Quantification of Uncertainties in Nuclear Density Functional Theory

Schunck, N; McDonnell, J D; Higdon, D; Sarich, J; Wild, S M

doi:10.1140/epja/i2015-15169-9

Title: Quantification of Uncertainties in Nuclear Density Functional Theory

Conference · Wed May 28 00:00:00 EDT 2014

DOI:https://doi.org/10.1140/epja/i2015-15169-9· OSTI ID:1169875

Schunck, N; McDonnell, J D; Higdon, D; Sarich, J; Wild, S M

View Conference

Cite

Export

Save

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

Sponsoring Organization:: USDOE

DOE Contract Number:: DE-AC52-07NA27344

OSTI ID:: 1169875

Report Number(s):: LLNL-PROC-655056

Resource Relation:: Journal Volume: 51; Journal Issue: 12; Conference: Presented at: International Workshop on Nuclear Data Covariances, Santa Fe, NM, United States, Apr 28 - May 01, 2014

Country of Publication:: United States

Language:: English

References (133)

Inverse Problem Theory and Methods for Model Parameter Estimation Tarantola, Albert https://doi.org/10.1137/1.9780898717921	book	January 2005
Symmetry broken and restored coupled-cluster theory: I. Rotational symmetry and angular momentum Duguet, T. Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 2 https://doi.org/10.1088/0954-3899/42/2/025107	journal	December 2014
Odd-Even Staggering of Nuclear Masses: Pairing or Shape Effect? Satuła, W.; Dobaczewski, J.; Nazarewicz, W. Physical Review Letters, Vol. 81, Issue 17 https://doi.org/10.1103/PhysRevLett.81.3599	journal	October 1998
Microscopically based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization Stoitsov, M.; Kortelainen, M.; Bogner, S. K. Physical Review C, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevC.82.054307	journal	November 2010
Uncertainties of mass extrapolations in Hartree-Fock-Bogoliubov mass models Goriely, S.; Capote, R. Physical Review C, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevC.89.054318	journal	May 2014
Lipkin method of particle-number restoration to higher orders Wang, X. B.; Dobaczewski, J.; Kortelainen, M. Physical Review C, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevC.90.014312	journal	July 2014
Solution of the Skyrme—Hartree—Fock equations in the Cartesian deformed harmonic oscillator basis II. The program HFODD Dobaczewski, J.; Dudek, J. Computer Physics Communications, Vol. 102, Issue 1-3 https://doi.org/10.1016/S0010-4655(97)00005-2	journal	May 1997
Computer Model Calibration Using High-Dimensional Output Higdon, Dave; Gattiker, James; Williams, Brian Journal of the American Statistical Association, Vol. 103, Issue 482 https://doi.org/10.1198/016214507000000888	journal	June 2008
Nuclear energy density optimization: Shell structure Kortelainen, M.; McDonnell, J.; Nazarewicz, W. Physical Review C, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevC.89.054314	journal	May 2014
Pairing interaction and self-consistent densities in neutron-rich nuclei Dobaczewski, J.; Nazarewicz, W.; Reinhard, P. -G. Nuclear Physics A, Vol. 693, Issue 1-2 https://doi.org/10.1016/S0375-9474(01)00993-9	journal	October 2001
Surface symmetry energy of nuclear energy density functionals Nikolov, N.; Schunck, N.; Nazarewicz, W. Physical Review C, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevC.83.034305	journal	March 2011
Description of induced nuclear fission with Skyrme energy functionals. II. Finite temperature effects Schunck, N.; Duke, D.; Carr, H. Physical Review C, Vol. 91, Issue 3 https://doi.org/10.1103/PhysRevC.91.034327	journal	March 2015
Evaluation of the Covariance Matrix of 239Pu Neutronic Cross Sections in the Continuum Using the Backward-Forward Monte-Carlo Method Bauge, E.; Dossantos-Uzarralde, P. Journal of the Korean Physical Society, Vol. 59, Issue 2(3) https://doi.org/10.3938/jkps.59.1218	journal	August 2011
