Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods
Abstract
We report no-core solutions for properties of light nuclei with three different approaches in order to assess the accuracy and convergence rates of each method. Full configuration interaction (FCI), Monte Carlo shell model (MCSM), and no core full configuration (NCFC) approaches are solved separately for the ground state energy and other properties of seven light nuclei using the realistic JISP16 nucleon-nucleon interaction. The results are consistent among the different approaches. The methods differ significantly in how the required computational resources scale with increasing particle number for a given accuracy.
- Authors:
-
- Univ. of Tokyo (Japan). Center for Nuclear Study
- Iowa State Univ., Ames, IA (United States). Dept. of Physics
- Univ. of Tokyo (Japan). Dept. of Physics, and Center for Nuclear Study; Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Lab.
- Japan Atomic Energy Agency (JAEA), Tokai (Japan). Advanced Science Research Center
- Publication Date:
- Research Org.:
- Iowa State Univ., Ames, IA (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1565053
- Alternate Identifier(s):
- OSTI ID: 1101730
- Grant/Contract Number:
- AC02-05CH11231; AC05-00OR22725; FC02-07ER41457; FC02-09ER41582; FG02-06ER41407; FG02-87ER40371
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C, Nuclear Physics
- Additional Journal Information:
- Journal Volume: 86; 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; Physics
Citation Formats
Abe, T., Maris, P., Otsuka, T., Shimizu, N., Utsuno, Y., and Vary, J. P. Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods. United States: N. p., 2012.
Web. doi:10.1103/physrevc.86.054301.
Abe, T., Maris, P., Otsuka, T., Shimizu, N., Utsuno, Y., & Vary, J. P. Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods. United States. https://doi.org/10.1103/physrevc.86.054301
Abe, T., Maris, P., Otsuka, T., Shimizu, N., Utsuno, Y., and Vary, J. P. Thu .
"Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods". United States. https://doi.org/10.1103/physrevc.86.054301. https://www.osti.gov/servlets/purl/1565053.
@article{osti_1565053,
title = {Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods},
author = {Abe, T. and Maris, P. and Otsuka, T. and Shimizu, N. and Utsuno, Y. and Vary, J. P.},
abstractNote = {We report no-core solutions for properties of light nuclei with three different approaches in order to assess the accuracy and convergence rates of each method. Full configuration interaction (FCI), Monte Carlo shell model (MCSM), and no core full configuration (NCFC) approaches are solved separately for the ground state energy and other properties of seven light nuclei using the realistic JISP16 nucleon-nucleon interaction. The results are consistent among the different approaches. The methods differ significantly in how the required computational resources scale with increasing particle number for a given accuracy.},
doi = {10.1103/physrevc.86.054301},
journal = {Physical Review C, Nuclear Physics},
number = 5,
volume = 86,
place = {United States},
year = {Thu Nov 01 00:00:00 EDT 2012},
month = {Thu Nov 01 00:00:00 EDT 2012}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 69 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Ab initio nuclear structure simulations: The speculative nucleus
journal, February 2010
- Maris, P.; Shirokov, A. M.; Vary, J. P.
- Physical Review C, Vol. 81, Issue 2
Efficient computation of Hamiltonian matrix elements between non-orthogonal Slater determinants
journal, January 2013
- Utsuno, Yutaka; Shimizu, Noritaka; Otsuka, Takaharu
- Computer Physics Communications, Vol. 184, Issue 1
Quantum Monte Carlo calculations of excited states in nuclei
journal, November 2004
- Pieper, Steven C.; Wiringa, R. B.; Carlson, J.
- Physical Review C, Vol. 70, Issue 5
Accurate nucleon-nucleon potential with charge-independence breaking
journal, January 1995
- Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R.
- Physical Review C, Vol. 51, Issue 1
Table of nuclear magnetic dipole and electric quadrupole moments
journal, May 2005
- Stone, N. J.
- Atomic Data and Nuclear Data Tables, Vol. 90, Issue 1
Lithium isotopes within the ab initio no-core full configuration approach
journal, September 2012
- Cockrell, Chase; Vary, James P.; Maris, Pieter
- Physical Review C, Vol. 86, Issue 3
Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
journal, May 2000
- Epelbaum, E.; Glöckle, W.; Meißner, Ulf-G.
- Nuclear Physics A, Vol. 671, Issue 1-4
Monte Carlo shell model for atomic nuclei
journal, January 2001
- Otsuka, T.; Honma, M.; Mizusaki, T.
- Progress in Particle and Nuclear Physics, Vol. 47, Issue 1
Solution of the Center-Of-Mass Problem in Nuclear Structure Calculations
journal, August 2009
- Hagen, G.; Papenbrock, T.; Dean, D. J.
