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

Title: Future of nuclear fission theory

Abstract

There has been much recent interest in nuclear fission, due in part to a new appreciation of its relevance to astrophysics, stability of superheavy elements, and fundamental theory of neutrino interactions. At the same time, there have been important developments on a conceptual and computational level for the theory. The promising new theoretical avenues were the subject of a workshop held at the University of York in October 2019; this report summarises its findings and recommendations.

Authors:
ORCiD logo [1];  [2];  [3]; ORCiD logo [4]; ORCiD logo [5];  [6]; ORCiD logo [7];  [8]; ORCiD logo [9];  [10];  [11];  [12]; ORCiD logo [7]; ORCiD logo [13];  [6];  [6]; ORCiD logo [14];  [6]; ORCiD logo [15]; ORCiD logo [16] more »; ORCiD logo [17];  [18];  [19]; ORCiD logo [20];  [21];  [22]; ORCiD logo [23]; ORCiD logo [24]; ORCiD logo [25]; ORCiD logo [26];  [27]; ORCiD logo [28];  [29] « less
  1. Univ. de Lyon, Univ. Claude Bernard Lyon 1, Villeurbanne (France). Centre National de la Recherche Scientifique (CNRS), Inst. national de physique nucléaire et de physique des particules (IN2P3)
  2. Australian National Univ., Canberra, ACT (Australia); Commissariat a l'Energie Atomique (CEA), Arpajon (France). DAM
  3. Univ. of Washington, Seattle, WA (United States). Inst. for Nuclear Theory
  4. Tokyo Inst. of Technology, Tokyo (Japan)
  5. Univ. of York (United Kingdom); Univ. of Helsinki (Finland). Helsinki Inst. of Physics; Univ. of Warsaw (Poland). Inst. of Theoretical Physics
  6. Commissariat a l'Energie Atomique (CEA), Arpajon (France). DAM; Univ. Paris-Saclay, Gif-sur-Yvette (France); Laboratoire Matière en Conditions Extrêmes, Bruyères-le-Châtel (France); Commissariat a l'Energie Atomique (CEA), Bruyères-le-Châtel (France)
  7. Michigan State Univ., East Lansing, MI (United States). FRIB Lab.
  8. Kyoto Univ., Kyoto (Japan)
  9. Univ. Paris-Saclay, Orsay (France). Centre National de la Recherche Scientifique (CNRS), Inst. national de physique nucléaire et de physique des particules (IN2P3)
  10. Southwest Univ., Chongqing (China)
  11. Warsaw Univ. of Technology, Warsaw (Poland)
  12. Goethe Univ., Frankfurt (Germany). Inst. für Theoretische Physik
  13. Peking Univ., Beijing (China)
  14. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  15. Univ. Erlangen-Nürnberg, Erlangen (Germany). Inst. für Theoretische Physik II
  16. Univ. Politécnica de Madrid, Madrid (Spain). Center for Computational Simulation; Univ. Autónoma de Madrid, Madrid (Spain)
  17. Yale Univ., New Haven, CT (United States). Sloane Physics Lab., Center for Theoretical Physics
  18. Variable Energy Cyclotron Centre, Kolkata (India); Homi Bhabha National Inst., Mumbai (India)
  19. Univ. Libre de Bruxelles, Brussels (Belgium). Inst. d'Astronomie et d'Astrophysique
  20. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  21. Australian National Univ., Canberra, ACT (Australia)
  22. National Center for Nuclear Research, Warsaw (Poland)
  23. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  24. Univ. of Surrey, Guildford (United Kingdom)
  25. Vanderbilt Univ., Nashville, TN (United States)
  26. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Univ. of Surrey, Guildford (United Kingdom)
  27. Univ. of Zagreb, Zagreb (Croatia)
  28. Maria Curie-Skłodowska Univ., Lublin (Poland). Inst. of Physics
  29. Lund Univ., Lund (Sweden)
Publication Date:
Research Org.:
Vanderbilt Univ., Nashville, TN (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); USDOE National Nuclear Security Administration (NNSA); European Union (EU); Polish National Science Centre (NCN); National Natural Science Foundation of China (NSFC); Ministry of Economic Affairs and Digital Transformation of Spain (MINECO); Fonds de la Recherche Scientifique (F.R.S.-FNRS); Fonds Wetenschappelijk Onderzoek—Vlaanderen (FWO); Australian Research Council; Japan Society for the Promotion of Science (JSPS)
OSTI Identifier:
1684810
Alternate Identifier(s):
OSTI ID: 1755842
Report Number(s):
LLNL-JRNL-810927
Journal ID: ISSN 0954-3899; TRN: US2204085
Grant/Contract Number:  
SC0013847; SC0019521; SC0013365; SC0018083; NA0003885; 89233218CNA000001; PGC2018-094583-B-I00; AC52-07NA27344; 654002; ST/M006433/1; ST/P003885/1; ST/P005314/1; 2018/31/B/ST2/02220; 2018/30/Q/ST2/00185; 2017/27/B/ST2/02792; 11875225; 11790325; DP190100256
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Physics. G, Nuclear and Particle Physics
Additional Journal Information:
Journal Volume: 47; Journal Issue: 11; Journal ID: ISSN 0954-3899
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; nuclear fission; nuclear theory; spontaneous fission; induced fission