The Ame2003 atomic mass evaluation Audi, G.; Wapstra, A. H.; Thibault, C. Nuclear Physics A, Vol. 729, Issue 1 https://doi.org/10.1016/j.nuclphysa.2003.11.003	journal	December 2003
Hartree-Fock-Bogolyubov calculations with the $D 1$ effective interaction on spherical nuclei Dechargé, J.; Gogny, D. Physical Review C, Vol. 21, Issue 4 https://doi.org/10.1103/PhysRevC.21.1568	journal	April 1980
Solution of the Skyrme–Hartree–Fock–Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (IV) HFODD (v2.08i): a new version of the program Dobaczewski, J.; Olbratowski, P. Computer Physics Communications, Vol. 158, Issue 3 https://doi.org/10.1016/j.cpc.2004.02.003	journal	April 2004
Lipkin translational-symmetry restoration in the mean-field and energy–density-functional methods Dobaczewski, Jacek Journal of Physics G: Nuclear and Particle Physics, Vol. 36, Issue 10 https://doi.org/10.1088/0954-3899/36/10/105105	journal	September 2009
Density functional theory and Kohn-Sham scheme for self-bound systems Messud, Jérémie; Bender, Michael; Suraud, Eric Physical Review C, Vol. 80, Issue 5 https://doi.org/10.1103/PhysRevC.80.054314	journal	November 2009
Towards a better parametrisation of Skyrme-like effective forces: A critical study of the SkM force Bartel, J.; Quentin, P.; Brack, M. Nuclear Physics A, Vol. 386, Issue 1 https://doi.org/10.1016/0375-9474(82)90403-1	journal	September 1982
Brownian Shape Motion on Five-Dimensional Potential-Energy Surfaces:Nuclear Fission-Fragment Mass Distributions Randrup, Jørgen; Möller, Peter Physical Review Letters, Vol. 106, Issue 13 https://doi.org/10.1103/PhysRevLett.106.132503	journal	March 2011
Third minima in thorium and uranium isotopes in a self-consistent theory McDonnell, J. D.; Nazarewicz, W.; Sheikh, J. A. Physical Review C, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevC.87.054327	journal	May 2013
Kohn–Sham density functional inspired approach to nuclear binding Baldo, M.; Schuck, P.; Viñas, X. Physics Letters B, Vol. 663, Issue 5 https://doi.org/10.1016/j.physletb.2008.04.013	journal	June 2008
Isotope shifts within the energy-density functional approach with density dependent pairing Fayans, S. A.; Tolokonnikov, S. V.; Trykov, E. L. Physics Letters B, Vol. 338, Issue 1 https://doi.org/10.1016/0370-2693(94)91334-X	journal	October 1994
Configuration mixing within the energy density functional formalism: Removing spurious contributions from nondiagonal energy kernels Lacroix, D.; Duguet, T.; Bender, M. Physical Review C, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevC.79.044318	journal	April 2009
Error estimates of theoretical models: a guide Dobaczewski, J.; Nazarewicz, W.; Reinhard, P-G Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 7 https://doi.org/10.1088/0954-3899/41/7/074001	journal	May 2014
Self-Consistent Equations Including Exchange and Correlation Effects Kohn, W.; Sham, L. J. Physical Review, Vol. 140, Issue 4A, p. A1133-A1138 https://doi.org/10.1103/PhysRev.140.A1133	journal	November 1965
Misfits in Skyrme–Hartree–Fock Erler, J.; Klüpfel, P.; Reinhard, P-G Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 6 https://doi.org/10.1088/0954-3899/37/6/064001	journal	March 2010
Energy-density functional approach for non-spherical nuclei Krömer, E.; Tolokonnikov, S. V.; Fayans, S. A. Physics Letters B, Vol. 363, Issue 1-2 https://doi.org/10.1016/0370-2693(95)01216-D	journal	November 1995
Information content of the weak-charge form factor Reinhard, P. -G.; Piekarewicz, J.; Nazarewicz, W. Physical Review C, Vol. 88, Issue 3 https://doi.org/10.1103/PhysRevC.88.034325	journal	September 2013
Axially deformed relativistic Hartree Bogoliubov theory with a separable pairing force Tian, Yuan; Ma, Zhong-yu; Ring, P. Physical Review C, Vol. 80, Issue 2 https://doi.org/10.1103/PhysRevC.80.024313	journal	August 2009
Propagation of uncertainties in the Skyrme energy-density-functional model Gao, Y.; Dobaczewski, J.; Kortelainen, M. Physical Review C, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevC.87.034324	journal	March 2013
