Microscopically based energy density functionals for nuclei using the density matrix expansion. II. Full optimization and validation

Navarro Perez, R.; Schunck, N.; Dyhdalo, A.; Furnstahl, R. J.; Bogner, S. K.

doi:10.1103/PhysRevC.97.054304

Title: Microscopically based energy density functionals for nuclei using the density matrix expansion. II. Full optimization and validation

Abstract

Background: Energy density functional methods provide a generic framework to compute properties of atomic nuclei starting from models of nuclear potentials and the rules of quantum mechanics. Until now, the overwhelming majority of functionals have been constructed either from empirical nuclear potentials such as the Skyrme or Gogny forces, or from systematic gradient-like expansions in the spirit of the density functional theory for atoms. Purpose: In this study, we seek to obtain a usable form of the nuclear energy density functional that is rooted in the modern theory of nuclear forces. We thus consider a functional obtained from the density matrix expansion of local nuclear potentials from chiral effective field theory. We propose a parametrization of this functional carefully calibrated and validated on selected ground-state properties that is suitable for large-scale calculations of nuclear properties. Methods: Our energy functional comprises two main components. The first component is a non-local functional of the density and corresponds to the direct part (Hartree term) of the expectation value of local chiral potentials on a Slater determinant. Contributions to the mean field and the energy of this term are computed by expanding the spatial, finite-range components of the chiral potential onto Gaussian functions. Themore »« less

Authors:

Navarro Perez, R. ^[1]; Schunck, N. ^[2]; Dyhdalo, A. ^[3]; Furnstahl, R. J. ^[3]; Bogner, S. K. ^[4]

Ohio Univ., Athens, OH (United States). Institute of Nuclear and Particle Physics and Department of Physics and Astronomy
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Nuclear and Chemical Sciences Division
The Ohio State Univ., Columbus, OH (United States). Department of Physics
Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy

Publication Date:: Wed May 02 00:00:00 EDT 2018

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

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1458672

Alternate Identifier(s):: OSTI ID: 1435680

Report Number(s):: LLNL-JRNL-745116
Journal ID: ISSN 2469-9985; PRVCAN; 900506; TRN: US1901500

Grant/Contract Number:: AC52-07NA27344; FG02-93ER40756; SC0008533; RC107839-OSU

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 97; Journal Issue: 5; Journal ID: ISSN 2469-9985

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Navarro Perez, R., Schunck, N., Dyhdalo, A., Furnstahl, R. J., and Bogner, S. K. Microscopically based energy density functionals for nuclei using the density matrix expansion. II. Full optimization and validation.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevC.97.054304.

Copy to clipboard


                    Navarro Perez, R., Schunck, N., Dyhdalo, A., Furnstahl, R. J., & Bogner, S. K. Microscopically based energy density functionals for nuclei using the density matrix expansion. II. Full optimization and validation.  United States.  https://doi.org/10.1103/PhysRevC.97.054304

Copy to clipboard


                    Navarro Perez, R., Schunck, N., Dyhdalo, A., Furnstahl, R. J., and Bogner, S. K. Wed .  
"Microscopically based energy density functionals for nuclei using the density matrix expansion. II. Full optimization and validation".  United States.  https://doi.org/10.1103/PhysRevC.97.054304.  https://www.osti.gov/servlets/purl/1458672.

Copy to clipboard


                    
@article{osti_1458672,

  title        = {Microscopically based energy density functionals for nuclei using the density matrix expansion. II. Full optimization and validation},

  author       = {Navarro Perez, R. and Schunck, N. and Dyhdalo, A. and Furnstahl, R. J. and Bogner, S. K.},

  abstractNote = {Background: Energy density functional methods provide a generic framework to compute properties of atomic nuclei starting from models of nuclear potentials and the rules of quantum mechanics. Until now, the overwhelming majority of functionals have been constructed either from empirical nuclear potentials such as the Skyrme or Gogny forces, or from systematic gradient-like expansions in the spirit of the density functional theory for atoms. Purpose: In this study, we seek to obtain a usable form of the nuclear energy density functional that is rooted in the modern theory of nuclear forces. We thus consider a functional obtained from the density matrix expansion of local nuclear potentials from chiral effective field theory. We propose a parametrization of this functional carefully calibrated and validated on selected ground-state properties that is suitable for large-scale calculations of nuclear properties. Methods: Our energy functional comprises two main components. The first component is a non-local functional of the density and corresponds to the direct part (Hartree term) of the expectation value of local chiral potentials on a Slater determinant. Contributions to the mean field and the energy of this term are computed by expanding the spatial, finite-range components of the chiral potential onto Gaussian functions. The second component is a local functional of the density and is obtained by applying the density matrix expansion to the exchange part (Fock term) of the expectation value of the local chiral potential. We apply the UNEDF2 optimization protocol to determine the coupling constants of this energy functional. Results: We obtain a set of microscopically constrained functionals for local chiral potentials from leading order up to next-to-next-to-leading order with and without three-body forces and contributions from Δ excitations. These functionals are validated on the calculation of nuclear and neutron matter, nuclear mass tables, single-particle shell structure in closed-shell nuclei, and the fission barrier of 240Pu . Quantitatively, they perform noticeably better than the more phenomenological Skyrme functionals. Conclusions: The inclusion of higher-order terms in the chiral perturbation expansion seems to produce a systematic improvement in predicting nuclear binding energies while the impact on other observables is not really significant. In conclusion, this result is especially promising since all the fits have been performed at the single-reference level of the energy density functional approach, where important collective correlations such as center-of-mass correction, rotational correction, or zero-point vibrational energies have not been taken into account yet.},

  doi          = {10.1103/PhysRevC.97.054304},

  journal      = {Physical Review C},

  number       = 5,

  volume       = 97,

  place        = {United States},

  year         = {Wed May 02 00:00:00 EDT 2018},

  month        = {Wed May 02 00:00:00 EDT 2018}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1103/PhysRevC.97.054304

