skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Alternative similarity renormalization group generators in nuclear structure calculations

Journal Article · · Physical Review C, Nuclear Physics
 [1];  [2];  [3]
  1. Univ. of Ottawa, Ottawa, ON (Canada). Dept. of Physics; TRIUMF, Vancouver, BC (Canada)
  2. Univ. of British Columbia, Vancouver, BC (Canada). Dept. of Physics and Astronomy; TRIUMF, Vancouver, BC (Canada)
  3. TRIUMF, Vancouver, BC (Canada)

The similarity renormalization group (SRG) has been successfully applied to soften interactions for ab initio nuclear calculations. In almost all practical applications in nuclear physics, an SRG generator with the kinetic energy operator is used. With this choice, a fast convergence of many-body calculations can be achieved, but at the same time substantial three-body interactions are induced even if one starts from a purely two-nucleon (NN) Hamiltonian. Three-nucleon (3N) interactions can be handled by modern many-body methods. However, it has been observed that when including initial chiral 3N forces in the Hamiltonian, the SRG transformations induce a non-negligible four-nucleon interaction that cannot be currently included in the calculations for technical reasons. Consequently, it is essential to investigate alternative SRG generators that might suppress the induction of many-body forces while at the same time might preserve the good convergence. Here in this work we test two alternative generators with operators of block structure in the harmonic oscillator basis. In the no-core shell model calculations for 3H, 4He, and 6Li with chiral NN force, we demonstrate that their performances appear quite promising.

Research Organization:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Organization:
USDOE Office of Science (SC); National Research Council Canada
Grant/Contract Number:
401945-2011
OSTI ID:
1565212
Journal Information:
Physical Review C, Nuclear Physics, Vol. 90, Issue 3; ISSN 0556-2813
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

References (51)

Ab Initio Calculation of the Spectrum and Structure of O 16 journal March 2014
Similarity renormalization group evolution of three-nucleon forces in a hyperspherical momentum representation journal June 2013
Ab initio no core shell model journal March 2013
Nuclear structure in the framework of the Unitary Correlation Operator Method journal July 2010
In-medium similarity renormalization group with chiral two- plus three-nucleon interactions journal March 2013
Nucleon-nucleon interaction in the J -matrix inverse scattering approach and few-nucleon systems journal October 2004
Ab Initio Description of the Exotic Unbound He 7 Nucleus journal January 2013
Evolving nuclear many-body forces with the similarity renormalization group journal March 2011
Convergence in the no-core shell model with low-momentum two-nucleon interactions journal March 2008
Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order journal May 2013
Energy levels of light nuclei A=5, 6, 7 journal September 2002
Medium-Mass Nuclei with Normal-Ordered Chiral N N + 3 N Interactions journal July 2012
Ab initio calculations of medium-mass nuclei with explicit chiral 3 N interactions journal February 2013
Block diagonalization using similarity renormalization group flow equations journal March 2008
Properties of 12 C in the Ab Initio Nuclear Shell Model journal June 2000
New applications of renormalization group methods in nuclear physics journal November 2013
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory journal October 2003
Ab initio path to heavy nuclei journal September 2014
Renormalization of Hamiltonians journal December 1993
Evolution of Shell Structure in Neutron-Rich Calcium Isotopes journal July 2012
Nuclear structure with accurate chiral perturbation theory nucleon-nucleon potential: Application to Li6 and B10 journal January 2004
Low momentum nucleon-nucleon potential and shell model effective interactions journal April 2002
Coupled-cluster calculations of nucleonic matter journal January 2014
Model-independent low momentum nucleon interaction from phase shift equivalence journal October 2003
Chiral effective field theory and nuclear forces journal June 2011
Decoupling of spurious deeply bound states with the similarity renormalization group journal March 2011
Few-nucleon systems in a translationally invariant harmonic oscillator basis journal March 2000
Operator evolution for ab initio theory of light nuclei journal July 2014
Unified ab initio approach to bound and unbound states: No-core shell model with continuum and its application to 7 He journal March 2013
Similarity renormalization group for nucleon-nucleon interactions journal June 2007
Modern theory of nuclear forces journal December 2009
Operator evolution via the similarity renormalization group: The deuteron journal November 2010
Isotopic Chains Around Oxygen from Evolved Chiral Two- and Three-Nucleon Interactions journal August 2013
Convergent Theory for Effective Interaction in Nuclei journal December 1980
Similarity renormalization group with novel generators journal November 2011
Elastic proton scattering of medium mass nuclei from coupled-cluster theory journal August 2012
Degenerate Perturbation Theory in Quantum Mechanics journal August 1983
The Renormalization Group in Nuclear Physics journal July 2012
Universal properties of infrared oscillator basis extrapolations journal April 2013
Chiral two- and three-nucleon forces along medium-mass isotope chains journal June 2014
Lattice effective field theory for medium-mass nuclei journal May 2014
Momentum-space evolution of chiral three-nucleon forces journal February 2012
Perturbative renormalization group for Hamiltonians journal April 1994
Construction of Hermitian Effective Interaction in Nuclei: -- General Relation between Hermitian and Non-Hermitian Forms -- journal July 1982
Flow equations for Hamiltonians journal July 2001
Convergence properties of ab initio calculations of light nuclei in a harmonic oscillator basis journal November 2012
Corrections to nuclear energies and radii in finite oscillator spaces journal September 2012
Flow-equations for Hamiltonians journal January 1994
Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group journal August 2009
Similarity-Transformed Chiral N N + 3 N Interactions for the Ab Initio Description of C 12 and O 16 journal August 2011
Structure and Rotations of the Hoyle State journal December 2012

Cited By (1)

Scale dependence of deuteron electrodisintegration text January 2017

Figures / Tables (20)


Similar Records

Evolving nuclear many-body forces with the similarity renormalization group
Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Physical Review. C, Nuclear Physics · OSTI ID:1565212

Structure of p-shell nuclei using three-nucleon interactions evolved with the similarity renormalization group
Journal Article · Mon May 13 00:00:00 EDT 2013 · Physical Review C, Nuclear Physics · OSTI ID:1565212

Quantifying Uncertainties In Neutron-Alpha Scattering With Chiral Nucleon-Nucleon And Three-Nucleon Forces
Journal Article · Fri Aug 14 00:00:00 EDT 2020 · Physical Review. C · OSTI ID:1565212