Statistical error propagation in ab initio no-core full configuration calculations of light nuclei

Navarro Pérez, R.; Amaro, J. E.; Ruiz Arriola, E.; Maris, P.; Vary, J. P.

doi:10.1103/PhysRevC.92.064003

Title: Statistical error propagation in ab initio no-core full configuration calculations of light nuclei

Abstract

We propagate the statistical uncertainty of experimental N N scattering data into the binding energy of ³H and ⁴He. Here, we also study the sensitivity of the magnetic moment and proton radius of the 3 H to changes in the N N interaction. The calculations are made with the no-core full configuration method in a sufficiently large harmonic oscillator basis. For those light nuclei we obtain Δ E^stat (3H) = 0.015 MeV and Δ E^stat (⁴He) = 0.055 MeV .

Authors:

Navarro Pérez, R. ^[1]; Amaro, J. E. ^[2]; Ruiz Arriola, E. ^[2]; Maris, P. ^[3]; Vary, J. P. ^[3]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Nuclear and Chemical Science Division
Univ. of Granada (Spain). Departamento de Fisica Atomica, Molecular y Nuclear and Instituto Carlos I de Fisica Teorica y Computacional
Iowa State Univ., Ames, IA (United States). Dept. of Physics and Astronomy

Publication Date:: Mon Dec 28 00:00:00 EST 2015

Research Org.:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1240932

Alternate Identifier(s):: OSTI ID: 1234014

Report Number(s):: LLNL-JRNL-678005
Journal ID: ISSN 0556-2813; PRVCAN

Grant/Contract Number:: AC52-07NA27344; SC0008485; FG02-87ER40371; AC02-05CH11231

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C, Nuclear Physics

Additional Journal Information:: Journal Volume: 92; Journal Issue: 6; Journal ID: ISSN 0556-2813

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE

Citation Formats


                    Navarro Pérez, R., Amaro, J. E., Ruiz Arriola, E., Maris, P., and Vary, J. P. Statistical error propagation in ab initio no-core full configuration calculations of light nuclei.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevC.92.064003.

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                    Navarro Pérez, R., Amaro, J. E., Ruiz Arriola, E., Maris, P., & Vary, J. P. Statistical error propagation in ab initio no-core full configuration calculations of light nuclei.  United States.  https://doi.org/10.1103/PhysRevC.92.064003

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                    Navarro Pérez, R., Amaro, J. E., Ruiz Arriola, E., Maris, P., and Vary, J. P. Mon .  
"Statistical error propagation in ab initio no-core full configuration calculations of light nuclei".  United States.  https://doi.org/10.1103/PhysRevC.92.064003.  https://www.osti.gov/servlets/purl/1240932.

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@article{osti_1240932,

  title        = {Statistical error propagation in ab initio no-core full configuration calculations of light nuclei},

  author       = {Navarro Pérez, R. and Amaro, J. E. and Ruiz Arriola, E. and Maris, P. and Vary, J. P.},

  abstractNote = {We propagate the statistical uncertainty of experimental N N scattering data into the binding energy of 3H and 4He. Here, we also study the sensitivity of the magnetic moment and proton radius of the 3 H to changes in the N N interaction. The calculations are made with the no-core full configuration method in a sufficiently large harmonic oscillator basis. For those light nuclei we obtain Δ Estat (3H) = 0.015 MeV and Δ Estat (4He) = 0.055 MeV .},

  doi          = {10.1103/PhysRevC.92.064003},

  journal      = {Physical Review C, Nuclear Physics},

  number       = 6,

  volume       = 92,

  place        = {United States},

  year         = {Mon Dec 28 00:00:00 EST 2015},

  month        = {Mon Dec 28 00:00:00 EST 2015}

}

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Works referenced in this record:

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Statistical error analysis for phenomenological nucleon-nucleon potentials
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Works referencing / citing this record:

The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties
journal, October 2016

Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz
Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 11
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Quantifying statistical uncertainties in ab initio nuclear physics using Lagrange multipliers
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Carlsson, B. D.
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Quantifying statistical uncertainties in ab initio nuclear physics using Lagrange multipliers
text, January 2016

Carlsson, B. D.
arXiv
DOI: 10.48550/arxiv.1611.03691

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Title: Statistical error propagation in ab initio no-core full configuration calculations of light nuclei

Abstract

Citation Formats

Ab initio no core shell model journal, March 2013

Accurate nucleon-nucleon potential with charge-independence breaking journal, January 1995

Spurious center-of-mass motion journal, December 1974

Low-energy chiral two-pion exchange potential with statistical uncertainties journal, May 2015