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 28 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

On the Gaussian overlap approximation for the collective excitations of odd nuclei
journal, January 2015

Rohoziński, Stanisław G.
Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 2
DOI: 10.1088/0954-3899/42/2/025109

The Negele–Vautherin density-matrix expansion applied to the Gogny force
journal, May 2010

Dobaczewski, J.; Carlsson, B. G.; Kortelainen, M.
Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 7
DOI: 10.1088/0954-3899/37/7/075106

Barcelona-Catania-Paris-Madrid functional with a realistic effective mass
journal, January 2017

Baldo, M.; Robledo, L. M.; Schuck, P.
Physical Review C, Vol. 95, Issue 1
DOI: 10.1103/PhysRevC.95.014318

Ab initio no core shell model
journal, March 2013

Barrett, Bruce R.; Navrátil, Petr; Vary, James P.
Progress in Particle and Nuclear Physics, Vol. 69
DOI: 10.1016/j.ppnp.2012.10.003

Microscopically based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
journal, November 2010

Stoitsov, M.; Kortelainen, M.; Bogner, S. K.
Physical Review C, Vol. 82, Issue 5
DOI: 10.1103/PhysRevC.82.054307

Lipkin method of particle-number restoration to higher orders
journal, July 2014

Wang, X. B.; Dobaczewski, J.; Kortelainen, M.
Physical Review C, Vol. 90, Issue 1
DOI: 10.1103/PhysRevC.90.014312

Isovector properties of the Gogny interaction
journal, November 2014

Sellahewa, Roshan; Rios, Arnau
Physical Review C, Vol. 90, Issue 5
DOI: 10.1103/PhysRevC.90.054327

Nuclear energy density optimization: Shell structure
journal, May 2014

Kortelainen, M.; McDonnell, J.; Nazarewicz, W.
Physical Review C, Vol. 89, Issue 5
DOI: 10.1103/PhysRevC.89.054314

Gaussian matrix elements in a cylindrical harmonic oscillator basis
journal, July 2009

Younes, W.
Computer Physics Communications, Vol. 180, Issue 7
DOI: 10.1016/j.cpc.2008.12.021

Surface symmetry energy of nuclear energy density functionals
journal, March 2011

Nikolov, N.; Schunck, N.; Nazarewicz, W.
Physical Review C, Vol. 83, Issue 3
DOI: 10.1103/PhysRevC.83.034305

Renormalization of chiral two-pion exchange $NN$ interactions with Δ excitations: Central phases and the deuteron
journal, April 2009

Valderrama, M. Pavón; Arriola, E. Ruiz
Physical Review C, Vol. 79, Issue 4
DOI: 10.1103/PhysRevC.79.044001

Particle-number restoration within the energy density functional formalism: Nonviability of terms depending on noninteger powers of the density matrices
journal, April 2009

Duguet, T.; Bender, M.; Bennaceur, K.
Physical Review C, Vol. 79, Issue 4
DOI: 10.1103/PhysRevC.79.044320

Odd nuclei and single-particle spectra in the relativistic mean-field model
journal, May 1998

Rutz, K.; Bender, M.; Reinhard, P. -G.
Nuclear Physics A, Vol. 634, Issue 1-2
DOI: 10.1016/S0375-9474(98)00153-5

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

Ekström, A.; Baardsen, G.; Forssén, C.
Physical Review Letters, Vol. 110, Issue 19
DOI: 10.1103/PhysRevLett.110.192502

Nonlocal energy density functionals for low-energy nuclear structure
journal, March 2014

Raimondi, F.; Bennaceur, K.; Dobaczewski, J.
Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 5
DOI: 10.1088/0954-3899/41/5/055112

Pion–nucleon scattering inside the Mandelstam triangle
journal, March 2000

Büttiker, Paul; Meißner, Ulf-G.
Nuclear Physics A, Vol. 668, Issue 1-4
DOI: 10.1016/S0375-9474(99)00813-1

The AME2016 atomic mass evaluation (II). Tables, graphs and references
journal, March 2017

Wang, Meng; Audi, G.; Kondev, F. G.
Chinese Physics C, Vol. 41, Issue 3
DOI: 10.1088/1674-1137/41/3/030003

The AME2016 atomic mass evaluation (I). Evaluation of input data; and adjustment procedures
journal, March 2017

Huang, W. J.; Audi, G.; Wang, Meng
Chinese Physics C, Vol. 41, Issue 3
DOI: 10.1088/1674-1137/41/3/030002

Local nuclear energy density functional at next-to-next-to-next-to-leading order
journal, October 2008

Carlsson, B. G.; Dobaczewski, J.; Kortelainen, M.
Physical Review C, Vol. 78, Issue 4
DOI: 10.1103/PhysRevC.78.044326

Gaussian overlap approximation for the quadrupole collective states
journal, July 2012

Rohoziński, Stanisław G.
Journal of Physics G: Nuclear and Particle Physics, Vol. 39, Issue 9
DOI: 10.1088/0954-3899/39/9/095104

Solution of the Skyrme–Hartree–Fock–Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis.
journal, November 2009

Dobaczewski, J.; Satuła, W.; Carlsson, B. G.
Computer Physics Communications, Vol. 180, Issue 11
DOI: 10.1016/j.cpc.2009.08.009

Renormalization of the $NN$ interaction with a chiral two-pion-exchange potential: Central phases and the deuteron
journal, November 2006

Pavón Valderrama, M.; Arriola, E. Ruiz
Physical Review C, Vol. 74, Issue 5
DOI: 10.1103/PhysRevC.74.054001

Nuclear Fission: from more phenomenology and adjusted parameters to more fundamental theory and increased predictive power
journal, January 2017

Bulgac, Aurel; Jin, Shi; Magierski, Piotr
EPJ Web of Conferences, Vol. 163
DOI: 10.1051/epjconf/201716300007

