DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Uncertainty quantification of effective nuclear interactions

Abstract

We give a brief review on the development of phenomenological NN interactions and the corresponding quanti cation of statistical uncertainties. We look into the uncertainty of effective interactions broadly used in mean eld calculations through the Skyrme parameters and effective eld theory counter-terms by estimating both statistical and systematic uncertainties stemming from the NN interaction. We also comment on the role played by different tting strategies on the light of recent developments.

Authors:
 [1];  [2];  [2]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Univ. of Granada (Spain)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1343052
Report Number(s):
LLNL-JRNL-676451
Journal ID: ISSN 0218-3013
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
International Journal of Modern Physics E
Additional Journal Information:
Journal Volume: 25; Journal Issue: 05; Journal ID: ISSN 0218-3013
Publisher:
World Scientific
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; NN interaction; Statistical Analysis; Effective interactions

Citation Formats

Pérez, R. Navarro, Amaro, J. E., and Arriola, E. Ruiz. Uncertainty quantification of effective nuclear interactions. United States: N. p., 2016. Web. doi:10.1142/S0218301316410093.
Pérez, R. Navarro, Amaro, J. E., & Arriola, E. Ruiz. Uncertainty quantification of effective nuclear interactions. United States. https://doi.org/10.1142/S0218301316410093
Pérez, R. Navarro, Amaro, J. E., and Arriola, E. Ruiz. Wed . "Uncertainty quantification of effective nuclear interactions". United States. https://doi.org/10.1142/S0218301316410093. https://www.osti.gov/servlets/purl/1343052.
@article{osti_1343052,
title = {Uncertainty quantification of effective nuclear interactions},
author = {Pérez, R. Navarro and Amaro, J. E. and Arriola, E. Ruiz},
abstractNote = {We give a brief review on the development of phenomenological NN interactions and the corresponding quanti cation of statistical uncertainties. We look into the uncertainty of effective interactions broadly used in mean eld calculations through the Skyrme parameters and effective eld theory counter-terms by estimating both statistical and systematic uncertainties stemming from the NN interaction. We also comment on the role played by different tting strategies on the light of recent developments.},
doi = {10.1142/S0218301316410093},
journal = {International Journal of Modern Physics E},
number = 05,
volume = 25,
place = {United States},
year = {Wed Mar 02 00:00:00 EST 2016},
month = {Wed Mar 02 00:00:00 EST 2016}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

A potential model representation of two-nucleon data below 315 MeV
journal, June 1962


Effective Interactions in the Delta-Shells Potential
journal, February 2013


The effective nuclear potential
journal, January 1958


A recipe for EFT uncertainty quantification in nuclear physics
journal, February 2015

  • Furnstahl, R. J.; Phillips, D. R.; Wesolowski, S.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3
  • DOI: 10.1088/0954-3899/42/3/034028

Experiments on N P Scattering with 260-Mev Neutrons
journal, July 1950


Implicit and explicit renormalization: Two complementary views of effective interactions
journal, February 2015


Short range forces and nuclear shell theory
journal, September 1958


Nucleon-nucleon potentials in comparison: Physics or polemics?
journal, July 1994


Symmetries of the similarity renormalization group for nuclear forces
journal, September 2012


Implicit vs explicit renormalization and effective interactions
journal, January 2014


The two-nucleon system at next-to-next-to-next-to-leading order
journal, January 2005


Model-independent low momentum nucleon interaction from phase shift equivalence
journal, October 2003


Nuclear forces from chiral lagrangians
journal, November 1990


Chiral effective field theory and nuclear forces
journal, June 2011


The nucleon-nucleon interaction
journal, March 2001


Experiments on Proton-Proton Scattering from 120 to 345 Mev
journal, September 1951


Neutron-proton elastic scattering at 325 MeV
journal, January 1977


Nuclear physics in colourful worlds
journal, February 1987


Neutron-proton elastic scattering between 200 and 500 MeV. I. Experimental details and measurements of the D t and P parameters
journal, March 1980


Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
journal, May 2015


Error analysis of nuclear forces and effective interactions
journal, February 2015

  • Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3
  • DOI: 10.1088/0954-3899/42/3/034013

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

  • Bogner, S. K.; Furnstahl, R. J.; Schwenk, A.
  • Progress in Particle and Nuclear Physics, Vol. 65, Issue 1
  • DOI: 10.1016/j.ppnp.2010.03.001