- Physical Review Letters, Vol. 103, Issue 6
Benchmark calculation of no-core Monte Carlo shell model in light nuclei
conference, January 2011
- Abe, T.; Maris, P.; Otsuka, T.
- INTERNATIONAL SYMPOSIUM ON NEW FACES OF ATOMIC NUCLEI, AIP Conference Proceedings
Ab initio many-body calculations of nucleon-nucleus scattering
journal, April 2009
- Quaglioni, Sofia; Navrátil, Petr
- Physical Review C, Vol. 79, Issue 4
Novel extrapolation method in the Monte Carlo shell model
journal, December 2010
- Shimizu, Noritaka; Utsuno, Yutaka; Mizusaki, Takahiro
- Physical Review C, Vol. 82, Issue 6
Realistic models of pion-exchange three-nucleon interactions
journal, June 2001
- Pieper, Steven C.; Pandharipande, V. R.; Wiringa, R. B.
- Physical Review C, Vol. 64, Issue 1
Novel NN interaction and the spectroscopy of light nuclei
journal, August 2005
- Shirokov, A. M.; Vary, J. P.; Mazur, A. I.
- Physics Letters B, Vol. 621, Issue 1-2
Nuclear Shell Model by the Quantum Monte Carlo Diagonalization Method
journal, October 1996
- Honma, Michio; Mizusaki, Takahiro; Otsuka, Takaharu
- Physical Review Letters, Vol. 77, Issue 16
Properties of in the Ab Initio Nuclear Shell Model
journal, June 2000
- Navrátil, P.; Vary, J. P.; Barrett, B. R.
- Physical Review Letters, Vol. 84, Issue 25
Diagonalization of Hamiltonians for Many-Body Systems by Auxiliary Field Quantum Monte Carlo Technique
journal, August 1995
- Honma, Michio; Mizusaki, Takahiro; Otsuka, Takaharu
- Physical Review Letters, Vol. 75, Issue 7
An efficient method to evaluate energy variances for extrapolation methods
journal, July 2012
- Puddu, G.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 39, Issue 8
Structure of the Closed Shell Studied by Monte Carlo Shell Model Calculation
journal, August 1998
- Otsuka, Takaharu; Honma, Michio; Mizusaki, Takahiro
- Physical Review Letters, Vol. 81, Issue 8
Ab Initio Computation of the Proton Halo State and Resonances in Nuclei
journal, May 2010
- Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M.
- Physical Review Letters, Vol. 104, Issue 18
Ab Initio Many-Body Calculations of , , , and Scattering
journal, August 2008
- Quaglioni, Sofia; Navrátil, Petr
- Physical Review Letters, Vol. 101, Issue 9
Nuclear forces from chiral Lagrangians using the method of unitary transformation (I): Formalism
journal, July 1998
- Epelbaoum, E.; Glöckle, W.; Meißner, Ulf-G.
- Nuclear Physics A, Vol. 637, Issue 1
Importance truncation for large-scale configuration interaction approaches
journal, June 2009
- Roth, Robert
- Physical Review C, Vol. 79, Issue 6
Quantum Monte Carlo Calculations of Neutron- Scattering
journal, July 2007
- Nollett, Kenneth M.; Pieper, Steven C.; Wiringa, R. B.
- Physical Review Letters, Vol. 99, Issue 2
Ab initio symplectic no-core shell model
journal, September 2008
- Dytrych, T.; Sviratcheva, K. D.; Draayer, J. P.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 35, Issue 12
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory
journal, October 2003
- Entem, D. R.; Machleidt, R.
- Physical Review C, Vol. 68, Issue 4
No-core Monte Carlo shell-model calculation for Be and Be low-lying spectra
journal, July 2012
- Liu, Lang; Otsuka, Takaharu; Shimizu, Noritaka
- Physical Review C, Vol. 86, Issue 1
Ab initio no-core full configuration calculations of light nuclei
journal, January 2009
- Maris, P.; Vary, J. P.; Shirokov, A. M.
- Physical Review C, Vol. 79, Issue 1
Highly deformed modes in the ab initio symplectic no-core shell model
journal, July 2008
- Dytrych, T.; Sviratcheva, K. D.; Bahri, C.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 35, Issue 9
The Illinois Extension to the Fujita-Miyazawa Three-Nucleon Force
conference, January 2008
- Pieper, Steven C.; Sakai, Hideyuki; Sekiguchi, Kimiko
- POLARIZED ANTIPROTON BEAMS - HOW: An International Workshop, AIP Conference Proceedings
Evidence for Symplectic Symmetry in Ab Initio No-Core Shell Model Results for Light Nuclei
journal, April 2007
- Dytrych, Tomáš; Sviratcheva, Kristina D.; Bahri, Chairul
- Physical Review Letters, Vol. 98, Issue 16
Large-basis ab initio no-core shell model and its application to
journal, October 2000
- Navrátil, P.; Vary, J. P.; Barrett, B. R.