Precision Nucleon-Nucleon Potential at Fifth Order in the Chiral Expansion
journal, September 2015

Epelbaum, E.; Krebs, H.; Meißner, U. -G.
Physical Review Letters, Vol. 115, Issue 12
DOI: 10.1103/PhysRevLett.115.122301

Continuity equation and local gauge invariance for the N $^{3}$ LO nuclear energy density functionals
journal, December 2011

Raimondi, F.; Carlsson, B. G.; Dobaczewski, J.
Physical Review C, Vol. 84, Issue 6
DOI: 10.1103/PhysRevC.84.064303

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

Klüpfel, P.; Reinhard, P. -G.; Bürvenich, T. J.
Physical Review C, Vol. 79, Issue 3
DOI: 10.1103/PhysRevC.79.034310

Axially deformed solution of the Skyrme–Hartree–Fock–Bogolyubov equations using the transformed harmonic oscillator basis (III) hfbtho (v3.00): A new version of the program
journal, November 2017

Perez, R. Navarro; Schunck, N.; Lasseri, R. -D.
Computer Physics Communications, Vol. 220
DOI: 10.1016/j.cpc.2017.06.022

Microscopic justification of the equal filling approximation
journal, July 2008

Perez-Martin, Sara; Robledo, L. M.
Physical Review C, Vol. 78, Issue 1
DOI: 10.1103/PhysRevC.78.014304

Polarization corrections to single-particle energies studied within the energy-density-functional and quasiparticle random-phase approximation approaches
journal, January 2014

Tarpanov, D.; Toivanen, J.; Dobaczewski, J.
Physical Review C, Vol. 89, Issue 1
DOI: 10.1103/PhysRevC.89.014307

A note on the validity of the density matrix expansion
journal, November 1975

Sprung, D. W. L.; Vallieres, M.; Campi, X.
Nuclear Physics A, Vol. 253, Issue 1
DOI: 10.1016/0375-9474(75)90117-7

Variation after particle-number projection for the Hartree-Fock-Bogoliubov method with the Skyrme energy density functional
journal, July 2007

Stoitsov, M. V.; Dobaczewski, J.; Kirchner, R.
Physical Review C, Vol. 76, Issue 1
DOI: 10.1103/PhysRevC.76.014308

Local chiral potentials with $Δ$ -intermediate states and the structure of light nuclei
journal, November 2016

Piarulli, M.; Girlanda, L.; Schiavilla, R.
Physical Review C, Vol. 94, Issue 5
DOI: 10.1103/PhysRevC.94.054007

Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions
journal, February 2011

Gebremariam, B.; Bogner, S. K.; Duguet, T.
Nuclear Physics A, Vol. 851, Issue 1
DOI: 10.1016/j.nuclphysa.2010.12.009

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
DOI: 10.1103/PhysRevC.68.041001

Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
journal, January 2010

Delaroche, J. -P.; Girod, M.; Libert, J.
Physical Review C, Vol. 81, Issue 1
DOI: 10.1103/PhysRevC.81.014303

Minimal nuclear energy density functional
journal, April 2018

Bulgac, Aurel; Forbes, Michael McNeil; Jin, Shi
Physical Review C, Vol. 97, Issue 4
DOI: 10.1103/PhysRevC.97.044313

Coupled-cluster computations of atomic nuclei
journal, September 2014

Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M.
Reports on Progress in Physics, Vol. 77, Issue 9
DOI: 10.1088/0034-4885/77/9/096302

Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using the N2LO Skyrme pseudopotential in spherical symmetry
journal, October 2017

Becker, P.; Davesne, D.; Meyer, J.
Physical Review C, Vol. 96, Issue 4
DOI: 10.1103/PhysRevC.96.044330

Table of experimental nuclear ground state charge radii: An update
journal, January 2013

Angeli, I.; Marinova, K. P.
Atomic Data and Nuclear Data Tables, Vol. 99, Issue 1
DOI: 10.1016/j.adt.2011.12.006

Global study of quadrupole correlation effects
journal, March 2006

Bender, M.; Bertsch, G. F.; Heenen, P. -H.
Physical Review C, Vol. 73, Issue 3
DOI: 10.1103/PhysRevC.73.034322

Kohn–Sham density functional inspired approach to nuclear binding
journal, June 2008

Baldo, M.; Schuck, P.; Viñas, X.
Physics Letters B, Vol. 663, Issue 5
DOI: 10.1016/j.physletb.2008.04.013

Nuclear matter properties from local chiral interactions with $Δ$ isobar intermediate states
journal, December 2016

Logoteta, Domenico; Bombaci, Ignazio; Kievsky, Alejandro
Physical Review C, Vol. 94, Issue 6
DOI: 10.1103/PhysRevC.94.064001

Particle-number restoration within the energy density functional formalism
journal, April 2009

Bender, M.; Duguet, T.; Lacroix, D.
Physical Review C, Vol. 79, Issue 4
DOI: 10.1103/PhysRevC.79.044319

Configuration mixing within the energy density functional formalism: Removing spurious contributions from nondiagonal energy kernels
journal, April 2009

Lacroix, D.; Duguet, T.; Bender, M.
Physical Review C, Vol. 79, Issue 4
DOI: 10.1103/PhysRevC.79.044318

Pairing correlations. I. Description of odd nuclei in mean-field theories
journal, December 2001

Duguet, T.; Bonche, P.; Heenen, P. -H.
Physical Review C, Vol. 65, Issue 1
DOI: 10.1103/PhysRevC.65.014310

Pairing correlations. II. Microscopic analysis of odd-even mass staggering in nuclei
journal, December 2001

Duguet, T.; Bonche, P.; Heenen, P. -H.
Physical Review C, Vol. 65, Issue 1
DOI: 10.1103/PhysRevC.65.014311

Effect of particle-vibration coupling on single-particle states: A consistent study within the Skyrme framework
journal, December 2010