Hartree-Fock-Bogoliubov nuclear mass model with 0.50 MeV accuracy based on standard forms of Skyrme and pairing functionals Goriely, S.; Chamel, N.; Pearson, J. M. Physical Review C, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevC.88.061302	journal	December 2013
Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. VII. Simultaneous fits to masses and fission barriers Goriely, S.; Samyn, M.; Pearson, J. M. Physical Review C, Vol. 75, Issue 6 https://doi.org/10.1103/PhysRevC.75.064312	journal	June 2007
Solution of self-consistent equations for the N3LO nuclear energy density functional in spherical symmetry. The program hosphe (v1.02) Carlsson, B. G.; Dobaczewski, J.; Toivanen, J. Computer Physics Communications, Vol. 181, Issue 9 https://doi.org/10.1016/j.cpc.2010.05.022	journal	September 2010
Axially deformed solution of the Skyrme-Hartree–Fock–Bogoliubov equations using the transformed harmonic oscillator basis (II) hfbtho v2.00d: A new version of the program Stoitsov, M. V.; Schunck, N.; Kortelainen, M. Computer Physics Communications, Vol. 184, Issue 6 https://doi.org/10.1016/j.cpc.2013.01.013	journal	June 2013
Description of induced nuclear fission with Skyrme energy functionals: Static potential energy surfaces and fission fragment properties Schunck, N.; Duke, D.; Carr, H. Physical Review C, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevC.90.054305	journal	November 2014
Odd-even mass differences from self-consistent mean field theory Bertsch, G. F.; Bertulani, C. A.; Nazarewicz, W. Physical Review C, Vol. 79, Issue 3 https://doi.org/10.1103/PhysRevC.79.034306	journal	March 2009
Computational nuclear quantum many-body problem: The UNEDF project Bogner, S.; Bulgac, A.; Carlson, J. Computer Physics Communications, Vol. 184, Issue 10 https://doi.org/10.1016/j.cpc.2013.05.020	journal	October 2013
Bayesian calibration of computer models Kennedy, Marc C.; O'Hagan, Anthony Journal of the Royal Statistical Society: Series B (Statistical Methodology), Vol. 63, Issue 3 https://doi.org/10.1111/1467-9868.00294	journal	August 2001
Bayesian methods for parameter estimation in effective field theories Schindler, M. R.; Phillips, D. R. Annals of Physics, Vol. 324, Issue 3 https://doi.org/10.1016/j.aop.2008.09.003	journal	March 2009
Solution of the Skyrme HF+BCS equation on a 3D mesh Bonche, P.; Flocard, H.; Heenen, P. H. Computer Physics Communications, Vol. 171, Issue 1 https://doi.org/10.1016/j.cpc.2005.05.001	journal	September 2005
Non-empirical Nuclear Energy Functionals, Pairing Gaps and Odd-Even Mass Differences Duguet, T.; Lesinski, T.; Milin, Matko NUCLEAR STRUCTURE AND DYNAMICS ’09: Proceedings of the International Conference, AIP Conference Proceedings https://doi.org/10.1063/1.3232084	conference	January 2009
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
Toward ab initio density functional theory for nuclei Drut, J. E.; Furnstahl, R. J.; Platter, L. Progress in Particle and Nuclear Physics, Vol. 64, Issue 1 https://doi.org/10.1016/j.ppnp.2009.09.001	journal	January 2010
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
Deformed coordinate-space Hartree-Fock-Bogoliubov approach to weakly bound nuclei and large deformations Pei, J. C.; Stoitsov, M. V.; Fann, G. I. Physical Review C, Vol. 78, Issue 6 https://doi.org/10.1103/PhysRevC.78.064306	journal	December 2008
Towards a Hartree-Fock mass formula Tondeur, F.; Goriely, S.; Pearson, J. M. Physical Review C, Vol. 62, Issue 2 https://doi.org/10.1103/PhysRevC.62.024308	journal	July 2000
Convergence properties of ab initio calculations of light nuclei in a harmonic oscillator basis Coon, S. A.; Avetian, M. I.; Kruse, M. K. G. Physical Review C, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevC.86.054002	journal	November 2012