- Physical Review C, Vol. 62, Issue 5
Extrapolation method in the Monte Carlo Shell Model and its applications
conference, January 2011
- Shimizu, Noritaka; Utsuno, Yutaka; Mizusaki, Takahiro
- INTERNATIONAL SYMPOSIUM ON NEW FACES OF ATOMIC NUCLEI, AIP Conference Proceedings
Realistic nuclear Hamiltonian: Ab exitu approach
journal, January 2007
- Shirokov, A. M.; Vary, J. P.; Mazur, A. I.
- Physics Letters B, Vol. 644, Issue 1
Evidence for Symplectic Symmetry in Ab Initio No-Core Shell Model Results for Light Nuclei
text, January 2007
- Dytrych, Tomas; Sviratcheva, Kristina D.; Bahri, Chairul
- arXiv
Ab initio no-core full configuration calculations of light nuclei
text, January 2008
- Maris, P.; Vary, J. P.; Shirokov, A. M.
- arXiv
Ab initio many-body calculations of nucleon-nucleus scattering
text, January 2009
- Quaglioni, Sofia; Navratil, Petr
- arXiv
Importance Truncation for Large-Scale Configuration Interaction Approaches
text, January 2009
- Roth, Robert
- arXiv
Novel Extrapolation Method in the Monte Carlo Shell Model
text, January 2010
- Shimizu, Noritaka; Utsuno, Yutaka; Mizusaki, Takahiro
- arXiv
An efficient method to evaluate energy variances for extrapolation methods
text, January 2012
- Puddu, G.
- arXiv
Efficient computation of Hamiltonian matrix elements between non-orthogonal Slater determinants
text, January 2012
- Utsuno, Yutaka; Shimizu, Noritaka; Otsuka, Takaharu
- arXiv
Realistic models of pion-exchange three-nucleon interactions
text, January 2001
- Pieper, Steven C.; Pandharipande, V. R.; Wiringa, R. B.
- arXiv
Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
text, January 2003
- Entem, D. R.; Machleidt, R.
- arXiv
Quantum Monte Carlo calculations of excited states in A = 6--8 nuclei
text, January 2004
- Pieper, Steven C.; Wiringa, R. B.; Carlson, J.
- arXiv
Quantum Monte Carlo calculations of neutron-alpha scattering
text, January 2006
- Nollett, Kenneth M.; Pieper, Steven C.; Wiringa, R. B.
- arXiv
An accurate nucleon-nucleon potential with charge-independence breaking
text, January 1994
- Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R.
- arXiv
Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism
text, January 1998
- Epelbaoum, E.; Glöckle, W.; Meißner, Ulf-G.
- arXiv
Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
text, January 1999
- Epelbaum, E.; Glöckle, W.; Meißner, Ulf-G.
- arXiv
Works referencing / citing this record:
Recent shell-model results for exotic nuclei
journal, January 2014
- Utsuno, Yusuke; Otsuka, Takaharu; Shimizu, Noritaka
- EPJ Web of Conferences, Vol. 66
Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review
journal, March 2017
- Engel, Jonathan; Menéndez, Javier
- Reports on Progress in Physics, Vol. 80, Issue 4
Monte Carlo shell model studies with massively parallel supercomputers
journal, April 2017
- Shimizu, Noritaka; Abe, Takashi; Honma, Michio
- Physica Scripta, Vol. 92, Issue 6
Tuning spatial entanglement in interacting two-electron quantum dots
journal, January 2020
- Pham, Dung N.; Bharadwaj, Sathwik; Ram-Mohan, L. R.
- Physical Review B, Vol. 101, Issue 4
Approximate symmetries in atomic nuclei from a large-scale shell-model perspective
journal, May 2015
- Launey, K. D.; Draayer, J. P.; Dytrych, T.
- International Journal of Modern Physics E, Vol. 24, Issue 05
Value of the Axial-Vector Coupling Strength in β and ββ Decays: A Review
journal, November 2017
- Suhonen, Jouni T.
- Frontiers in Physics, Vol. 5
Microscopic Clustering in Light Nuclei
text, January 2017
- Freer, Martin; Horiuchi, Hisashi; Kanada-En'yo, Yoshiko
- arXiv
Tuning spatial entanglement in interacting few-electron quantum dots
text, January 2019
- Pham, Dung. N.; Bharadwaj, Sathwik; Ram-Mohan, L. R.
- arXiv