Colò, Gianluca; Sagawa, Hiroyuki; Bortignon, Pier Francesco
Physical Review C, Vol. 82, Issue 6
DOI: 10.1103/PhysRevC.82.064307

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

Piarulli, M.; Girlanda, L.; Schiavilla, R.
Physical Review C, Vol. 91, Issue 2
DOI: 10.1103/PhysRevC.91.024003

Nuclear energy density optimization: Large deformations
journal, February 2012

Kortelainen, M.; McDonnell, J.; Nazarewicz, W.
Physical Review C, Vol. 85, Issue 2
DOI: 10.1103/PhysRevC.85.024304

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

Chiral EFT based nuclear forces: achievements and challenges
journal, July 2016

Machleidt, R.; Sammarruca, F.
Physica Scripta, Vol. 91, Issue 8
DOI: 10.1088/0031-8949/91/8/083007

Hartree-Fock-Bogoliubov nuclear mass model with 0.50 MeV accuracy based on standard forms of Skyrme and pairing functionals
journal, December 2013

Goriely, S.; Chamel, N.; Pearson, J. M.
Physical Review C, Vol. 88, Issue 6
DOI: 10.1103/PhysRevC.88.061302

Renormalization of chiral two-pion exchange $NN$ interactions with $Δ$ excitations: Correlations in the partial-wave expansion
journal, April 2011

Pavon Valderrama, M.; Ruiz Arriola, E.
Physical Review C, Vol. 83, Issue 4
DOI: 10.1103/PhysRevC.83.044002

Non-empirical pairing energy functional in nuclear matter and finite nuclei
journal, October 2009

Hebeler, K.; Duguet, T.; Lesinski, T.
Physical Review C, Vol. 80, Issue 4
DOI: 10.1103/PhysRevC.80.044321

Determination of the chiral coupling constants $c_{3}$ and $c_{4}$ in new $pp$ and $np$ partial-wave analyses
journal, April 2003

Rentmeester, M. C. M.; Timmermans, R. G. E.; de Swart, J. J.
Physical Review C, Vol. 67, Issue 4
DOI: 10.1103/PhysRevC.67.044001

Pairing gap and polarisation effects
journal, November 1999

Rutz, K.; Bender, M.; Reinhard, P. -G.
Physics Letters B, Vol. 468, Issue 1-2
DOI: 10.1016/S0370-2693(99)01190-9

Solution of self-consistent equations for the N3LO nuclear energy density functional in spherical symmetry. The program hosphe (v1.02)
journal, September 2010

Carlsson, B. G.; Dobaczewski, J.; Toivanen, J.
Computer Physics Communications, Vol. 181, Issue 9
DOI: 10.1016/j.cpc.2010.05.022

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
journal, June 2013

Stoitsov, M. V.; Schunck, N.; Kortelainen, M.
Computer Physics Communications, Vol. 184, Issue 6
DOI: 10.1016/j.cpc.2013.01.013

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

Negele, J. W.; Vautherin, D.
Physical Review C, Vol. 5, Issue 5
DOI: 10.1103/PhysRevC.5.1472

Applying the density matrix expansion with coordinate-space chiral interactions
journal, May 2017

Dyhdalo, A.; Bogner, S. K.; Furnstahl, R. J.
Physical Review C, Vol. 95, Issue 5
DOI: 10.1103/PhysRevC.95.054314

Isospin effects in N ≈ Z nuclei in extended density functional theory
journal, January 2016

Satuła, Wojciech; Nazarewicz, Witold
Physica Scripta, Vol. 91, Issue 2
DOI: 10.1088/0031-8949/91/2/023013

Nuclear energy density optimization
journal, August 2010

Kortelainen, M.; Lesinski, T.; Moré, J.
Physical Review C, Vol. 82, Issue 2
DOI: 10.1103/PhysRevC.82.024313

Density-matrix expansion for an effective nuclear Hamiltonian. II
journal, March 1975

Negele, J. W.; Vautherin, D.
Physical Review C, Vol. 11, Issue 3
DOI: 10.1103/PhysRevC.11.1031

The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei
journal, March 2016

Hergert, H.; Bogner, S. K.; Morris, T. D.
Physics Reports, Vol. 621
DOI: 10.1016/j.physrep.2015.12.007

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

One-quasiparticle states in the nuclear energy density functional theory
journal, February 2010

Schunck, N.; Dobaczewski, J.; McDonnell, J.
Physical Review C, Vol. 81, Issue 2
DOI: 10.1103/PhysRevC.81.024316

Heavy-particle formalism with Foldy-Wouthuysen representation
journal, April 2011

Long, Bingwei; Lensky, Vadim
Physical Review C, Vol. 83, Issue 4
DOI: 10.1103/PhysRevC.83.045206

New Kohn-Sham density functional based on microscopic nuclear and neutron matter equations of state
journal, June 2013

Baldo, M.; Robledo, L. M.; Schuck, P.
Physical Review C, Vol. 87, Issue 6
DOI: 10.1103/PhysRevC.87.064305

Chiral Dynamics of Few- and Many-Nucleon Systems
journal, November 2012

Epelbaum, Evgeny; Meißner, Ulf-G.
Annual Review of Nuclear and Particle Science, Vol. 62, Issue 1
DOI: 10.1146/annurev-nucl-102010-130056

Improved density matrix expansion for spin-unsaturated nuclei
journal, July 2010

Gebremariam, B.; Duguet, T.; Bogner, S. K.
Physical Review C, Vol. 82, Issue 1
DOI: 10.1103/PhysRevC.82.014305

Accurate nuclear radii and binding energies from a chiral interaction
journal, May 2015

Ekström, A.; Jansen, G. R.; Wendt, K. A.
Physical Review C, Vol. 91, Issue 5
DOI: 10.1103/PhysRevC.91.051301

Uncertainty Analysis and Order-by-Order Optimization of Chiral Nuclear Interactions
journal, February 2016

