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

Journal Article · · Physical Review. C
 [1];  [2];  [3];  [4];  [5];  [6];  [2];  [7]
  1. Univ. of Tokyo (Japan); TRIUMF, Vancouver, BC (Canada); DOE/OSTI
  2. Univ. of Tokyo (Japan)
  3. Osaka Univ. (Japan)
  4. TRIUMF, Vancouver, BC (Canada)
  5. Kyushu Inst. of Technology, Kitakyushu (Japan)
  6. RIKEN Nishina Center, Saitama (Japan); Univ. of Tokyo (Japan); Michigan State Univ., East Lansing, MI (United States); KU Leuven (Belgium)
  7. TRIUMF, Vancouver, BC (Canada); Reed College, Portland, OR (United States); Univ. of Washington, Seattle, WA (United States)
+ Show Author Affiliations
The ground-state energies and radii for 4He, 16O, and 40Ca are calculated with the unitary-model-operator approach (UMOA). In the present study, we employ similarity renormalization group (SRG) evolved nucleon-nucleon (NN) and three-nucleon (3N) interactions based on 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 ab initio results with the same interaction. Here, we evaluate the expectation values of two- and three-body SRG evolved radius operators, in addition to those of the bare radius operator. With the aid of the higher-body evolution of the 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.
Research Organization:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
FG02-97ER41014
OSTI ID:
1610365
Journal Information:
Physical Review. C, Journal Name: Physical Review. C Journal Issue: 3 Vol. 100; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (68)

Chiral 2N and 3N interactions and quantum Monte Carlo applications journal January 2016
From Chiral EFT interactions to nuclear structure and reactions conference July 2013
Saturation with chiral interactions and consequences for finite nuclei text January 2017
Local three-nucleon interaction from chiral effective field theory journal November 2007
Progress on Light-Ion Fusion Reactions with Three-Nucleon Forces journal January 2014
The effective interaction of two nucleons in the s-d shell journal April 1980
Table of experimental nuclear ground state charge radii: An update journal January 2013
Ab initio path to heavy nuclei journal September 2014
Hartree–Fock many-body perturbation theory for nuclear ground-states journal May 2016
Can long-range nuclear properties Be influenced by short range interactions? A chiral dynamics estimate journal June 2019
Chiral effective field theory and nuclear forces journal June 2011
The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei journal March 2016
Self-consistent Green's function method for nuclei and nuclear matter journal April 2004
Lattice simulations for few- and many-body systems journal July 2009
Ab initio no core shell model journal March 2013
Many – Body Methods in Chemistry and Physics book January 2009
Coupled-cluster computations of atomic nuclei journal September 2014
The Ame2012 atomic mass evaluation journal December 2012
Review of Particle Physics journal October 2016
Nuclear ground-state properties and nuclear forces in the unitary-model-operator approach: Application to O 16 journal August 1987
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory journal October 2003
Similarity renormalization group for nucleon-nucleon interactions journal June 2007
Improved nuclear matter calculations from chiral low-momentum interactions journal March 2011
Ab initio calculations of medium-mass nuclei with explicit chiral 3 N interactions journal February 2013
In-medium similarity renormalization group with chiral two- plus three-nucleon interactions journal March 2013
Extension of coupled-cluster theory with a noniterative treatment of connected triply excited clusters to three-body Hamiltonians journal November 2013
Nuclear and neutron matter G -matrix calculations with a chiral effective field theory potential including effects of three-nucleon interactions journal December 2013
Coupled-cluster calculations of nucleonic matter journal January 2014
Chiral two- and three-nucleon forces along medium-mass isotope chains journal June 2014
Operator evolution for ab initio theory of light nuclei journal July 2014
Evolved chiral N N + 3 N Hamiltonians for ab initio nuclear structure calculations journal August 2014
Ab initio multireference in-medium similarity renormalization group calculations of even calcium and nickel isotopes journal October 2014
Continuum and three-nucleon force effects on Be 9 energy levels journal February 2015
Accurate nuclear radii and binding energies from a chiral interaction journal May 2015
Chiral three-nucleon forces and the evolution of correlations along the oxygen isotopic chain journal July 2015
Operator evolution for ab initio electric dipole transitions of He 4 journal July 2015
Quantum Monte Carlo calculations of neutron matter with chiral three-body forces journal February 2016
Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces journal April 2016
Ab initio nuclear many-body perturbation calculations in the Hartree-Fock basis journal July 2016
Saturation with chiral interactions and consequences for finite nuclei journal July 2017
High-quality two-nucleon potentials up to fifth order of the chiral expansion journal August 2017
Introduction of the one-body correlation operator in the unitary-model-operator approach journal November 2017
Erratum: Nuclear and neutron matter G -matrix calculations with a chiral effective field theory potential including effects of three-nucleon interactions [Phys. Rev. C 88 , 064005 (2013)] journal November 2017
Few-nucleon and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces journal July 2018
Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group journal August 2009
Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory journal September 2009
Three-Body Forces and the Limit of Oxygen Isotopes journal July 2010
Chiral Effective Field Theory Predictions for Muon Capture on Deuteron and He 3 journal January 2012
Continuum Effects and Three-Nucleon Forces in Neutron-Rich Oxygen Isotopes journal June 2012
Evolution of Shell Structure in Neutron-Rich Calcium Isotopes journal July 2012
Medium-Mass Nuclei with Normal-Ordered Chiral N N + 3 N Interactions journal July 2012
Ab Initio Calculations of Even Oxygen Isotopes with Chiral Two-Plus-Three-Nucleon Interactions journal June 2013
Isotopic Chains Around Oxygen from Evolved Chiral Two- and Three-Nucleon Interactions journal August 2013
Unified Description of Li 6 Structure and Deuterium- He 4 Dynamics with Chiral Two- and Three-Nucleon Forces journal May 2015
Radii and Binding Energies in Oxygen Isotopes: A Challenge for Nuclear Forces journal July 2016
Structure of the Lightest Tin Isotopes journal April 2018
Erratum: Chiral Effective Field Theory Predictions for Muon Capture on Deuteron and He 3 [Phys. Rev. Lett. 108 , 052502 (2012)] journal July 2018
Erratum: Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory [Phys. Rev. Lett. 103 , 102502 (2009)] journal January 2019
Structure of A = 10 – 13 Nuclei with Two- Plus Three-Nucleon Interactions from Chiral Effective Field Theory journal July 2007
Modern theory of nuclear forces journal December 2009
Quantum Monte Carlo methods for nuclear physics journal September 2015
Diagonalization of Hamiltonian and Tamm-Dancoff Equation journal November 1954
Convergent Theory for Effective Interaction in Nuclei journal December 1980
Degenerate Perturbation Theory in Quantum Mechanics journal August 1983
Perturbation Theory for Quasidegenerate System in Quantum Mechanics journal September 1984
Unitary-Model-Operator Approach to Nuclear Many-Body Problem. II journal July 1986
Theory of Many-Fermion System on Unitary-Transformation Method journal January 1988
Effective Interaction Theory and Unitary-Model-Operator Approach to Nuclear Saturation Problem journal December 1994

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Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Ab initio calculations
Binding energy & masses
Nuclear forces
Physics