Structure of p-shell nuclei using three-nucleon interactions evolved with the similarity renormalization group

Jurgenson, E. D.; Maris, P.; Furnstahl, R. J.; Navratil, P.; Ormand, W. E.; Vary, J. P.

doi:10.1103/PhysRevC.87.054312

Title: Structure of p-shell nuclei using three-nucleon interactions evolved with the similarity renormalization group

Abstract

The similarity renormalization group (SRG) is used to soften interactions for ab initio nuclear structure calculations by decoupling low- and high-energy Hamiltonian matrix elements. The substantial contribution of both initial and SRG-induced three-nucleon forces requires their consistent evolution in a three-particle basis space before applying them to larger nuclei. While, in principle, the evolved Hamiltonians are unitarily equivalent, in practice the need for basis truncation introduces deviations, which must be monitored. Here we present benchmark no-core full configuration calculations with SRG-evolved interactions in p-shell nuclei over a wide range of softening. As a result, these calculations are used to assess convergence properties, extrapolation techniques, and the dependence of energies, including four-body contributions, on the SRG resolution scale.

Authors:

Jurgenson, E. D. ^[1]; Maris, P. ^[2]; Furnstahl, R. J. ^[3]; Navratil, P. ^[4]; Ormand, W. E. ^[1]; Vary, J. P. ^[2]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Iowa State Univ., Ames, IA (United States)
The Ohio State Univ., Columbus, OH (United States)
TRIUMF, Vancouver, BC (Canada)

Publication Date:: Mon May 13 00:00:00 EDT 2013

Research Org.:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1240055

Alternate Identifier(s):: OSTI ID: 1102667

Report Number(s):: LLNL-JRNL-622712
Journal ID: ISSN 0556-2813; PRVCAN

Grant/Contract Number:: AC52-07NA27344

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C, Nuclear Physics

Additional Journal Information:: Journal Volume: 87; Journal Issue: 5; Journal ID: ISSN 0556-2813

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Jurgenson, E. D., Maris, P., Furnstahl, R. J., Navratil, P., Ormand, W. E., and Vary, J. P. Structure of p-shell nuclei using three-nucleon interactions evolved with the similarity renormalization group.  United States: N. p., 2013. 
Web.  doi:10.1103/PhysRevC.87.054312.

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                    Jurgenson, E. D., Maris, P., Furnstahl, R. J., Navratil, P., Ormand, W. E., & Vary, J. P. Structure of p-shell nuclei using three-nucleon interactions evolved with the similarity renormalization group.  United States.  https://doi.org/10.1103/PhysRevC.87.054312

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                    Jurgenson, E. D., Maris, P., Furnstahl, R. J., Navratil, P., Ormand, W. E., and Vary, J. P. Mon .  
"Structure of p-shell nuclei using three-nucleon interactions evolved with the similarity renormalization group".  United States.  https://doi.org/10.1103/PhysRevC.87.054312.  https://www.osti.gov/servlets/purl/1240055.

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@article{osti_1240055,

  title        = {Structure of p-shell nuclei using three-nucleon interactions evolved with the similarity renormalization group},

  author       = {Jurgenson, E. D. and Maris, P. and Furnstahl, R. J. and Navratil, P. and Ormand, W. E. and Vary, J. P.},

  abstractNote = {The similarity renormalization group (SRG) is used to soften interactions for ab initio nuclear structure calculations by decoupling low- and high-energy Hamiltonian matrix elements. The substantial contribution of both initial and SRG-induced three-nucleon forces requires their consistent evolution in a three-particle basis space before applying them to larger nuclei. While, in principle, the evolved Hamiltonians are unitarily equivalent, in practice the need for basis truncation introduces deviations, which must be monitored. Here we present benchmark no-core full configuration calculations with SRG-evolved interactions in p-shell nuclei over a wide range of softening. As a result, these calculations are used to assess convergence properties, extrapolation techniques, and the dependence of energies, including four-body contributions, on the SRG resolution scale.},

  doi          = {10.1103/PhysRevC.87.054312},

  journal      = {Physical Review C, Nuclear Physics},

  number       = 5,

  volume       = 87,

  place        = {United States},

  year         = {Mon May 13 00:00:00 EDT 2013},

  month        = {Mon May 13 00:00:00 EDT 2013}

}

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Title: Structure of p-shell nuclei using three-nucleon interactions evolved with the similarity renormalization group

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Convergence properties of ab initio calculations of light nuclei in a harmonic oscillator basis journal, November 2012

Origin of the Anomalous Long Lifetime of C 14 journal, May 2011

Ab Initio Many-Body Calculations of n − H 3 , n − He 4 , p − He 3 , 4 , and n − Be 10 Scattering journal, August 2008

Corrections to nuclear energies and radii in finite oscillator spaces journal, September 2012

Importance truncation for large-scale configuration interaction approaches journal, June 2009

Ab initio no-core full configuration calculations of light nuclei journal, January 2009

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

From low-momentum interactions to nuclear structure journal, July 2010

From nucleons to nuclei to fusion reactions journal, December 2012

The long and winding road from chiral effective Lagrangians to nuclear structure journal, February 2016

Coupled-cluster computations of atomic nuclei journal, September 2014

In-medium similarity renormalization group for closed and open-shell nuclei journal, December 2016

Nuclear Structure from the In-Medium Similarity Renormalization Group journal, June 2018