Carlsson, B. D.; Ekström, A.; Forssén, C.
Physical Review X, Vol. 6, Issue 1
DOI: 10.1103/PhysRevX.6.011019

Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
journal, February 2016

Tews, I.; Gandolfi, S.; Gezerlis, A.
Physical Review C, Vol. 93, Issue 2
DOI: 10.1103/PhysRevC.93.024305

Quantum Monte Carlo methods for nuclear physics
journal, September 2015

Carlson, J.; Gandolfi, S.; Pederiva, F.
Reviews of Modern Physics, Vol. 87, Issue 3
DOI: 10.1103/RevModPhys.87.1067

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

Navarro Pérez, R.; Amaro, J. E.; Arriola, E. Ruiz
Physical Review C, Vol. 89, Issue 2
DOI: 10.1103/PhysRevC.89.024004

The Skyrme interaction in finite nuclei and nuclear matter
journal, April 2007

Stone, J. R.; Reinhard, P. -G.
Progress in Particle and Nuclear Physics, Vol. 58, Issue 2
DOI: 10.1016/j.ppnp.2006.07.001

Nuclear forces with Δ excitations up to next-to-next-to-leading order, part I: Peripheral nucleon-nucleon waves
journal, May 2007

Krebs, H.; Epelbaum, E.; Meißner, U. -G.
The European Physical Journal A, Vol. 32, Issue 2
DOI: 10.1140/epja/i2007-10372-y

Pairing gap and polarisation effects
text, January 1999

M., Bender,; K., Rutz,; G., Reinhard, P.
The University of North Carolina at Chapel Hill University Libraries
DOI: 10.17615/s3jh-pg35

Local nuclear energy density functional at next-to-next-to-next-to-leading order
text, January 2008

Carlsson, B. G.; Dobaczewski, J.; Kortelainen, M.
arXiv
DOI: 10.48550/arxiv.0807.4925

Non-empirical pairing energy functional in nuclear matter and finite nuclei
text, January 2009

Hebeler, K.; Duguet, T.; Lesinski, T.
arXiv
DOI: 10.48550/arxiv.0904.3152

One-quasiparticle States in the Nuclear Energy Density Functional Theory
text, January 2009

Schunck, N.; Dobaczewski, J.; McDonnell, J.
arXiv
DOI: 10.48550/arxiv.0910.2164

Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
text, January 2009

Delaroche, J. P.; Girod, M.; Libert, J.
arXiv
DOI: 10.48550/arxiv.0910.2940

Microscopically-based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
text, January 2010

Stoitsov, M.; Kortelainen, M.; Bogner, S. K.
arXiv
DOI: 10.48550/arxiv.1009.3452

Axially deformed solution of the Skyrme-Hartree-Fock-Bogolyubov equations using the transformed harmonic oscillator basis (II) HFBTHO v2.00d: a new version of the program
text, January 2012

Stoitsov, M. V.; Schunck, N.; Kortelainen, M.
arXiv
DOI: 10.48550/arxiv.1210.1825

Coupled-cluster computations of atomic nuclei
text, January 2013

Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M.
arXiv
DOI: 10.48550/arxiv.1312.7872

Lipkin method of particle-number restoration to higher orders
text, January 2014

Wang, X. B.; Dobaczewski, J.; Kortelainen, M.
arXiv
DOI: 10.48550/arxiv.1403.6364

Isovector properties of the Gogny interaction
text, January 2014

Sellahewa, R.; Rios, A.
arXiv
DOI: 10.48550/arxiv.1407.8138

Precision nucleon-nucleon potential at fifth order in the chiral expansion
text, January 2014

Epelbaum, E.; Krebs, H.; Meißner, U. -G.
arXiv
DOI: 10.48550/arxiv.1412.4623

Isospin effects in N~Z nuclei in extended Density Functional Theory
text, January 2015

Satula, Wojciech; Nazarewicz, Witold
arXiv
DOI: 10.48550/arxiv.1510.03251

The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
text, January 2015

Hergert, H.; Bogner, S. K.; Morris, T. D.
arXiv
DOI: 10.48550/arxiv.1512.06956

The Barcelona-Catania-Paris-Madrid functional with a realistic effective mass
text, January 2016

Baldo, M.; Robledo, L. M.; Schuck, P.
arXiv
DOI: 10.48550/arxiv.1604.01543

Nuclear matter properties from local chiral interactions with $Δ$ isobar intermediate states
text, January 2016

Logoteta, Domenico; Bombaci, Ignazio; Kievsky, Alejandro
arXiv
DOI: 10.48550/arxiv.1609.00649

Axially deformed solution of the Skyrme-Hartree-Fock-Bogolyubov equations using the transformed harmonic oscillator basis (III) hfbtho (v3.00): a new version of the program
text, January 2017

Perez, R. Navarro; Schunck, N.; Lasseri, R. -D.
arXiv
DOI: 10.48550/arxiv.1704.03945

A Minimal Nuclear Energy Density Functional
text, January 2017

Bulgac, Aurel; Forbes, Michael McNeil; Jin, Shi
arXiv
DOI: 10.48550/arxiv.1708.08771

Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
text, January 2003

Entem, D. R.; Machleidt, R.
arXiv
DOI: 10.48550/arxiv.nucl-th/0304018

Renormalization of NN Interaction with Chiral Two Pion Exchange Potential. Central Phases and the Deuteron
text, January 2005

Valderrama, M. Pavon; Arriola, E. Ruiz
arXiv
DOI: 10.48550/arxiv.nucl-th/0506047

Global study of quadrupole correlation effects
text, January 2005

Bender, M.; Bertsch, G. F.; Heenen, P. -H.
arXiv
DOI: 10.48550/arxiv.nucl-th/0508052