Citation Formats

Bender, Michael, Bernard, Rémi, Bertsch, George, Chiba, Satoshi, Dobaczewski, Jacek, Dubray, Noël, Giuliani, Samuel A., Hagino, Kouichi, Lacroix, Denis, Li, Zhipan, Magierski, Piotr, Maruhn, Joachim, Nazarewicz, Witold, Pei, Junchen, Péru, Sophie, Pillet, Nathalie, Randrup, Jørgen, Regnier, David, Reinhard, Paul-Gerhard, Robledo, Luis M., Ryssens, Wouter, Sadhukhan, Jhilam, Scamps, Guillaume, Schunck, Nicolas, Simenel, Cédric, Skalski, Janusz, Stetcu, Ionel, Stevenson, Paul, Umar, Sait, Verriere, Marc, Vretenar, Dario, Warda, Michał, and Åberg, Sven. Future of nuclear fission theory. United States: N. p., 2020. Web. doi:10.1088/1361-6471/abab4f.
Bender, Michael, Bernard, Rémi, Bertsch, George, Chiba, Satoshi, Dobaczewski, Jacek, Dubray, Noël, Giuliani, Samuel A., Hagino, Kouichi, Lacroix, Denis, Li, Zhipan, Magierski, Piotr, Maruhn, Joachim, Nazarewicz, Witold, Pei, Junchen, Péru, Sophie, Pillet, Nathalie, Randrup, Jørgen, Regnier, David, Reinhard, Paul-Gerhard, Robledo, Luis M., Ryssens, Wouter, Sadhukhan, Jhilam, Scamps, Guillaume, Schunck, Nicolas, Simenel, Cédric, Skalski, Janusz, Stetcu, Ionel, Stevenson, Paul, Umar, Sait, Verriere, Marc, Vretenar, Dario, Warda, Michał, & Åberg, Sven. Future of nuclear fission theory. United States. https://doi.org/10.1088/1361-6471/abab4f
Bender, Michael, Bernard, Rémi, Bertsch, George, Chiba, Satoshi, Dobaczewski, Jacek, Dubray, Noël, Giuliani, Samuel A., Hagino, Kouichi, Lacroix, Denis, Li, Zhipan, Magierski, Piotr, Maruhn, Joachim, Nazarewicz, Witold, Pei, Junchen, Péru, Sophie, Pillet, Nathalie, Randrup, Jørgen, Regnier, David, Reinhard, Paul-Gerhard, Robledo, Luis M., Ryssens, Wouter, Sadhukhan, Jhilam, Scamps, Guillaume, Schunck, Nicolas, Simenel, Cédric, Skalski, Janusz, Stetcu, Ionel, Stevenson, Paul, Umar, Sait, Verriere, Marc, Vretenar, Dario, Warda, Michał, and Åberg, Sven. Tue . "Future of nuclear fission theory". United States. https://doi.org/10.1088/1361-6471/abab4f. https://www.osti.gov/servlets/purl/1684810.
@article{osti_1684810,
title = {Future of nuclear fission theory},
author = {Bender, Michael and Bernard, Rémi and Bertsch, George and Chiba, Satoshi and Dobaczewski, Jacek and Dubray, Noël and Giuliani, Samuel A. and Hagino, Kouichi and Lacroix, Denis and Li, Zhipan and Magierski, Piotr and Maruhn, Joachim and Nazarewicz, Witold and Pei, Junchen and Péru, Sophie and Pillet, Nathalie and Randrup, Jørgen and Regnier, David and Reinhard, Paul-Gerhard and Robledo, Luis M. and Ryssens, Wouter and Sadhukhan, Jhilam and Scamps, Guillaume and Schunck, Nicolas and Simenel, Cédric and Skalski, Janusz and Stetcu, Ionel and Stevenson, Paul and Umar, Sait and Verriere, Marc and Vretenar, Dario and Warda, Michał and Åberg, Sven},
abstractNote = {There has been much recent interest in nuclear fission, due in part to a new appreciation of its relevance to astrophysics, stability of superheavy elements, and fundamental theory of neutrino interactions. At the same time, there have been important developments on a conceptual and computational level for the theory. The promising new theoretical avenues were the subject of a workshop held at the University of York in October 2019; this report summarises its findings and recommendations.},
doi = {10.1088/1361-6471/abab4f},
journal = {Journal of Physics. G, Nuclear and Particle Physics},
number = 11,
volume = 47,
place = {United States},
year = {Tue Oct 13 00:00:00 EDT 2020},
month = {Tue Oct 13 00:00:00 EDT 2020}
}

