Uncertainty quantification of effective nuclear interactions

Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz

doi:10.1142/S0218301316410093

Uncertainty quantification of effective nuclear interactions

Journal Article · Wed Mar 02 00:00:00 EST 2016 · International Journal of Modern Physics E

DOI:https://doi.org/10.1142/S0218301316410093· OSTI ID:1343052

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

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Univ. of Granada (Spain)

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.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1343052

Report Number(s):: LLNL--JRNL-676451

Journal Information:: International Journal of Modern Physics E, Journal Name: International Journal of Modern Physics E Journal Issue: 05 Vol. 25; ISSN 0218-3013

Publisher:: World ScientificCopyright Statement

Country of Publication:: United States

Language:: English

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Wigner symmetry, large N c , and renormalized one-boson exchange potentials Cordón, A. Calle; Arriola, E. Ruiz Physical Review C, Vol. 78, Issue 5 https://doi.org/10.1103/PhysRevC.78.054002	journal	November 2008
Variations on a theme by Skyrme: A systematic study of adjustments of model parameters Klüpfel, P.; Reinhard, P. -G.; Bürvenich, T. J. Physical Review C, Vol. 79, Issue 3 https://doi.org/10.1103/PhysRevC.79.034310	journal	March 2009
Serber symmetry, large N c , and Yukawa-like one-boson exchange potentials Calle Cordón, A.; Arriola, E. Ruiz Physical Review C, Vol. 80, Issue 1 https://doi.org/10.1103/PhysRevC.80.014002	journal	July 2009
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Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz Physical Review C, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevC.88.064002	journal	December 2013
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Statistical error analysis for phenomenological nucleon-nucleon potentials Navarro Pérez, R.; Amaro, J. E.; Ruiz Arriola, E. Physical Review C, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevC.89.064006	journal	June 2014
Local chiral effective field theory interactions and quantum Monte Carlo applications Gezerlis, A.; Tews, I.; Epelbaum, E. Physical Review C, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevC.90.054323	journal	November 2014
Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory Entem, D. R.; Kaiser, N.; Machleidt, R. Physical Review C, Vol. 91, Issue 1 https://doi.org/10.1103/PhysRevC.91.014002	journal	January 2015
Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including Δ resonances Piarulli, M.; Girlanda, L.; Schiavilla, R. Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevC.91.024003	journal	February 2015
Low-energy chiral two-pion exchange potential with statistical uncertainties Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz Physical Review C, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevC.91.054002	journal	May 2015
Nucleon-Nucleon Interaction from Pion-Nucleon Phase-Shift Analysis Cottingham, W. N.; Lacombe, M.; Loiseau, B. Physical Review D, Vol. 8, Issue 3 https://doi.org/10.1103/PhysRevD.8.800	journal	August 1973
Large- N c naturalness in coupled-channel meson-meson scattering Ledwig, T.; Nieves, J.; Pich, A. Physical Review D, Vol. 90, Issue 11 https://doi.org/10.1103/PhysRevD.90.114020	journal	December 2014
Self-consistent statistical error analysis of π π scattering Navarro Pérez, R.; Ruiz Arriola, E.; Ruiz de Elvira, J. Physical Review D, Vol. 91, Issue 7 https://doi.org/10.1103/PhysRevD.91.074014	journal	April 2015
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Nucleon-nucleon potential from an effective chiral Lagrangian Ordóñez, C.; Ray, L.; van Kolck, U. Physical Review Letters, Vol. 72, Issue 13 https://doi.org/10.1103/PhysRevLett.72.1982	journal	March 1994
Chiral Two-Pion Exchange and Proton-Proton Partial-Wave Analysis Rentmeester, M. C. M.; Timmermans, R. G. E.; Friar, J. L. Physical Review Letters, Vol. 82, Issue 25 https://doi.org/10.1103/PhysRevLett.82.4992	journal	June 1999
Self-consistent mean-field models for nuclear structure Bender, Michael; Heenen, Paul-Henri; Reinhard, Paul-Gerhard Reviews of Modern Physics, Vol. 75, Issue 1 https://doi.org/10.1103/RevModPhys.75.121	journal	January 2003
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The Calculation of Errors by the Method of Least Squares Birge, Raymond T. Physical Review, Vol. 40, Issue 2 https://doi.org/10.1103/physrev.40.207	journal	April 1932
Experiments on N − P Scattering with 260-Mev Neutrons Kelly, E.; Leith, C.; Segrè, E. Physical Review, Vol. 79, Issue 1 https://doi.org/10.1103/physrev.79.96	journal	July 1950