The Skyrme Interaction in finite nuclei and nuclear matter
text, January 2006

Stone, J. R.; Reinhard, P. -G.
arXiv
DOI: 10.48550/arxiv.nucl-th/0607002

Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
text, January 2007

Krebs, Hermann; Epelbaum, Evgeny; Meißner, Ulf-G.
arXiv
DOI: 10.48550/arxiv.nucl-th/0703087

Works referencing / citing this record:

Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory
journal, August 2019

Boulet, Antoine; Lacroix, Denis
Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 10
DOI: 10.1088/1361-6471/ab2f0b

First step in the nuclear inverse Kohn-Sham problem: From densities to potentials
journal, February 2020

Accorto, G.; Brandolini, P.; Marino, F.
Physical Review C, Vol. 101, Issue 2
DOI: 10.1103/physrevc.101.024315

Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory
text, January 2019

Boulet, Antoine; Lacroix, Denis
arXiv
DOI: 10.48550/arxiv.1902.05477

Properties of exotic nuclei and their linkage to the nucleonic interaction
text, January 2019

Nakada, H.
arXiv
DOI: 10.48550/arxiv.1912.05756

Similar Records in DOE PAGES and OSTI.GOV collections:

The Negele-Vautherin Density Matrix Expansion Applied to the Gogny Force

Journal Article Dobaczewski, J. ; Carlsson, B. G. ; Kortelainen, Erno M - Journal of Physics G: Nuclear and Particle Physics

We use the Negele-Vautherin density matrix expansion to derive local density approximation for the interaction composed of arbitrary finite-range central, spin-orbit, and tensor components. Terms that are absent in the original Negele-Vautherin approach owing to the angle averaging of the density matrix are fixed by requiring gauge invariance of the energy density. We obtain the Kohn-Sham interaction energies in all spin-isospin channels, including the exchange terms, expressed as functions of the local densities and their derivatives up to second (next to leading) order. We illustrate the method by determining the coupling constants of the Skyrme functional or Skyrme force thatmore »« less
https://doi.org/10.1088/0954-3899/37/7/075106
Nuclear energy density optimization: Shell structure

Journal Article Kortelainen, M. ; McDonnell, J. ; Nazarewicz, W. ; ... - Physical Review. C. Nuclear Physics

Nuclear density functional theory is the only microscopical theory that can be applied throughout the entire nuclear landscape. Its key ingredient is the energy density functional. Here, we propose a new parametrization UNEDF2 of the Skyrme energy density functional. The functional optimization is carried out using the POUNDERS optimization algorithm within the framework of the Skyrme Hartree-Fock-Bogoliubov theory. Compared to the previous parametrization UNEDF1, restrictions on the tensor term of the energy density have been lifted, yielding a very general form of the energy density functional up to second order in derivatives of the one-body density matrix. In order tomore »« less
Cited by 155
https://doi.org/10.1103/physrevc.89.054314

Full Text Available
Isospin-invariant Skyrme energy-density-functional approach with axial symmetry

Journal Article Sheikh, J. A. ; Hinohara, N. ; Dobaczewski, J. ; ... - Physical Review. C. Nuclear Physics

Density functional theory (DFT) is the microscopic tool of choice to describe properties of nuclei over the entire nuclear landscape, with a focus on medium-mass and heavy complex systems. Modern energy density functionals (EDFs) often offer a level of accuracy typical of phenomenological approaches based on parameters locally fitted to the data. It is clear, however, that in order to achieve high quality of predictions to guide spectroscopic studies, current functionals must be improved, especially in the isospin channel. In this respect, experimental studies of short-lived nuclei far from stability offer a unique test of isospin aspects of the many-bodymore »« less
Cited by 16
https://doi.org/10.1103/physrevc.89.054317

Full Text Available
Microscopic Theory of Nuclear Fission: A Review

Journal Article Schunck, N. ; Robledo, L. M. - Reports on Progress in Physics

This paper reviews how nuclear fission is described within nuclear density functional theory. A distinction should be made between spontaneous fission, where half-lives are the main observables and quantum tunnelling the essential concept, and induced fission, where the focus is on fragment properties and explicitly time-dependent approaches are often invoked. Overall, the cornerstone of the density functional theory approach to fission is the energy density functional formalism. The basic tenets of this method, including some well-known tools such as the Hartree–Fock–Bogoliubov (HFB) theory, effective two-body nuclear potentials such as the Skyrme and Gogny force, finite-temperature extensions and beyond mean-field corrections,more »« less
Cited by 164
https://doi.org/10.1088/0034-4885/79/11/116301

Full Text Available
How Well Do We Know the Neutron-Matter Equation of State at the Densities Inside Neutron Stars? A Bayesian Approach with Correlated Uncertainties

Journal Article Drischler, C. ; Furnstahl, R. J. ; Melendez, J. A. ; ... - Physical Review Letters

In this paper, we introduce a new framework for quantifying correlated uncertainties of the infinite-matter equation of state derived from chiral effective field theory (χEFT). Bayesian machine learning via Gaussian processes with physics-based hyperparameters allows us to efficiently quantify and propagate theoretical uncertainties of the equation of state, such as χEFT truncation errors, to derived quantities. We apply this framework to state-of-the-art many-body perturbation theory calculations with nucleon-nucleon and three-nucleon interactions up to fourth order in the χEFT expansion. This produces the first statistically robust uncertainty estimates for key quantities of neutron stars. We give results up to twice nuclearmore »« less
https://doi.org/10.1103/physrevlett.125.202702

Full Text Available

Similar Records

Title: Microscopically based energy density functionals for nuclei using the density matrix expansion. II. Full optimization and validation

Abstract

Citation Formats

On the Gaussian overlap approximation for the collective excitations of odd nuclei journal, January 2015

The Negele–Vautherin density-matrix expansion applied to the Gogny force journal, May 2010

Barcelona-Catania-Paris-Madrid functional with a realistic effective mass journal, January 2017

Ab initio no core shell model journal, March 2013

Microscopically based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization journal, November 2010