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

Figures / Tables:

Figure 1 Figure 1: Schematic illustration of the features most relevant to the fission phenomenon. The red curve depicts (in a one-dimensional projection) the potential energy as a function of the elongation; the ground state is at the lowest minimum, and the shape-isomeric state is at the second minimum. From these statesmore » it is possible to tunnel through the potential barrier. Tunnelling is also relevant for neutron or photon induced fission when the resulting initial state lies below the fission barrier. If the initial state is excited above the fission barrier, it may undergo a complicated shape evolution crossing the barrier from above. Once the system finds itself beyond the barrier, it relatively quickly descends towards scission. There it divides into two nascent fragments, which subsequently move apart under the influence of their mutual Coulomb repulsion while gradually attaining their equilibrium shapes and become primary fragments. Primary fragments then deexcite by evaporating neutrons, radiating photons, and undergoing $β$ decay.« less

Save / Share:

Works referenced in this record:

Microscopic approach of fission dynamics applied to fragment kinetic energy and mass distributions in U 238
journal, February 2005


Fission dynamics at low excitation energy
journal, November 2014


Angular momentum of fission fragments
journal, March 2019


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


Numerical search of discontinuities in self-consistent potential energy surfaces
journal, October 2012


Dissipative dynamics in quasifission
journal, November 2014


Colloquium : Beta-delayed fission of atomic nuclei
journal, October 2013


Nuclear inertia from the time dependent pairing equations
journal, September 2016


Evolution of uranium fission-fragment charge yields with neutron number: Strong effect of multi-chance fission on yield asymmetries
journal, January 2017


A quantum relaxation-time approximation for finite fermion systems
journal, March 2015


Collective inertia of the Nambu-Goldstone mode from linear response theory
journal, September 2015


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


Fission dynamics within time-dependent Hartree-Fock: Deformation-induced fission
journal, November 2015


Barrier penetration and spontaneous fission in the time-dependent mean-field approximation
journal, November 1980


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


Number of particles in fission fragments
journal, August 2019


Deformed shell effects in Ca 48 + Bk 249 quasifission fragments
journal, August 2019


X-Ray Fluorescence from the Element with Atomic Number Z = 120
journal, March 2012


DIRHB—A relativistic self-consistent mean-field framework for atomic nuclei
journal, June 2014


Perspective: Nonadiabatic dynamics theory
journal, December 2012

  • Tully, John C.
  • The Journal of Chemical Physics, Vol. 137, Issue 22
  • DOI: 10.1063/1.4757762

Iterative approaches to the self-consistent nuclear energy density functional problem: Heavy ball dynamics and potential preconditioning
journal, June 2019


Towards a better parametrisation of Skyrme-like effective forces: A critical study of the SkM force
journal, September 1982


Brownian Shape Motion on Five-Dimensional Potential-Energy Surfaces:Nuclear Fission-Fragment Mass Distributions
journal, March 2011


Density as a constraint and the separation of internal excitation energy in TDHF
journal, September 1985

  • Cusson, R. Y.; Reinhard, P. -G.; Strayer, M. R.
  • Zeitschrift f�r Physik A Atoms and Nuclei, Vol. 320, Issue 3
  • DOI: 10.1007/BF01415725

Information content of a new observable: The case of the nuclear neutron skin
journal, May 2010


Combinatorial nuclear level-density model
journal, September 2013


Towards an extended Gogny force: History, state of the art and perspectives
journal, October 2017


New parametrization for the nuclear covariant energy density functional with a point-coupling interaction
journal, November 2010


Microscopic calculation of the form factors for deeply inelastic heavy-ion collisions within the statistical model
journal, February 1978

  • Barrett, B. R.; Shlomo, S.; Weidenmüller, H. A.
  • Physical Review C, Vol. 17, Issue 2
  • DOI: 10.1103/PhysRevC.17.544

Description of the asymmetric to symmetric fission transition in the neutron-deficient thorium isotopes: Role of the tensor force
journal, April 2020


Properties of highly excited nuclei
journal, October 1984


On the solution to the large amplitude collective motion of finite interacting Fermi systems
journal, May 1989


Microscopic description of the fission path with the Gogny interaction
journal, August 2018


On the inclusion of collisional correlations in quantum dynamics
journal, April 2015


Heavy-ion collisions and fission dynamics with the time-dependent Hartree–Fock theory and its extensions
journal, November 2018


Large superfluidity enhancement in the penetration of the fission barrier
journal, April 1974


Microscopic description of fission in odd-mass uranium and plutonium nuclei with the Gogny energy density functional
journal, December 2017


Nuclear collective vibrations in extended mean-field theory
journal, April 2004


Scission configurations and their implication in fission-fragment angular momenta
journal, June 2007


Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. VII. Simultaneous fits to masses and fission barriers
journal, June 2007


Time-reversal characteristics of quantum normal diffusion
journal, January 2012


One-body dissipation and the super-viscidity of nuclei
journal, August 1978


Origin of the dramatic change of fission mode in fermium isotopes investigated using Langevin equations
journal, May 2019


Energy partition in low energy fission
journal, May 2011


Linear response of homogeneous nuclear matter with energy density functionals
journal, March 2015


Time-Dependent Variational Principle for Predicting the Expectation Value of an Observable
journal, November 1981


Stochastic TDHF in an exactly solvable model
journal, October 2016


Table of Superdeformed Nuclear Bands and Fission Isomers
journal, October 2002

  • Singh, Balraj; Zywina, Roy; Firestone, Richard B.
  • Nuclear Data Sheets, Vol. 97, Issue 2
  • DOI: 10.1006/ndsh.2002.0018

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


The Time-Dependent Generator Coordinate Method in Nuclear Physics
journal, July 2020


The Lagrange-mesh method
journal, March 2015


Energy dependence of the nucleus-nucleus potential close to the Coulomb barrier
journal, August 2008


Quadrupole collective inertia in nuclear fission: Cranking approximation
journal, November 2011


Deformation properties with a finite-range simple effective interaction
journal, March 2016


Dynamics of Fragmented Condensates and Macroscopic Entanglement
journal, July 2017


Fission properties for r -process nuclei
journal, February 2012


Microscopic calculations of fission barriers and critical angular momenta for excited heavy nuclear systems
journal, March 1981


Effective theory for low-energy nuclear energy density functionals
journal, October 2012

  • Dobaczewski, J.; Bennaceur, K.; Raimondi, F.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 39, Issue 12
  • DOI: 10.1088/0954-3899/39/12/125103

Numerical accuracy of mean-field calculations in coordinate space
journal, December 2015


Coordinate-space solver for superfluid many-fermion systems with the shifted conjugate-orthogonal conjugate-gradient method
journal, April 2017


Effect of pairing on one- and two-nucleon transfer below the Coulomb barrier: A time-dependent microscopic description
journal, January 2013


The double-humped fission barrier
journal, October 1980


Fully microscopic scission-point model to predict fission fragment observables
journal, March 2019


Global description of β decay in even-even nuclei with the axially-deformed Skyrme finite-amplitude method
journal, January 2016


Two-body dissipation effect in nuclear fusion reactions
journal, July 2018


Bayesian approach to model-based extrapolation of nuclear observables
journal, September 2018


Fission-fragment charge yields: Variation of odd-even staggering with element number, energy, and charge asymmetry
journal, July 2014


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


Assessing theoretical uncertainties in fission barriers of superheavy nuclei
journal, May 2017


Fission-fragment mass distributions from strongly damped shape evolution
journal, September 2011


A Bayesian approach for parameter estimation and prediction using a computationally intensive model
journal, February 2015

  • Higdon, Dave; McDonnell, Jordan D.; Schunck, Nicolas
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3
  • DOI: 10.1088/0954-3899/42/3/034009

Optimizing relativistic energy density functionals: covariance analysis
journal, February 2015


Chaos modified wall formula damping of the surface motion of a cavity undergoing fissionlike shape evolutions
journal, January 1998


Microscopic analysis of two-body correlations in light nuclei
journal, June 1994


The quadrupole vibrational inertial function in the adiabatic time-dependent Hartree-Fock-Bogolyubov approximation
journal, October 1981


Fragment velocities, energies, and masses from fast neutron induced fission of U 235
journal, March 1984


Temperature-dependent combinatorial level densities with the D1M Gogny force
journal, December 2012


Collective Inertial Masses in Nuclear Reactions
journal, February 2020


Structure properties of Th 226 and Fm 256 , 258 , 260 fission fragments: Mean-field analysis with the Gogny force
journal, January 2008


Three-dimensional nuclear dynamics in the quantized ATDHF approach
journal, October 1983


Fluctuations in a time-dependent mean-field approach
journal, March 1984


The TDHF code Sky3D
journal, July 2014

  • Maruhn, J. A.; Reinhard, P. -G.; Stevenson, P. D.
  • Computer Physics Communications, Vol. 185, Issue 7
  • DOI: 10.1016/j.cpc.2014.04.008

Schematic reaction-theory model for nuclear fission
journal, March 2020


Multidimensional fission model with a complex absorbing potential
journal, April 2015


Hartree-Fock-Bogolyubov description of nuclei near the neutron-drip line
journal, June 1984


Stochastic TDHF and the Boltzman-Langevin equation
journal, May 1992


Mass and kinetic energy distributions of fission fragments using the time dependent generator coordinate method
journal, April 2004


Quantified limits of the nuclear landscape
journal, April 2020


Excitation during collective deformation: How simple it is
journal, September 1978