The renormalization group and the ε expansion
journal, August 1974


Spin-Orbit Coupling in the Proton-Proton Interaction
journal, July 1957


Note on a Nucleon-Nucleon Potential
journal, April 1962


Nucleon-Nucleon Interaction from Pion-Nucleon Phase-Shift Analysis
journal, August 1973


The bonn meson-exchange model for the nucleon—nucleon interaction
journal, May 1987


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

  • Stoks, V. G. J.; Klomp, R. A. M.; Terheggen, C. P. F.
  • Physical Review C, Vol. 49, Issue 6
  • DOI: 10.1103/PhysRevC.49.2950

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
  • DOI: 10.1103/PhysRevC.51.38

High-precision, charge-dependent Bonn nucleon-nucleon potential
journal, January 2001


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


Partial-wave analysis of all nucleon-nucleon scattering data below 350 MeV
journal, August 1993

  • Stoks, V. G. J.; Klomp, R. A. M.; Rentmeester, M. C. M.
  • Physical Review C, Vol. 48, Issue 2
  • DOI: 10.1103/PhysRevC.48.792

Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV
journal, July 2008


Nucleon-nucleon potential from an effective chiral Lagrangian
journal, March 1994


Peripheral nucleon-nucleon phase shifts and chiral symmetry
journal, November 1997


Chiral Two-Pion Exchange and Proton-Proton Partial-Wave Analysis
journal, June 1999

  • Rentmeester, M. C. M.; Timmermans, R. G. E.; Friar, J. L.
  • Physical Review Letters, Vol. 82, Issue 25
  • DOI: 10.1103/PhysRevLett.82.4992

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


Nucleon-nucleon potential in the 1/Nc expansion
journal, July 1997


Nucleon-nucleon interaction and large N c QCD
journal, March 2002


Wigner symmetry, large N c , and renormalized one-boson exchange potentials
journal, November 2008


Serber symmetry, large N c , and Yukawa-like one-boson exchange potentials
journal, July 2009


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


Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including Δ resonances
journal, February 2015


Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order
journal, May 2013


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


Hartree-Fock Calculations with Skyrme's Interaction. I. Spherical Nuclei
journal, March 1972


Density-Matrix Expansion for an Effective Nuclear Hamiltonian
journal, May 1972


A Skyrme parametrization from subnuclear to neutron star densities
journal, December 1997


Self-consistent mean-field models for nuclear structure
journal, January 2003

  • Bender, Michael; Heenen, Paul-Henri; Reinhard, Paul-Gerhard
  • Reviews of Modern Physics, Vol. 75, Issue 1
  • DOI: 10.1103/RevModPhys.75.121

Skyrme-force parametrization: Least-squares fit to nuclear ground-state properties
journal, January 1986


Variations on a theme by Skyrme: A systematic study of adjustments of model parameters
journal, March 2009


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


Self-consistent statistical error analysis of π π scattering
journal, April 2015


The Calculation of Errors by the Method of Least Squares
journal, April 1932


Local chiral effective field theory interactions and quantum Monte Carlo applications
journal, November 2014


Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
journal, January 2015


Constrained curve fitting
journal, March 2002


Bayesian curve fitting for lattice gauge theorists
journal, May 2002


Large- N c naturalness in coupled-channel meson-meson scattering
journal, December 2014


The Nucleon-Nucleon Interaction
journal, January 1978


From low-momentum interactions to nuclear structure
text, January 2009


Chiral effective field theory and nuclear forces
text, January 2011


Symmetries of the Similarity Renormalization Group for Nuclear Forces
text, January 2011


Effective interactions in the delta-shells potential
text, January 2012


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


Error analysis of nuclear forces and effective interactions
text, January 2014


The nucleon-nucleon interaction
text, January 2001


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


Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
text, January 1997


Works referencing / citing this record:

The falsification of Chiral Nuclear Forces
journal, January 2017


Low Scale Saturation of Effective NN Interactions and Their Symmetries
journal, June 2016


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
  • DOI: 10.1088/0954-3899/43/11/114001

Precise Determination of Charge Dependent Pion-Nucleon-Nucleon Coupling Constants
text, January 2016


The falsification of Chiral Nuclear Forces
text, January 2016