Intrinsic-density functionals Engel, J. Physical Review C, Vol. 75, Issue 1 https://doi.org/10.1103/PhysRevC.75.014306	journal	January 2007
Axially deformed solution of the Skyrme–Hartree–Fock–Bogolyubov equations using the transformed harmonic oscillator basis. The program HFBTHO (v1.66p) Stoitsov, M. V.; Dobaczewski, J.; Nazarewicz, W. Computer Physics Communications, Vol. 167, Issue 1 https://doi.org/10.1016/j.cpc.2005.01.001	journal	April 2005
Corrections to nuclear energies and radii in finite oscillator spaces Furnstahl, R. J.; Hagen, G.; Papenbrock, T. Physical Review C, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevC.86.031301	journal	September 2012
Fission properties of the Barcelona-Catania-Paris-Madrid energy density functional Giuliani, Samuel A.; Robledo, Luis M. Physical Review C, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevC.88.054325	journal	November 2013
Information content of the low-energy electric dipole strength: Correlation analysis Reinhard, P. -G.; Nazarewicz, W. Physical Review C, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevC.87.014324	journal	January 2013
Fission-fragment mass distributions from strongly damped shape evolution Randrup, J.; Möller, P.; Sierk, A. J. Physical Review C, Vol. 84, Issue 3 https://doi.org/10.1103/PhysRevC.84.034613	journal	September 2011
Application of finite element methods in relativistic mean-field theory: spherical nucleus Pöschl, W.; Vretenar, D.; Rummel, A. Computer Physics Communications, Vol. 101, Issue 1-2 https://doi.org/10.1016/S0010-4655(97)84583-3	journal	April 1997
Uncertainty Quantification for Nuclear Density Functional Theory and Information Content of New Measurements McDonnell, J. D.; Schunck, N.; Higdon, D. Physical Review Letters, Vol. 114, Issue 12 https://doi.org/10.1103/PhysRevLett.114.122501	journal	March 2015
Contact Pairing Interaction for the Hartree-Fock-Bogoliubov Calculations Dobaczewski, J.; Nazarewicz, W.; Stoitsov, M. V. The Nuclear Many-Body Problem 2001 https://doi.org/10.1007/978-94-010-0460-2_25	book	January 2002
An Investigation of the Performance of the Unified Monte Carlo Method of Neutron Cross Section Data Evaluation Capote, Roberto; Smith, Donald L. Nuclear Data Sheets, Vol. 109, Issue 12 https://doi.org/10.1016/j.nds.2008.11.007	journal	December 2008
Consistent Procedure for Nuclear Data Evaluation Based on Modeling Leeb, H.; Neudecker, D.; Srdinko, Th. Nuclear Data Sheets, Vol. 109, Issue 12 https://doi.org/10.1016/j.nds.2008.11.006	journal	December 2008
Adaptive multi-resolution 3D Hartree-Fock-Bogoliubov solver for nuclear structure Pei, J. C.; Fann, G. I.; Harrison, R. J. Physical Review C, Vol. 90, Issue 2 https://doi.org/10.1103/PhysRevC.90.024317	journal	August 2014
Nuclear Superfluidity Brink, David M.; Broglia, Ricardo A. https://doi.org/10.1017/CBO9780511534911	book	August 2009
Large-scale mean-field calculations from proton to neutron drip lines using the D1S Gogny force Hilaire, S.; Girod, M. The European Physical Journal A, Vol. 33, Issue 2 https://doi.org/10.1140/epja/i2007-10450-2	journal	August 2007
The effective nuclear potential Skyrme, T. H. R. Nuclear Physics, Vol. 9, Issue 4 https://doi.org/10.1016/0029-5582(58)90345-6	journal	January 1958
Error analysis in nuclear density functional theory Schunck, Nicolas; McDonnell, Jordan D.; Sarich, Jason Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3 https://doi.org/10.1088/0954-3899/42/3/034024	journal	February 2015
The limits of the nuclear landscape Erler, Jochen; Birge, Noah; Kortelainen, Markus Nature, Vol. 486, Issue 7404 https://doi.org/10.1038/nature11188	journal	June 2012
Hartree-Fock-Bogolyubov description of nuclei near the neutron-drip line Dobaczewski, J.; Flocard, H.; Treiner, J. Nuclear Physics A, Vol. 422, Issue 1 https://doi.org/10.1016/0375-9474(84)90433-0	journal	June 1984