  • Sch�tte, G.; Wilets, L.
  • Zeitschrift f�r Physik A: Atoms and Nuclei, Vol. 286, Issue 3
  • DOI: 10.1007/BF01408263

Collective motion at large amplitudes and finite velocities
journal, March 1977

  • Strutinsky, V. M.
  • Zeitschrift f�r Physik A Atoms and Nuclei, Vol. 280, Issue 1
  • DOI: 10.1007/BF01438114

Large-amplitude pairing fluctuations in atomic nuclei
journal, December 2013

  • Vaquero, Nuria López; Egido, J. Luis; Rodríguez, Tomás R.
  • Physical Review C, Vol. 88, Issue 6
  • DOI: 10.1103/PhysRevC.88.064311

Unitary evolution with fluctuations and dissipation
journal, July 2019


Effects of microscopic transport coefficients on fission observables calculated by the Langevin equation
journal, October 2016


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

Coordinate space Hartree-Fock-Bogoliubov calculations for the zirconium isotope chain up to the two-neutron drip line
journal, May 2005


Hamiltonian formulation of time-dependent variational principles for the many-body system
journal, September 1976


Solution of the Skyrme–HF+BCS equation on a 3D mesh, II: A new version of the Ev8 code
journal, February 2015


Funny Hills: The Shell-Correction Approach to Nuclear Shell Effects and Its Applications to the Fission Process
journal, April 1972


Composite-particle decay widths by the generator coordinate method
journal, April 2019


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


Effect of shell structure on the fission of sub-lead nuclei
journal, October 2019


Time-dependent density functional theory with twist-averaged boundary conditions
journal, May 2016


High-harmonic spectra from time-dependent two-particle reduced-density-matrix theory
journal, March 2017


Nonlocal energy density functionals for pairing and beyond-mean-field calculations
journal, March 2017

  • Bennaceur, K.; Idini, A.; Dobaczewski, J.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 4
  • DOI: 10.1088/1361-6471/aa5fd7

Systematic study of deformed nuclei at the drip lines and beyond
journal, November 2003


Uncertainty quantification and propagation in nuclear density functional theory
journal, December 2015


Nuclear shape evolution based on microscopic level densities
journal, February 2017


Spurious finite-size instabilities with Gogny-type interactions
journal, September 2019


On the simulation of extended TDHF theory
journal, May 1999


Constraining the surface properties of effective Skyrme interactions
journal, August 2016


Sign of the overlap of Hartree-Fock-Bogoliubov wave functions
journal, February 2009


Slow fission of highly excited plutonium nuclei
journal, August 2018


Microscopic theory of nuclear fission: a review
journal, October 2016


Correlated prompt fission data in transport simulations
journal, January 2018


The Axial Hartree–Fock + BCS Code SkyAx
journal, January 2021


Scission configuration of U 239 from yields and kinetic information of fission fragments
journal, March 2020


Relative kinetic energy correction to self-consistent fission barriers
journal, November 2006


Fission of SHN and Its Hindrance: Odd Nuclei and Isomers
journal, January 2018


Microscopic predictions for the production of neutron-rich nuclei in the reaction Yb 176 + Yb 176
journal, March 2020


Path-integral approach to time-dependent self-consistent field theories
journal, June 1979


Formation and dynamics of fission fragments
journal, March 2014


Nuclear Scission and Quantum Localization
journal, September 2011


Novel Role of Superfluidity in Low-Energy Nuclear Reactions
journal, July 2017


α decay in the complex-energy shell model
journal, September 2012


Probing Neutron Correlations through Nuclear Breakup
journal, May 2009


A stochastic mean-field approach for nuclear dynamics
journal, January 2008


Non-perturbative collective inertias for fission: A comparative study
journal, December 2018


Microscopic theory of fission dynamics
journal, October 1989


On the spontaneous fission of nuclei
journal, January 1966


Thermal fission rates with temperature dependent fission barriers
journal, August 2016


Constrained Hartree-Bogoliubov solutions as a basis for time-dependent calculations
journal, December 1975


The shape of the heated fast-rotating nuclei
journal, September 1980


Theory of Nuclear Fission
book, January 2012


Skyrme functional from a three-body pseudopotential of second order in gradients: Formalism for central terms
journal, December 2013


Microscopic description of fission in superheavy nuclei with the parametrization D1M$$^{*}$$∗ of the Gogny energy density functional
journal, February 2020


Scalable nuclear density functional theory with Sky3D
journal, February 2018

  • Afibuzzaman, Md; Schuetrumpf, Bastian; Aktulga, Hasan Metin
  • Computer Physics Communications, Vol. 223
  • DOI: 10.1016/j.cpc.2017.10.009

Adiabatic Selfconsistent Collective Coordinate Method for Large Amplitude Collective Motion in Nuclei with Pairing Correlations
journal, May 2000