Lipkin method of particle-number restoration to higher orders journal, July 2014

Isovector properties of the Gogny interaction journal, November 2014

Nuclear energy density optimization: Shell structure journal, May 2014

Gaussian matrix elements in a cylindrical harmonic oscillator basis journal, July 2009

Surface symmetry energy of nuclear energy density functionals journal, March 2011

Renormalization of chiral two-pion exchange NN interactions with Δ excitations: Central phases and the deuteron journal, April 2009

Particle-number restoration within the energy density functional formalism: Nonviability of terms depending on noninteger powers of the density matrices journal, April 2009

Odd nuclei and single-particle spectra in the relativistic mean-field model journal, May 1998

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

Nonlocal energy density functionals for low-energy nuclear structure journal, March 2014

Pion–nucleon scattering inside the Mandelstam triangle journal, March 2000

The AME2016 atomic mass evaluation (II). Tables, graphs and references journal, March 2017

The AME2016 atomic mass evaluation (I). Evaluation of input data; and adjustment procedures journal, March 2017

Local nuclear energy density functional at next-to-next-to-next-to-leading order journal, October 2008

Gaussian overlap approximation for the quadrupole collective states journal, July 2012

Solution of the Skyrme–Hartree–Fock–Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. journal, November 2009

Renormalization of the NN interaction with a chiral two-pion-exchange potential: Central phases and the deuteron journal, November 2006

Nuclear Fission: from more phenomenology and adjusted parameters to more fundamental theory and increased predictive power journal, January 2017

Precision Nucleon-Nucleon Potential at Fifth Order in the Chiral Expansion journal, September 2015

Continuity equation and local gauge invariance for the N 3 LO nuclear energy density functionals journal, December 2011

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

Axially deformed solution of the Skyrme–Hartree–Fock–Bogolyubov equations using the transformed harmonic oscillator basis (III) hfbtho (v3.00): A new version of the program journal, November 2017

Microscopic justification of the equal filling approximation journal, July 2008

Polarization corrections to single-particle energies studied within the energy-density-functional and quasiparticle random-phase approximation approaches journal, January 2014

A note on the validity of the density matrix expansion journal, November 1975

Variation after particle-number projection for the Hartree-Fock-Bogoliubov method with the Skyrme energy density functional journal, July 2007

Local chiral potentials with Δ -intermediate states and the structure of light nuclei journal, November 2016

Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions journal, February 2011

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

Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction journal, January 2010

Minimal nuclear energy density functional journal, April 2018

Coupled-cluster computations of atomic nuclei journal, September 2014

Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using the N2LO Skyrme pseudopotential in spherical symmetry journal, October 2017

Table of experimental nuclear ground state charge radii: An update journal, January 2013

Global study of quadrupole correlation effects journal, March 2006

Kohn–Sham density functional inspired approach to nuclear binding journal, June 2008

Nuclear matter properties from local chiral interactions with Δ isobar intermediate states journal, December 2016

Particle-number restoration within the energy density functional formalism journal, April 2009

Configuration mixing within the energy density functional formalism: Removing spurious contributions from nondiagonal energy kernels journal, April 2009

Pairing correlations. I. Description of odd nuclei in mean-field theories journal, December 2001

Pairing correlations. II. Microscopic analysis of odd-even mass staggering in nuclei journal, December 2001

Effect of particle-vibration coupling on single-particle states: A consistent study within the Skyrme framework journal, December 2010

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

Nuclear energy density optimization: Large deformations journal, February 2012

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

Chiral EFT based nuclear forces: achievements and challenges journal, July 2016

Hartree-Fock-Bogoliubov nuclear mass model with 0.50 MeV accuracy based on standard forms of Skyrme and pairing functionals journal, December 2013

Renormalization of chiral two-pion exchange NN interactions with Δ excitations: Correlations in the partial-wave expansion journal, April 2011

Non-empirical pairing energy functional in nuclear matter and finite nuclei journal, October 2009

Determination of the chiral coupling constants c 3 and c 4 in new pp and np partial-wave analyses journal, April 2003

Pairing gap and polarisation effects journal, November 1999

Solution of self-consistent equations for the N3LO nuclear energy density functional in spherical symmetry. The program hosphe (v1.02) 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 journal, June 2013

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

Applying the density matrix expansion with coordinate-space chiral interactions journal, May 2017

Isospin effects in N ≈ Z nuclei in extended density functional theory journal, January 2016

Nuclear energy density optimization journal, August 2010

Density-matrix expansion for an effective nuclear Hamiltonian. II journal, March 1975

The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei journal, March 2016

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

One-quasiparticle states in the nuclear energy density functional theory journal, February 2010

Heavy-particle formalism with Foldy-Wouthuysen representation journal, April 2011

New Kohn-Sham density functional based on microscopic nuclear and neutron matter equations of state journal, June 2013

Chiral Dynamics of Few- and Many-Nucleon Systems journal, November 2012

Improved density matrix expansion for spin-unsaturated nuclei journal, July 2010

Accurate nuclear radii and binding energies from a chiral interaction journal, May 2015

Uncertainty Analysis and Order-by-Order Optimization of Chiral Nuclear Interactions journal, February 2016

Quantum Monte Carlo calculations of neutron matter with chiral three-body forces journal, February 2016

Quantum Monte Carlo methods for nuclear physics journal, September 2015

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

The Skyrme interaction in finite nuclei and nuclear matter journal, April 2007

Nuclear forces with Δ excitations up to next-to-next-to-leading order, part I: Peripheral nucleon-nucleon waves journal, May 2007

On the Gaussian overlap approximation for the collective excitations of odd nuclei
journal, January 2015

The Negele–Vautherin density-matrix expansion applied to the Gogny force
journal, May 2010

Barcelona-Catania-Paris-Madrid functional with a realistic effective mass
journal, January 2017

Ab initio no core shell model
journal, March 2013

Microscopically based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
journal, November 2010