A recipe for EFT uncertainty quantification in nuclear physics Furnstahl, R. J.; Phillips, D. R.; Wesolowski, S. Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3 https://doi.org/10.1088/0954-3899/42/3/034028	journal	February 2015
Broyden's method in nuclear structure calculations Baran, Andrzej; Bulgac, Aurel; Forbes, Michael McNeil Physical Review C, Vol. 78, Issue 1 https://doi.org/10.1103/PhysRevC.78.014318	journal	July 2008
Uncertainties in nuclear fission data Talou, Patrick; Kawano, Toshihiko; Chadwick, Mark B. Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3 https://doi.org/10.1088/0954-3899/42/3/034025	journal	February 2015
Solution of the Skyrme–Hartree–Fock–Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (V) HFODD(v2.08k) Dobaczewski, J.; Olbratowski, P. Computer Physics Communications, Vol. 167, Issue 3 https://doi.org/10.1016/j.cpc.2005.01.014	journal	May 2005
First Gogny-Hartree-Fock-Bogoliubov Nuclear Mass Model Goriely, S.; Hilaire, S.; Girod, M. Physical Review Letters, Vol. 102, Issue 24 https://doi.org/10.1103/PhysRevLett.102.242501	journal	June 2009
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
Nonlocal energy density functionals for low-energy nuclear structure Raimondi, F.; Bennaceur, K.; Dobaczewski, J. Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 5 https://doi.org/10.1088/0954-3899/41/5/055112	journal	March 2014
Mass and kinetic energy distributions of fission fragments using the time dependent generator coordinate method Goutte, H.; Casoli, P.; Berger, J. -F. Nuclear Physics A, Vol. 734 https://doi.org/10.1016/j.nuclphysa.2004.01.038	journal	April 2004
The Nuclear Energy Density Functional Formalism Duguet, T. The Euroschool on Exotic Beams, Vol. IV https://doi.org/10.1007/978-3-642-45141-6_7	book	January 2014
Solution of the Skyrme–Hartree–Fock equations in the Cartesian deformed harmonic-oscillator basis. (III) HFODD (v1.75r): a new version of the program Dobaczewski, J.; Dudek, J. Computer Physics Communications, Vol. 131, Issue 1-2 https://doi.org/10.1016/S0010-4655(00)00121-1	journal	September 2000
Density functional theory with spatial-symmetry breaking and configuration mixing Lesinski, Thomas Physical Review C, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevC.89.044305	journal	April 2014
Testing the density matrix expansion against ab initio calculations of trapped neutron drops Bogner, S. K.; Furnstahl, R. J.; Hergert, H. Physical Review C, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevC.84.044306	journal	October 2011
Time-dependent quantum collective dynamics applied to nuclear fission Berger, J. F.; Girod, M.; Gogny, D. Computer Physics Communications, Vol. 63, Issue 1-3 https://doi.org/10.1016/0010-4655(91)90263-K	journal	February 1991
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
Derivative-free optimization for parameter estimation in computational nuclear physics Wild, Stefan M.; Sarich, Jason; Schunck, Nicolas Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3 https://doi.org/10.1088/0954-3899/42/3/034031	journal	February 2015
Dependence of single-particle energies on coupling constants of the nuclear energy density functional Kortelainen, M.; Dobaczewski, J.; Mizuyama, K. Physical Review C, Vol. 77, Issue 6 https://doi.org/10.1103/PhysRevC.77.064307	journal	June 2008
Solution of the Skyrme–HF+BCS equation on a 3D mesh, II: A new version of the Ev8 code Ryssens, W.; Hellemans, V.; Bender, M. Computer Physics Communications, Vol. 187 https://doi.org/10.1016/j.cpc.2014.10.001	journal	February 2015
Variation after particle-number projection for the Hartree-Fock-Bogoliubov method with the Skyrme energy density functional Stoitsov, M. V.; Dobaczewski, J.; Kirchner, R. Physical Review C, Vol. 76, Issue 1 https://doi.org/10.1103/PhysRevC.76.014308	journal	July 2007