  • Matsuo, M.; Nakatsukasa, T.; Matsuyanagi, K.
  • Progress of Theoretical Physics, Vol. 103, Issue 5
  • DOI: 10.1143/PTP.103.959

Nuclear fission with mean-field instantons
journal, June 2008


Heavy-ion interaction potential deduced from density-constrained time-dependent Hartree-Fock calculation
journal, August 2006


Time-dependent generator-coordinate-method study of mass-asymmetric fission of actinides
journal, May 2019


Langevin model of low-energy fission
journal, September 2017


A study of collective paths in the time-dependent hartree-fock approach to large amplitude collective nuclear motion
journal, April 1981


RIPL – Reference Input Parameter Library for Calculation of Nuclear Reactions and Nuclear Data Evaluations
journal, December 2009


Neutron Drip Line in the Ca Region from Bayesian Model Averaging
journal, February 2019


Time-dependent density functional theory: Past, present, and future
journal, August 2005

  • Burke, Kieron; Werschnik, Jan; Gross, E. K. U.
  • The Journal of Chemical Physics, Vol. 123, Issue 6
  • DOI: 10.1063/1.1904586

Collective aspects deduced from time-dependent microscopic mean-field with pairing: Application to the fission process
journal, September 2015


Nuclear energy density optimization: Shell structure
journal, May 2014


Fission properties of superheavy nuclei for r -process calculations
journal, March 2018

  • Giuliani, Samuel A.; Martínez-Pinedo, Gabriel; Robledo, Luis M.
  • Physical Review C, Vol. 97, Issue 3
  • DOI: 10.1103/PhysRevC.97.034323

Time-dependent Hartree-Fock-Bogoliubov calculations using a Lagrange mesh with the Gogny interaction
journal, September 2013


Fission fragment charge and mass distributions in Pu 239 ( n , f ) in the adiabatic nuclear energy density functional theory
journal, May 2016


Axially symmetric Hartree-Fock-Bogoliubov calculations for nuclei near the drip lines
journal, June 2003


Description of induced nuclear fission with Skyrme energy functionals. II. Finite temperature effects
journal, March 2015


Nuclear scission and fission-fragment kinetic-energy distribution: Study within three-dimensional Langevin dynamics
journal, February 2008


Microscopic transport theory of nuclear processes
journal, January 2010


Gauge-Invariant Formulation of the Adiabatic Self-Consistent Collective Coordinate Method
journal, March 2007

  • Hinohara, N.; Nakatsukasa, T.; Matsuo, M.
  • Progress of Theoretical Physics, Vol. 117, Issue 3
  • DOI: 10.1143/PTP.117.451

Superfluid dynamics of Fm 258 fission
journal, July 2015


Interplay between Quantum Shells and Orientation in Quasifission
journal, October 2014


Pairing-induced speedup of nuclear spontaneous fission
journal, December 2014


Fusion window problem in time-dependent Hartree-Fock theory revisited
journal, February 2002


One-body dissipation in agreement with prescission neutrons and fragment kinetic energies
journal, June 1993


Formation and distribution of fragments in the spontaneous fission of 240 Pu
journal, December 2017


Stochastic mean-field dynamics for fermions in the weak-coupling limit
journal, April 2006


Extension of the nuclear landscape to hyperheavy nuclei
journal, March 2019


Benchmarking nuclear fission theory
journal, May 2015

  • Bertsch, G. F.; Loveland, W.; Nazarewicz, W.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 7
  • DOI: 10.1088/0954-3899/42/7/077001

Propagating two-particle reduced density matrices without wave functions
journal, February 2015


Dynamics and non-adiabaticity in the fission process
journal, November 1975


Quasifission Dynamics in Microscopic Theories
journal, February 2020


The TDHF code Sky3D version 1.1
journal, August 2018

  • Schuetrumpf, B.; Reinhard, P. -G.; Stevenson, P. D.
  • Computer Physics Communications, Vol. 229
  • DOI: 10.1016/j.cpc.2018.03.012

Gogny force with a finite-range density dependence
journal, March 2015


Elastoplasticity of finite fermi systems
journal, October 1984


New statistical scission-point model to predict fission fragment observables
journal, September 2015

  • Lemaître, Jean-François; Panebianco, Stefano; Sida, Jean-Luc
  • Physical Review C, Vol. 92, Issue 3
  • DOI: 10.1103/PhysRevC.92.034617

Systematic study of fission barriers of excited superheavy nuclei
journal, July 2009


On stochastic approaches of nuclear dynamics
journal, October 1996


Nuclear density-functional theory and fission of super-heavy elements
journal, February 2018


One-body energy dissipation in fusion reactions from mean-field theory
journal, February 2009


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


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

  • Dobaczewski, J.; Nazarewicz, W.; Reinhard, P-G
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 7
  • DOI: 10.1088/0954-3899/41/7/074001