Lipkin method of particle-number restoration to higher orders
journal, July 2014

Isovector properties of the Gogny interaction
journal, November 2014

Nuclear energy density optimization: Shell structure
journal, May 2014

Gaussian matrix elements in a cylindrical harmonic oscillator basis
journal, July 2009

Surface symmetry energy of nuclear energy density functionals
journal, March 2011

Renormalization of chiral two-pion exchange $NN$ interactions with Δ excitations: Central phases and the deuteron
journal, April 2009

Particle-number restoration within the energy density functional formalism: Nonviability of terms depending on noninteger powers of the density matrices
journal, April 2009

Odd nuclei and single-particle spectra in the relativistic mean-field model
journal, May 1998

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

Nonlocal energy density functionals for low-energy nuclear structure
journal, March 2014

Pion–nucleon scattering inside the Mandelstam triangle
journal, March 2000

The AME2016 atomic mass evaluation (II). Tables, graphs and references
journal, March 2017

The AME2016 atomic mass evaluation (I). Evaluation of input data; and adjustment procedures
journal, March 2017

Local nuclear energy density functional at next-to-next-to-next-to-leading order
journal, October 2008

Gaussian overlap approximation for the quadrupole collective states
journal, July 2012

Solution of the Skyrme–Hartree–Fock–Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis.
journal, November 2009

Renormalization of the $NN$ interaction with a chiral two-pion-exchange potential: Central phases and the deuteron
journal, November 2006

Nuclear Fission: from more phenomenology and adjusted parameters to more fundamental theory and increased predictive power
journal, January 2017

Precision Nucleon-Nucleon Potential at Fifth Order in the Chiral Expansion
journal, September 2015

Continuity equation and local gauge invariance for the N $^{3}$ LO nuclear energy density functionals
journal, December 2011

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

Axially deformed solution of the Skyrme–Hartree–Fock–Bogolyubov equations using the transformed harmonic oscillator basis (III) hfbtho (v3.00): A new version of the program
journal, November 2017

Microscopic justification of the equal filling approximation
journal, July 2008

Polarization corrections to single-particle energies studied within the energy-density-functional and quasiparticle random-phase approximation approaches
journal, January 2014

A note on the validity of the density matrix expansion
journal, November 1975

Variation after particle-number projection for the Hartree-Fock-Bogoliubov method with the Skyrme energy density functional
journal, July 2007

Local chiral potentials with $Δ$ -intermediate states and the structure of light nuclei
journal, November 2016

Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions
journal, February 2011

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

Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
journal, January 2010

Minimal nuclear energy density functional
journal, April 2018

Coupled-cluster computations of atomic nuclei
journal, September 2014

Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using the N2LO Skyrme pseudopotential in spherical symmetry
journal, October 2017

Table of experimental nuclear ground state charge radii: An update
journal, January 2013

Global study of quadrupole correlation effects
journal, March 2006

Kohn–Sham density functional inspired approach to nuclear binding
journal, June 2008

Nuclear matter properties from local chiral interactions with $Δ$ isobar intermediate states
journal, December 2016

Particle-number restoration within the energy density functional formalism
journal, April 2009

Configuration mixing within the energy density functional formalism: Removing spurious contributions from nondiagonal energy kernels
journal, April 2009

Pairing correlations. I. Description of odd nuclei in mean-field theories
journal, December 2001

Pairing correlations. II. Microscopic analysis of odd-even mass staggering in nuclei
journal, December 2001

Effect of particle-vibration coupling on single-particle states: A consistent study within the Skyrme framework
journal, December 2010

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

Nuclear energy density optimization: Large deformations
journal, February 2012

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

Chiral EFT based nuclear forces: achievements and challenges
journal, July 2016

Hartree-Fock-Bogoliubov nuclear mass model with 0.50 MeV accuracy based on standard forms of Skyrme and pairing functionals
journal, December 2013

Renormalization of chiral two-pion exchange $NN$ interactions with $Δ$ excitations: Correlations in the partial-wave expansion
journal, April 2011

Non-empirical pairing energy functional in nuclear matter and finite nuclei
journal, October 2009

Determination of the chiral coupling constants $c_{3}$ and $c_{4}$ in new $pp$ and $np$ partial-wave analyses
journal, April 2003

Pairing gap and polarisation effects
journal, November 1999

Solution of self-consistent equations for the N3LO nuclear energy density functional in spherical symmetry. The program hosphe (v1.02)
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
journal, June 2013

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

Applying the density matrix expansion with coordinate-space chiral interactions
journal, May 2017

Isospin effects in N ≈ Z nuclei in extended density functional theory
journal, January 2016

Nuclear energy density optimization
journal, August 2010

Density-matrix expansion for an effective nuclear Hamiltonian. II
journal, March 1975

The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei
journal, March 2016

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

One-quasiparticle states in the nuclear energy density functional theory
journal, February 2010

Heavy-particle formalism with Foldy-Wouthuysen representation
journal, April 2011

New Kohn-Sham density functional based on microscopic nuclear and neutron matter equations of state
journal, June 2013

Chiral Dynamics of Few- and Many-Nucleon Systems
journal, November 2012

Improved density matrix expansion for spin-unsaturated nuclei
journal, July 2010

Accurate nuclear radii and binding energies from a chiral interaction
journal, May 2015

Uncertainty Analysis and Order-by-Order Optimization of Chiral Nuclear Interactions
journal, February 2016

Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
journal, February 2016

Quantum Monte Carlo methods for nuclear physics
journal, September 2015

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

The Skyrme interaction in finite nuclei and nuclear matter
journal, April 2007

Nuclear forces with Δ excitations up to next-to-next-to-leading order, part I: Peripheral nucleon-nucleon waves
journal, May 2007

Pairing gap and polarisation effects
text, January 1999

Local nuclear energy density functional at next-to-next-to-next-to-leading order
text, January 2008

Non-empirical pairing energy functional in nuclear matter and finite nuclei
text, January 2009