Separable pairing force for relativistic quasiparticle random-phase approximation Tian, Yuan; Ma, Zhong-yu; Ring, Peter Physical Review C, Vol. 79, Issue 6 https://doi.org/10.1103/PhysRevC.79.064301	journal	June 2009
Solution of the Skyrme–Hartree–Fock–Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. Schunck, N.; Dobaczewski, J.; McDonnell, J. Computer Physics Communications, Vol. 183, Issue 1 https://doi.org/10.1016/j.cpc.2011.08.013	journal	January 2012
Tensor part of the Skyrme energy density functional. II. Deformation properties of magic and semi-magic nuclei Bender, M.; Bennaceur, K.; Duguet, T. Physical Review C, Vol. 80, Issue 6 https://doi.org/10.1103/PhysRevC.80.064302	journal	December 2009
Electric dipole polarizability and the neutron skin Piekarewicz, J.; Agrawal, B. K.; Colò, G. Physical Review C, Vol. 85, Issue 4 https://doi.org/10.1103/PhysRevC.85.041302	journal	April 2012
Parity restoration in the highly truncated diagonalization approach: Application to the outer fission barrier of $^{240}$ Pu Hao, T. V. Nhan; Quentin, P.; Bonneau, L. Physical Review C, Vol. 86, Issue 6 https://doi.org/10.1103/PhysRevC.86.064307	journal	December 2012
Nuclear energy density optimization: Large deformations Kortelainen, M.; McDonnell, J.; Nazarewicz, W. Physical Review C, Vol. 85, Issue 2 https://doi.org/10.1103/PhysRevC.85.024304	journal	February 2012
Bayesian Error Estimation in Density-Functional Theory Mortensen, J. J.; Kaasbjerg, K.; Frederiksen, S. L. Physical Review Letters, Vol. 95, Issue 21 https://doi.org/10.1103/PhysRevLett.95.216401	journal	November 2005
Self-consistent symmetries in the proton-neutron Hartree-Fock-Bogoliubov approach Rohoziński, S. G.; Dobaczewski, J.; Nazarewicz, W. Physical Review C, Vol. 81, Issue 1 https://doi.org/10.1103/PhysRevC.81.014313	journal	January 2010
Error analysis of nuclear mass fits Toivanen, J.; Dobaczewski, J.; Kortelainen, M. Physical Review C, Vol. 78, Issue 3 https://doi.org/10.1103/PhysRevC.78.034306	journal	September 2008
FELIX-1.0: A finite element solver for the time dependent generator coordinate method with the Gaussian overlap approximation Regnier, D.; Verrière, M.; Dubray, N. Computer Physics Communications, Vol. 200 https://doi.org/10.1016/j.cpc.2015.11.013	journal	March 2016
The self-consistent single-particle model in nuclear physics Mang, H. Physics Reports, Vol. 18, Issue 6 https://doi.org/10.1016/0370-1573(75)90012-5	journal	June 1975
Solution of the Skyrme-Hartree-Fock equations in the Cartesian deformed harmonic oscillator basis I. The method Dobaczewski, J.; Dudek, J. Computer Physics Communications, Vol. 102, Issue 1-3 https://doi.org/10.1016/S0010-4655(97)00004-0	journal	May 1997
Energy density functional for nuclei and neutron stars Erler, J.; Horowitz, C. J.; Nazarewicz, W. Physical Review C, Vol. 87, Issue 4 https://doi.org/10.1103/PhysRevC.87.044320	journal	April 2013
Universal properties of infrared oscillator basis extrapolations More, S. N.; Ekström, A.; Furnstahl, R. J. Physical Review C, Vol. 87, Issue 4 https://doi.org/10.1103/PhysRevC.87.044326	journal	April 2013
Nuclear energy density optimization Kortelainen, M.; Lesinski, T.; Moré, J. Physical Review C, Vol. 82, Issue 2 https://doi.org/10.1103/PhysRevC.82.024313	journal	August 2010
Description of pairing correlation in many-body finite systems with density functional theory Hupin, Guillaume; Lacroix, Denis Physical Review C, Vol. 83, Issue 2 https://doi.org/10.1103/PhysRevC.83.024317	journal	February 2011
A Skyrme parametrization from subnuclear to neutron star densities Chabanat, E.; Bonche, P.; Haensel, P. Nuclear Physics A, Vol. 627, Issue 4 https://doi.org/10.1016/S0375-9474(97)00596-4	journal	December 1997
Building relativistic mean field models for finite nuclei and neutron stars Chen, Wei-Chia; Piekarewicz, J. Physical Review C, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevC.90.044305	journal	October 2014