Role of dynamic pairing correlations in fission dynamics
journal, June 2019


Three-dimensional Langevin calculations of fission fragment mass-energy distribution from excited compound nuclei
journal, April 2001


Exploring Zeptosecond Quantum Equilibration Dynamics: From Deep-Inelastic to Fusion-Fission Outcomes in Ni 58 + Ni 60 Reactions
journal, January 2018


An adiabatic time-dependent Hartree-Fock theory of collective motion in finite systems
journal, September 1978


Microscopic modeling of mass and charge distributions in the spontaneous fission of Pu 240
journal, January 2016


The Landau−Zener Formula
journal, May 2005

  • Wittig, Curt
  • The Journal of Physical Chemistry B, Vol. 109, Issue 17
  • DOI: 10.1021/jp040627u

Fission Barriers of Compound Superheavy Nuclei
journal, May 2009


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

Deformed coordinate-space Hartree-Fock-Bogoliubov approach to weakly bound nuclei and large deformations
journal, December 2008


Nuclear quantum many-body dynamics: From collective vibrations to heavy-ion collisions
journal, November 2012


Skyrme effective pseudopotential up to the next-to-next-to-leading order
journal, July 2013


Pairing and shell effects in the transport coefficients of collective motion
journal, September 1999


Microscopic description of neutron emission rates in compound nuclei
journal, November 2014


Diabatic hindrance of heavy-ion fusion
journal, October 1989


Nuclear Fission Dynamics: Past, Present, Needs, and Future
journal, March 2020


Excitation energy partition in fission
journal, April 2020


Dynamic versus static fission paths with realistic interactions
journal, November 2014

  • Giuliani, Samuel A.; Robledo, Luis M.; Rodríguez-Guzmán, R.
  • Physical Review C, Vol. 90, Issue 5
  • DOI: 10.1103/PhysRevC.90.054311

TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: A Mini Review
journal, March 2019


Cluster radioactivity of Og 176 118 294
journal, April 2019


Isotopic trends of nuclear surface properties of spherical nuclei
journal, November 2016


Fission dynamics of Cf 252
journal, May 2017


Particle-number projection and the density functional theory
journal, November 2007


Asymmetric Fission
journal, January 1953


Nuclear fission modes and fragment mass asymmetries in a five-dimensional deformation space
journal, February 2001

  • Möller, P.; Madland, D. G.; Sierk, A. J.
  • Nature, Vol. 409, Issue 6822
  • DOI: 10.1038/35057204

Dynamics of nuclear fluid. V. Extended time-dependent Hartree-Fock approximation illuminates the approach to thermal equilibrium
journal, October 1979


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


Analysis of the total kinetic energy of fission fragments with the Langevin equation
journal, December 2017


Four-dimensional Langevin approach to low-energy nuclear fission of U 236
journal, December 2017


Adaptive multi-resolution 3D Hartree-Fock-Bogoliubov solver for nuclear structure
journal, August 2014


Self-Consistent Collective-Coordinate Method for the Large-Amplitude Nuclear Collective Motion
journal, October 1980

  • Marumori, T.; Maskawa, T.; Sakata, F.
  • Progress of Theoretical Physics, Vol. 64, Issue 4
  • DOI: 10.1143/PTP.64.1294

Fission dynamics of Pu 240 from saddle to scission and beyond
journal, September 2019


Projection of good quantum numbers for reaction fragments
journal, September 2019


Error analysis in nuclear density functional theory
journal, February 2015

  • Schunck, Nicolas; McDonnell, Jordan D.; Sarich, Jason
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3
  • DOI: 10.1088/0954-3899/42/3/034024

Mechanisms Suppressing Superheavy Element Yields in Cold Fusion Reactions
journal, June 2019


The limits of the nuclear landscape
journal, June 2012

  • Erler, Jochen; Birge, Noah; Kortelainen, Markus
  • Nature, Vol. 486, Issue 7404
  • DOI: 10.1038/nature11188

Broyden's method in nuclear structure calculations
journal, July 2008


Microscopic description of the odd-even effect in cold fission
journal, March 2014


Microscopic study of induced fission dynamics of Th 226 with covariant energy density functionals
journal, August 2017


Time-dependent response calculations of nuclear resonances
journal, March 2005


Change of the shape of mass and charge distributions in fission of Cf isotopes with excitation energy
journal, June 2019


Time-dependent quantum collective dynamics applied to nuclear fission
journal, February 1991


Spontaneous fission and nuclear dissipation
journal, March 1987


Heavy-element fission barriers
journal, June 2009


Solution of the mean field equations for spontaneous fission
journal, March 1987


Random-matrix approach to the statistical compound nuclear reaction at low energies using the Monte Carlo technique
journal, October 2015


Finite-amplitude method for charge-changing transitions in axially deformed nuclei
journal, August 2014


