Ground-state properties of doubly magic nuclei from the unitary-model-operator approach with the chiral two- and three-nucleon forces

Abstract

The ground-state energies and radii for ${}^4$He, ${}^{16}$O, and ${}^{40}$Ca are calculated with the unitary-model-operator approach (UMOA). In the present study, we employ the similarity renormalization group (SRG) evolved nucleon-nucleon ($NN$) and three-nucleon ($3N$) interactions based on the chiral effective field theory. This is the first UMOA calculation with both $NN$ and $3N$ interactions. The calculated ground-state energies and radii are consistent with the recent {\it ab initio} results with the same interaction. We evaluate the expectation values with two- and three-body SRG evolved radius operators, in addition to those with the bare radius operator. With the aid of the higher-body evolution of radius operator, it is seen that the calculated radii tend to be SRG resolution-scale independent. We find that the SRG evolution gives minor modifications for the radius operator.

arXiv comment11 pages, 7 figures

References in corpus (47)

• 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
• Quantum Monte Carlo methods for nuclear physics
• Improved nuclear matter calculations from chiral low-momentum interactions
• Coupled-cluster computations of atomic nuclei
• Self-consistent Green's function method for nuclei and nuclear matter
• Accurate nuclear radii and binding energies from a chiral interaction
• Three-body forces and the limit of oxygen isotopes
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions
• Local three-nucleon interaction from chiral effective field theory
• Lattice simulations for few- and many-body systems
• Evolution of shell structure in neutron-rich calcium isotopes
• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• Structure of the lightest tin isotopes
• Continuum effects and three-nucleon forces in neutron-rich oxygen isotopes
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Saturation with chiral interactions and consequences for finite nuclei
• Ab Initio Calculations of Even Oxygen Isotopes with Chiral Two- Plus Three-Nucleon Interactions
• Coupled-cluster calculations of nucleonic matter
• In-Medium Similarity Renormalization Group 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
• Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
• Isotopic chains around oxygen from evolved chiral two- and three-nucleon interactions
• Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces
• Radii and binding energies in oxygen isotopes: a puzzle for nuclear forces
• Ab Initio Multi-Reference In-Medium Similarity Renormalization Group Calculations of Even Calcium and Nickel Isotopes
• Chiral effective field theory predictions for muon capture on deuteron and 3He
• Evolved Chiral NN+3N Hamiltonians for Ab Initio Nuclear Structure Calculations
• Chiral three-nucleon forces and the evolution of correlations along the oxygen isotopic chain
• Hartree-Fock Many-Body Perturbation Theory for Nuclear Ground-States
• Ab Initio Calculations of Medium-Mass Nuclei with Explicit Chiral 3N Interactions
• Few- and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces
• Nuclear and neutron matter $G$-matrix calculations with Ch-EFT potential including effects of three-nucleon interaction
• Extension of coupled-cluster theory with a non-iterative treatment of connected triply excited clusters to three-body Hamiltonians
• Unified description of ${}^6$Li structure and deuterium-${}^4$He dynamics with chiral two- and three-nucleon forces
• $Ab$ $initio$ nuclear many-body perturbation calculations in the Hartree-Fock basis
• Operator evolution for ab initio nuclear theory
• Continuum and Three-Nucleon Force Effects on 9Be Energy Levels
• Can Long-Range Nuclear Properties Be Influenced By Short Range Interactions? A chiral dynamics estimate
• Introduction of the one-body correlation operator in the unitary-model-operator approach
• Progress on Light-Ion Fusion Reactions with Three-Nucleon Forces

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