Inhomogeneous Electron Gas Hohenberg, P.; Kohn, W. Physical Review, Vol. 136, Issue 3B, p. B864-B871 https://doi.org/10.1103/PhysRev.136.B864	journal	November 1964
New Kohn-Sham density functional based on microscopic nuclear and neutron matter equations of state Baldo, M.; Robledo, L. M.; Schuck, P. Physical Review C, Vol. 87, Issue 6 https://doi.org/10.1103/PhysRevC.87.064305	journal	June 2013
Occupation-number-based energy functional for nuclear masses Bertolli, M.; Papenbrock, T.; Wild, S. M. Physical Review C, Vol. 85, Issue 1 https://doi.org/10.1103/PhysRevC.85.014322	journal	January 2012
Nuclear isotope shifts within the local energy-density functional approach Fayans, S. A.; Tolokonnikov, S. V.; Trykov, E. L. Nuclear Physics A, Vol. 676, Issue 1-4 https://doi.org/10.1016/S0375-9474(00)00192-5	journal	August 2000
Multi-output separable Gaussian process: Towards an efficient, fully Bayesian paradigm for uncertainty quantification Bilionis, Ilias; Zabaras, Nicholas; Konomi, Bledar A. Journal of Computational Physics, Vol. 241 https://doi.org/10.1016/j.jcp.2013.01.011	journal	May 2013
Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. V. Extension to fission barriers Samyn, M.; Goriely, S.; Pearson, J. M. Physical Review C, Vol. 72, Issue 4 https://doi.org/10.1103/PhysRevC.72.044316	journal	October 2005
Neutron-skin uncertainties of Skyrme energy density functionals Kortelainen, M.; Erler, J.; Nazarewicz, W. Physical Review C, Vol. 88, Issue 3 https://doi.org/10.1103/PhysRevC.88.031305	journal	September 2013
Skyrme pseudo-potential-based EDF parametrization for spuriousity-free MR EDF calculations Sadoudi, J.; Bender, M.; Bennaceur, K. Physica Scripta, Vol. T154 https://doi.org/10.1088/0031-8949/2013/T154/014013	journal	May 2013
Number-conserving approach to the pairing problem: Application to Kr and Sn isotopic chains Hupin, Guillaume; Lacroix, Denis Physical Review C, Vol. 86, Issue 2 https://doi.org/10.1103/PhysRevC.86.024309	journal	August 2012
Skyrme functional from a three-body pseudopotential of second order in gradients: Formalism for central terms Sadoudi, J.; Duguet, T.; Meyer, J. Physical Review C, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevC.88.064326	journal	December 2013
The Skyrme interaction in finite nuclei and nuclear matter Stone, J. R.; Reinhard, P. -G. Progress in Particle and Nuclear Physics, Vol. 58, Issue 2 https://doi.org/10.1016/j.ppnp.2006.07.001	journal	April 2007
Coordinate-space solution of the Skyrme–Hartree–Fock– Bogolyubov equations within spherical symmetry. The program HFBRAD (v1.00) Bennaceur, K.; Dobaczewski, J. Computer Physics Communications, Vol. 168, Issue 2 https://doi.org/10.1016/j.cpc.2005.02.002	journal	June 2005
Point symmetries in the Hartree-Fock approach. I. Densities, shapes, and currents Dobaczewski, J.; Dudek, J.; Rohoziński, S. G. Physical Review C, Vol. 62, Issue 1 https://doi.org/10.1103/PhysRevC.62.014310	journal	June 2000
Coordinate-space solution of the Skyrme–Hartree–Fock– Bogolyubov equations within spherical symmetry. The program HFBRAD (v1.00) Bennaceur, K. Mendeley https://doi.org/10.17632/4vzsg8tbr6.1	dataset	January 2019
Axially deformed solution of the Skyrme-Hartree–Fock–Bogoliubov equations using the transformed harmonic oscillator basis (II) hfbtho v2.00d: A new version of the program Stoitsov, M. V. Mendeley https://doi.org/10.17632/f8n37xtbmg	dataset	January 2019
Solution of the Skyrme–HF+BCS equation on a 3D mesh, II: A new version of the Ev8 code Ryssens, W. Mendeley https://doi.org/10.17632/pbv7bz59rj	dataset	January 2019
Relativistic Hartree-Bogoliubov theory in coordinate space: Finite element solution for a nuclear system with spherical symmetry Po¨schl, W.; Vretenar, D.; Ring, P. Computer Physics Communications, Vol. 103, Issue 2-3 https://doi.org/10.1016/s0010-4655(97)00042-8	journal	July 1997