Pre-processing the nuclear many-body problem: Importance truncation versus tensor factorization techniques journal, June 2019

Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory journal, January 2020

Coupled-cluster computations of atomic nuclei text, January 2013

$\it{Ab}$ $\it{initio}$ nuclear many-body perturbation calculations in the Hartree-Fock basis text, January 2016

In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei text, January 2016

Microscopic Clustering in Light Nuclei text, January 2017

Few- and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces text, January 2018

Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces text, January 2018

Pre-processing the nuclear many-body problem: Importance truncation versus tensor factorization techniques text, January 2019

Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory text, January 2020

Structure of $A = 10 - 13$ Nuclei with Two- Plus Three-Nucleon Interactions from Chiral Effective Field Theory
journal, July 2007

Ab initio nuclear structure simulations: The speculative ${}^{14}F$ nucleus
journal, February 2010

Similarity renormalization group evolution of many-body forces in a one-dimensional model
journal, March 2009

Quantum Monte Carlo calculations of magnetic moments and $M 1$ transitions in $A ⩽ 7$ nuclei including meson-exchange currents
journal, December 2008

Ab initio no core shell model
journal, March 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

Scaling of ab-initio nuclear physics calculations on multicore computer architectures
journal, May 2010

Medium-Mass Nuclei with Normal-Ordered Chiral $N N + 3 N$ Interactions
journal, July 2012

Block diagonalization using similarity renormalization group flow equations
journal, March 2008

Coulomb-Sturmian basis for the nuclear many-body problem
journal, September 2012

Recent developments in no-core shell-model calculations
journal, May 2009

Ab initio many-body calculations of nucleon scattering on ${}^{4}{He}$ , ${}^{7}{Li}$ , ${}^{7}{Be}$ , ${}^{12}C$ , and ${}^{16}O$
journal, September 2010

Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory
journal, October 2003

Local three-nucleon interaction from chiral effective field theory
journal, November 2007

Quantum Monte Carlo calculations of electromagnetic moments and transitions in $A \leq 9$ nuclei with meson-exchange currents derived from chiral effective field theory
journal, March 2013

Renormalization of Hamiltonians
journal, December 1993

Emergence of rotational bands in ab initio no-core configuration interaction calculations of light nuclei
journal, February 2013

Benchmark calculations for ${}^{3}H$ , ${}^{4}{He}$ , ${}^{16}O$ , and ${}^{40}{Ca}$ with ab initio coupled-cluster theory
journal, October 2007

Are low-energy nuclear observables sensitive to high-energy phase shifts?
journal, June 2007

Exact-exchange density functional theory for neutron drops
journal, July 2011

Similarity renormalization group for nucleon-nucleon interactions
journal, June 2007

Lithium isotopes within the ab initio no-core full configuration approach
journal, September 2012

Modern theory of nuclear forces
journal, December 2009

Large-scale ab initio configuration interaction calculations for light nuclei
journal, December 2012

Similarity renormalization group with novel generators
journal, November 2011

The Renormalization Group in Nuclear Physics
journal, July 2012

Universal properties of infrared oscillator basis extrapolations
journal, April 2013

The no-core shell model with general radial bases
journal, December 2012

Momentum-space evolution of chiral three-nucleon forces
journal, February 2012

Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
journal, September 2009

Three-nucleon forces from chiral effective field theory
journal, December 2002

Ab Initio Many-Body Calculations of the ${}^{3}H (d, n) {}^{4}{He}$ and ${}^{3}{He} (d, p) {}^{4}{He}$ Fusion Reactions
journal, January 2012

Decoupling in the similarity renormalization group for nucleon-nucleon forces
journal, July 2008

Convergence properties of ab initio calculations of light nuclei in a harmonic oscillator basis
journal, November 2012

Origin of the Anomalous Long Lifetime of ${}^{14}C$
journal, May 2011

Ab Initio Many-Body Calculations of $n − {}^{3}H$ , $n − {}^{4}{He}$ , $p − {}^{3, 4}{He}$ , and $n − {}^{10}{Be}$ Scattering
journal, August 2008

Corrections to nuclear energies and radii in finite oscillator spaces
journal, September 2012

Importance truncation for large-scale configuration interaction approaches
journal, June 2009

Ab initio no-core full configuration calculations of light nuclei
journal, January 2009

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 ${}^{12}C$ and ${}^{16}O$
journal, August 2011

From low-momentum interactions to nuclear structure
journal, July 2010

From nucleons to nuclei to fusion reactions
journal, December 2012

The long and winding road from chiral effective Lagrangians to nuclear structure
journal, February 2016

Coupled-cluster computations of atomic nuclei
journal, September 2014

In-medium similarity renormalization group for closed and open-shell nuclei
journal, December 2016

Nuclear Structure from the In-Medium Similarity Renormalization Group
journal, June 2018

Pre-processing the nuclear many-body problem: Importance truncation versus tensor factorization techniques
journal, June 2019

Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory
journal, January 2020

Coupled-cluster computations of atomic nuclei
text, January 2013

$\it{Ab}$ $\it{initio}$ nuclear many-body perturbation calculations in the Hartree-Fock basis
text, January 2016

In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
text, January 2016

Microscopic Clustering in Light Nuclei
text, January 2017

Few- and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces
text, January 2018

Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces
text, January 2018

Pre-processing the nuclear many-body problem: Importance truncation versus tensor factorization techniques
text, January 2019

Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
text, January 2020