EFT
• Systematic study of infrared energy corrections in truncated oscillator spaces
• Introduction of the one-body correlation operator in the unitary-model-operator approach
• Spectroscopic study of ${}^{47}$Ca from the ${\beta }^{-}$ decay of ${}^{47}$K
• Spin-Triplet Pairing in Heavy Nuclei is Stable Against Deformation
• Local two- and three-nucleon chiral interactions
• Implicit and explicit renormalization: two complementary views of effective interactions
• Giant Resonances based on Unitarily Transformed Two-Nucleon plus Phenomenological Three-Nucleon Interactions
• Ground-state energies and charge radii of ${}^4$He, ${}^{16}$O, ${}^{40}$Ca, and ${}^{56}$Ni in the unitary-model-operator approach
• Nambu-Covariant Many-Body Theory II: Self-Consistent Approximations
• An overview of symmetric nuclear matter properties from chiral interactions up to fourth order of the chiral expansion
• The calculation of single-nucleon energies of nuclei by considering two-body effective interaction, n(k,rho), and a Hartree-Fock inspired scheme
• Quantum State Preparation with Resolution Refinement