Experiments on Proton-Proton Scattering from 120 to 345 Mev Chamberlain, O.; Segrè, E.; Wiegand, C. Physical Review, Vol. 83, Issue 5 https://doi.org/10.1103/physrev.83.923	journal	September 1951
Neutron-proton elastic scattering between 200 and 500 MeV. I. Experimental details and measurements of the D t and P parameters Clough, A. S.; Gibson, D. R.; Axen, D. Physical Review C, Vol. 21, Issue 3 https://doi.org/10.1103/physrevc.21.988	journal	March 1980
Skyrme-force parametrization: Least-squares fit to nuclear ground-state properties Friedrich, J.; Reinhard, P. -G. Physical Review C, Vol. 33, Issue 1 https://doi.org/10.1103/physrevc.33.335	journal	January 1986
Partial-wave analysis of all nucleon-nucleon scattering data below 350 MeV Stoks, V. G. J.; Klomp, R. A. M.; Rentmeester, M. C. M. Physical Review C, Vol. 48, Issue 2 https://doi.org/10.1103/physrevc.48.792	journal	August 1993
Construction of high-quality NN potential models Stoks, V. G. J.; Klomp, R. A. M.; Terheggen, C. P. F. Physical Review C, Vol. 49, Issue 6 https://doi.org/10.1103/physrevc.49.2950	journal	June 1994
Density-Matrix Expansion for an Effective Nuclear Hamiltonian Negele, J. W.; Vautherin, D. Physical Review C, Vol. 5, Issue 5 https://doi.org/10.1103/physrevc.5.1472	journal	May 1972
Hartree-Fock Calculations with Skyrme's Interaction. I. Spherical Nuclei Vautherin, D.; Brink, D. M. Physical Review C, Vol. 5, Issue 3 https://doi.org/10.1103/physrevc.5.626	journal	March 1972
Accurate nucleon-nucleon potential with charge-independence breaking Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R. Physical Review C, Vol. 51, Issue 1 https://doi.org/10.1103/physrevc.51.38	journal	January 1995
Nucleon-nucleon potential in the 1/Nc expansion Kaplan, David; Manohar, Aneesh Physical Review C, Vol. 56, Issue 1 https://doi.org/10.1103/physrevc.56.76	journal	July 1997
High-precision, charge-dependent Bonn nucleon-nucleon potential Machleidt, R. Physical Review C, Vol. 63, Issue 2 https://doi.org/10.1103/physrevc.63.024001	journal	January 2001
Nucleon-nucleon interaction and large N c QCD Banerjee, Manoj K.; Cohen, Thomas D.; Gelman, Boris A. Physical Review C, Vol. 65, Issue 3 https://doi.org/10.1103/physrevc.65.034011	journal	March 2002
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory Entem, D. R.; Machleidt, R. Physical Review C, Vol. 68, Issue 4 https://doi.org/10.1103/physrevc.68.041001	journal	October 2003
Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV Gross, Franz; Stadler, Alfred Physical Review C, Vol. 78, Issue 1 https://doi.org/10.1103/physrevc.78.014005	journal	July 2008
Wigner symmetry, large N c , and renormalized one-boson exchange potentials Cordón, A. Calle; Arriola, E. Ruiz Physical Review C, Vol. 78, Issue 5 https://doi.org/10.1103/physrevc.78.054002	journal	November 2008
Variations on a theme by Skyrme: A systematic study of adjustments of model parameters Klüpfel, P.; Reinhard, P. -G.; Bürvenich, T. J. Physical Review C, Vol. 79, Issue 3 https://doi.org/10.1103/physrevc.79.034310	journal	March 2009
Serber symmetry, large N c , and Yukawa-like one-boson exchange potentials Calle Cordón, A.; Arriola, E. Ruiz Physical Review C, Vol. 80, Issue 1 https://doi.org/10.1103/physrevc.80.014002	journal	July 2009
Symmetries of the similarity renormalization group for nuclear forces Timóteo, V. S.; Szpigel, S.; Ruiz Arriola, E. Physical Review C, Vol. 86, Issue 3 https://doi.org/10.1103/physrevc.86.034002	journal	September 2012
Partial-wave analysis of nucleon-nucleon scattering below the pion-production threshold Navarro Pérez, R.; Amaro, J. E.; Ruiz Arriola, E. Physical Review C, Vol. 88, Issue 2 https://doi.org/10.1103/physrevc.88.024002	journal	August 2013
Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz Physical Review C, Vol. 88, Issue 6 https://doi.org/10.1103/physrevc.88.064002	journal	December 2013
Coarse-grained NN potential with chiral two-pion exchange Navarro Pérez, R.; Amaro, J. E.; Arriola, E. Ruiz Physical Review C, Vol. 89, Issue 2 https://doi.org/10.1103/physrevc.89.024004	journal	February 2014
Statistical error analysis for phenomenological nucleon-nucleon potentials Navarro Pérez, R.; Amaro, J. E.; Ruiz Arriola, E. Physical Review C, Vol. 89, Issue 6 https://doi.org/10.1103/physrevc.89.064006	journal	June 2014
Local chiral effective field theory interactions and quantum Monte Carlo applications Gezerlis, A.; Tews, I.; Epelbaum, E. Physical Review C, Vol. 90, Issue 5 https://doi.org/10.1103/physrevc.90.054323	journal	November 2014
Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory Entem, D. R.; Kaiser, N.; Machleidt, R. Physical Review C, Vol. 91, Issue 1 https://doi.org/10.1103/physrevc.91.014002	journal	January 2015
Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including Δ resonances Piarulli, M.; Girlanda, L.; Schiavilla, R. Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/physrevc.91.024003	journal	February 2015
Low-energy chiral two-pion exchange potential with statistical uncertainties Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz Physical Review C, Vol. 91, Issue 5 https://doi.org/10.1103/physrevc.91.054002	journal	May 2015
Nucleon-Nucleon Interaction from Pion-Nucleon Phase-Shift Analysis Cottingham, W. N.; Lacombe, M.; Loiseau, B. Physical Review D, Vol. 8, Issue 3 https://doi.org/10.1103/physrevd.8.800	journal	August 1973
Large- N c naturalness in coupled-channel meson-meson scattering Ledwig, T.; Nieves, J.; Pich, A. Physical Review D, Vol. 90, Issue 11 https://doi.org/10.1103/physrevd.90.114020	journal	December 2014
Self-consistent statistical error analysis of π π scattering Navarro Pérez, R.; Ruiz Arriola, E.; Ruiz de Elvira, J. Physical Review D, Vol. 91, Issue 7 https://doi.org/10.1103/physrevd.91.074014	journal	April 2015
Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order Ekström, A.; Baardsen, G.; Forssén, C. Physical Review Letters, Vol. 110, Issue 19 https://doi.org/10.1103/physrevlett.110.192502	journal	May 2013
Nucleon-nucleon potential from an effective chiral Lagrangian Ordóñez, C.; Ray, L.; van Kolck, U. Physical Review Letters, Vol. 72, Issue 13 https://doi.org/10.1103/physrevlett.72.1982	journal	March 1994
Chiral Two-Pion Exchange and Proton-Proton Partial-Wave Analysis Rentmeester, M. C. M.; Timmermans, R. G. E.; Friar, J. L. Physical Review Letters, Vol. 82, Issue 25 https://doi.org/10.1103/physrevlett.82.4992	journal	June 1999
Self-consistent mean-field models for nuclear structure Bender, Michael; Heenen, Paul-Henri; Reinhard, Paul-Gerhard Reviews of Modern Physics, Vol. 75, Issue 1 https://doi.org/10.1103/revmodphys.75.121	journal	January 2003
Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order Epelbaum, E.; Krebs, H.; Meißner, U. -G. The European Physical Journal A, Vol. 51, Issue 5 https://doi.org/10.1140/epja/i2015-15053-8	journal	May 2015
Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV Gross, Franz; Stadler, Alfred arXiv https://doi.org/10.48550/arxiv.0802.1552	text	January 2008
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Chiral effective field theory and nuclear forces Machleidt, R.; Entem, D. R. arXiv https://doi.org/10.48550/arxiv.1105.2919	text	January 2011
Symmetries of the Similarity Renormalization Group for Nuclear Forces Timoteo, Varese Salvador; Szpigel, Sergio; Arriola, Enrique Ruiz arXiv https://doi.org/10.48550/arxiv.1108.1162	text	January 2011
Effective interactions in the delta-shells potential Perez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz arXiv https://doi.org/10.48550/arxiv.1209.6269	text	January 2012
Partial Wave Analysis of Nucleon-Nucleon Scattering below pion production threshold Perez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz arXiv https://doi.org/10.48550/arxiv.1304.0895	text	January 2013
Error analysis of nuclear forces and effective interactions Perez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz arXiv https://doi.org/10.48550/arxiv.1406.0625	text	January 2014
The nucleon-nucleon interaction Machleidt, R.; Slaus, I. arXiv https://doi.org/10.48550/arxiv.nucl-th/0101056	text	January 2001
Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory Entem, D. R.; Machleidt, R. arXiv https://doi.org/10.48550/arxiv.nucl-th/0304018	text	January 2003
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The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 11 https://doi.org/10.1088/0954-3899/43/11/114001	journal	October 2016
Precise determination of charge-dependent pion-nucleon-nucleon coupling constants Pérez, R. Navarro; Amaro, J. E.; Ruiz Arriola, E. Physical Review C, Vol. 95, Issue 6 https://doi.org/10.1103/physrevc.95.064001	journal	June 2017
Low Scale Saturation of Effective NN Interactions and Their Symmetries Ruiz Arriola, Enrique Symmetry, Vol. 8, Issue 6 https://doi.org/10.3390/sym8060042	journal	June 2016
Low scale saturation of Effective NN Interactions and their Symmetries Arriola, E. Ruiz arXiv https://doi.org/10.48550/arxiv.1009.4161	preprint	January 2010
Precise Determination of Charge Dependent Pion-Nucleon-Nucleon Coupling Constants Perez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz arXiv https://doi.org/10.48550/arxiv.1606.00592	text	January 2016
The falsification of Chiral Nuclear Forces Arriola, E. Ruiz; Amaro, J. E.; Perez, R. Navarro arXiv https://doi.org/10.48550/arxiv.1611.02607	text	January 2016

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