Pairing correlations. II. Microscopic analysis of odd-even mass staggering in nuclei Duguet, T.; Bonche, P.; Heenen, P. -H. Physical Review C, Vol. 65, Issue 1 https://doi.org/10.1103/physrevc.65.014311	journal	December 2001
Formulation of functional theory for pairing with particle number restoration Hupin, Guillaume; Lacroix, Denis; Bender, Michael Physical Review C, Vol. 84, Issue 1 https://doi.org/10.1103/physrevc.84.014309	journal	July 2011
Toward ab initio density functional theory for nuclei R. J., Furnstahl,; L., Platter,; J. E., Drut, The University of North Carolina at Chapel Hill University Libraries https://doi.org/10.17615/kne2-4e34	text	January 2010
Density functional theory and Kohn-Sham scheme for self-bound systems Messud, J.; Bender, M.; Suraud, E. arXiv https://doi.org/10.48550/arxiv.0904.0162	text	January 2009
Microscopically-based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization Stoitsov, M.; Kortelainen, M.; Bogner, S. K. arXiv https://doi.org/10.48550/arxiv.1009.3452	text	January 2010
Testing the density matrix expansion against ab initio calculations of trapped neutron drops Bogner, S. K.; Furnstahl, R. J.; Hergert, H. arXiv https://doi.org/10.48550/arxiv.1106.3557	text	January 2011
Electric dipole polarizability and the neutron skin Piekarewicz, J.; Agrawal, B. K.; Colo, G. arXiv https://doi.org/10.48550/arxiv.1201.3807	text	January 2012
Universal properties of infrared oscillator basis extrapolations More, S. N.; Ekstrom, A.; Furnstahl, R. J. arXiv https://doi.org/10.48550/arxiv.1302.3815	text	January 2013
Microscopic Description of Induced Fission Schunck, N. arXiv https://doi.org/10.48550/arxiv.1302.5718	text	January 2013
An optimized chiral nucleon-nucleon interaction at next-to-next-to-leading order Ekström, A.; Baardsen, G.; Forssén, C. arXiv https://doi.org/10.48550/arxiv.1303.4674	text	January 2013
Description of Induced Nuclear Fission with Skyrme Energy Functionals: I. Static Potential Energy Surfaces and Fission Fragment Properties Schunck, N.; Duke, D.; Carr, H. arXiv https://doi.org/10.48550/arxiv.1311.2616	text	January 2013
Bayesian Error Estimation in Density Functional Theory Mortensen, J. J.; Kaasbjerg, K.; Frederiksen, S. L. arXiv https://doi.org/10.48550/arxiv.cond-mat/0506225	text	January 2005
Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (IV) HFODD (v2.07f): a new version of the program Dobaczewski, J.; Olbratowski, P. arXiv https://doi.org/10.48550/arxiv.nucl-th/0401006	text	January 2004
Solution of the Skyrme-Hartree-Fock equations in the Cartesian deformed harmonic oscillator basis. (I) The method Dobaczewski, J.; Dudek, J. arXiv https://doi.org/10.48550/arxiv.nucl-th/9611035	text	January 1996

Cited By (5)

r -process nucleosynthesis: connecting rare-isotope beam facilities with the cosmos Horowitz, C. J.; Arcones, A.; Côté, B. Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 8 https://doi.org/10.1088/1361-6471/ab0849	journal	July 2019
“Sloppy” nuclear energy density functionals: Effective model reduction Nikšić, Tamara; Vretenar, Dario Physical Review C, Vol. 94, Issue 2 https://doi.org/10.1103/physrevc.94.024333	journal	August 2016
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
Bayesian approach to model-based extrapolation of nuclear observables Neufcourt, Léo; Cao, Yuchen; Nazarewicz, Witold arXiv https://doi.org/10.48550/arxiv.1806.00552	text	January 2018

Similar Records

Uncertainty quantification for nuclear density functional theory and information content of new measurements

Journal Article · Tue Mar 24 00:00:00 EDT 2015 · Physical Review Letters · OSTI ID:1169875

McDonnell, J. D.; Schunck, N.; Higdon, D.; +3 more

Uncertainty quantification and propagation in nuclear density functional theory

Journal Article · Wed Dec 23 00:00:00 EST 2015 · European Physical Journal. A · OSTI ID:1169875

Schunck, N.; McDonnell, J. D.; Higdon, D.; +2 more