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

The Ame2003 atomic mass evaluation journal, December 2003

Erratum: Partial-wave analysis of nucleon-nucleon scattering below the pion-production threshold [Phys. Rev. C 88 , 024002 (2013)] journal, December 2013

Construction of high-quality NN potential models journal, June 1994

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

Bootstrapping the statistical uncertainties of NN scattering data journal, November 2014

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

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

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

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

Enhancing the interaction between nuclear experiment and theory through information and statistics journal, February 2015

Phenomenological high precision neutron–proton delta-shell potential journal, July 2013

Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold journal, December 2013

Converging sequences in the ab initio no-core shell model journal, February 2008

Triton binding energy with realistic statistical uncertainties journal, October 2014

Partial-wave analysis of nucleon-nucleon scattering below the pion-production threshold journal, August 2013

Coarse-grained NN potential with chiral two-pion exchange journal, February 2014

Statistical error analysis for phenomenological nucleon-nucleon potentials journal, June 2014

Uncertainty Quantification for Nuclear Density Functional Theory and Information Content of New Measurements journal, March 2015

Error estimates of theoretical models: a guide journal, May 2014

AB INITIO NUCLEAR STRUCTURE CALCULATIONS OF p-SHELL NUCLEI WITH JISP16 journal, July 2013

The Ame2003 atomic mass evaluation journal, December 2003

Ab initio no-core full configuration calculations of light nuclei text, January 2008

Recent developments in no-core shell-model calculations text, January 2009

Phenomenological High Precision Neutron-Proton Delta-Shell Potential text, January 2012

Corrections to nuclear energies and radii in finite oscillator spaces text, January 2012

Partial Wave Analysis of Nucleon-Nucleon Scattering below pion production threshold text, January 2013

Error Estimates of Theoretical Models: a Guide text, January 2014

Uncertainty Quantification for Nuclear Density Functional Theory and Information Content of New Measurements text, January 2015

An accurate nucleon-nucleon potential with charge-independence breaking text, January 1994

The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties journal, October 2016

Quantifying statistical uncertainties in ab initio nuclear physics using Lagrange multipliers journal, March 2017

Quantifying statistical uncertainties in ab initio nuclear physics using Lagrange multipliers text, January 2016

Ab initio no core shell model
journal, March 2013

Accurate nucleon-nucleon potential with charge-independence breaking
journal, January 1995

Spurious center-of-mass motion
journal, December 1974

Low-energy chiral two-pion exchange potential with statistical uncertainties
journal, May 2015

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

The Ame2003 atomic mass evaluation
journal, December 2003

Erratum: Partial-wave analysis of nucleon-nucleon scattering below the pion-production threshold [Phys. Rev. C 88 , 024002 (2013)]
journal, December 2013

Construction of high-quality NN potential models
journal, June 1994

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

Bootstrapping the statistical uncertainties of NN scattering data
journal, November 2014

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

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

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

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

Enhancing the interaction between nuclear experiment and theory through information and statistics
journal, February 2015

Phenomenological high precision neutron–proton delta-shell potential
journal, July 2013

Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold
journal, December 2013

Converging sequences in the ab initio no-core shell model
journal, February 2008

Triton binding energy with realistic statistical uncertainties
journal, October 2014

Partial-wave analysis of nucleon-nucleon scattering below the pion-production threshold
journal, August 2013

Coarse-grained NN potential with chiral two-pion exchange
journal, February 2014

Statistical error analysis for phenomenological nucleon-nucleon potentials
journal, June 2014

Uncertainty Quantification for Nuclear Density Functional Theory and Information Content of New Measurements
journal, March 2015

Error estimates of theoretical models: a guide
journal, May 2014

AB INITIO NUCLEAR STRUCTURE CALCULATIONS OF p-SHELL NUCLEI WITH JISP16
journal, July 2013

The Ame2003 atomic mass evaluation
journal, December 2003

Ab initio no-core full configuration calculations of light nuclei
text, January 2008

Recent developments in no-core shell-model calculations
text, January 2009

Phenomenological High Precision Neutron-Proton Delta-Shell Potential
text, January 2012

Corrections to nuclear energies and radii in finite oscillator spaces
text, January 2012

Partial Wave Analysis of Nucleon-Nucleon Scattering below pion production threshold
text, January 2013

Error Estimates of Theoretical Models: a Guide
text, January 2014

Uncertainty Quantification for Nuclear Density Functional Theory and Information Content of New Measurements
text, January 2015

An accurate nucleon-nucleon potential with charge-independence breaking
text, January 1994

The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties
journal, October 2016

Quantifying statistical uncertainties in ab initio nuclear physics using Lagrange multipliers
journal, March 2017

Quantifying statistical uncertainties in ab initio nuclear physics using Lagrange multipliers
text, January 2016