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


Microscopically based energy density functionals for nuclei using the density matrix expansion. II. Full optimization and validation
journal, May 2018


Impact of pear-shaped fission fragments on mass-asymmetric fission in actinides
journal, December 2018


On the impact of large amplitude pairing fluctuations on nuclear spectra
journal, October 2011


Minimal nuclear energy density functional
journal, April 2018


Quasidynamic propagation in diabatic landscapes for low energy nuclear fission
journal, December 1991

  • Matev, M. T.; Slavov, B.
  • Zeitschrift f�r Physik A Hadrons and Nuclei, Vol. 338, Issue 4
  • DOI: 10.1007/BF01295771

A Microscopic Theory of Fission Dynamics Based on the Generator Coordinate Method
book, January 2019


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


Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
journal, June 1996


Nuclear Constitution and the Interpretation of Fission Phenomena
journal, March 1953


Further studies in the liquid-drop theory on nuclear fission
journal, June 1969


Fission in a wall-and-window one-body-dissipation model
journal, March 1980


The fluctuation-dissipation theorem
journal, January 1966


Nuclear energy density optimization: Large deformations
journal, February 2012


Diabatic and adiabatic collective motion in a model pairing system
journal, March 1998


Application of the gradient method to Hartree-Fock-Bogoliubov theory
journal, July 2011


Angular Momentum of Primary Products Formed in the Spontaneous Fission of Cf 252
journal, June 1972


Microscopic study of Pu 240 : Mean field and beyond
journal, November 2004


Fission times of excited nuclei: An experimental overview
journal, July 2009


Stochastic quantum dynamics beyond mean field
journal, June 2014


Self-consistent symmetries in the proton-neutron Hartree-Fock-Bogoliubov approach
journal, January 2010


Correlated transitions in TKE and mass distributions of fission fragments described by 4-D Langevin equation
journal, February 2019


Adiabatic self-consistent collective path in nuclear fusion reactions
journal, July 2017


Microscopic Phase-Space Exploration Modeling of Fm 258 Spontaneous Fission
journal, April 2017


Decay widths at the scission point in nuclear fission
journal, October 2019


β -delayed Fission in r -process Nucleosynthesis
journal, December 2018

  • Mumpower, M. R.; Kawano, T.; Sprouse, T. M.
  • The Astrophysical Journal, Vol. 869, Issue 1
  • DOI: 10.3847/1538-4357/aaeaca

Fission fragment properties in fast-neutron-induced fission of Np 237
journal, July 1986


Two-body contributions to the effective mass in nuclear effective interactions
journal, April 2018


Dissipative diabatic dynamics
journal, May 1983


The self-consistent single-particle model in nuclear physics
journal, June 1975


Behavior of Shell Effects with the Excitation Energy in Atomic Nuclei
journal, July 2000


Four-dimensional Langevin dynamics of heavy-ion-induced fission
journal, June 2012


From asymmetric to symmetric fission in the fermium isotopes within the time-dependent generator-coordinate-method formalism
journal, February 2019


Number conserving particle-hole RPA for superfluid nuclei
journal, August 2019


Nuclear energy density optimization
journal, August 2010


Fission dynamics within time-dependent Hartree-Fock. II. Boost-induced fission
journal, January 2016


Energy dependence of fission-fragment mass distributions from strongly damped shape evolution
journal, December 2013


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


Extended Time-Dependent Hartree-Fock Approximation with Particle Collisions
journal, April 1978


Scission-point model of nuclear fission based on deformed-shell effects
journal, November 1976


Induced Fission of Pu 240 within a Real-Time Microscopic Framework
journal, March 2016


Transfer probabilities for the reactions O 14 , 20 + O 20 in terms of multiple time-dependent Hartree-Fock-Bogoliubov trajectories
journal, September 2017


Fusion and quasifission dynamics in the reactions Ca 48 + Bk 249 and Ti 50 + Bk 249 using a time-dependent Hartree-Fock approach
journal, August 2016


Multidimensionally-constrained relativistic mean-field models and potential-energy surfaces of actinide nuclei
journal, January 2014


Quantum tunnelling in a dissipative system
journal, September 1983


Effect of intrinsic degrees of freedom on the quantum tunneling of a collective variable
journal, August 1983


Influence of the pairing vibrations on spontaneous fission probability
journal, November 1989


Heavy Deformed Nuclei in the Shell Model Monte Carlo Method
journal, August 2008


Three-dimensional TDHF calculations for reactions of unstable nuclei
journal, October 1997

  • Kim, Ka-Hae; Otsuka, Takaharu; Bonche, Paul
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 23, Issue 10
  • DOI: 10.1088/0954-3899/23/10/014

Remarks on the use of projected densities in the density-dependent part of Skyrme or Gogny functionals
journal, April 2010


Incorporating Brueckner-Hartree-Fock correlations in energy density functionals
journal, December 2018


Convergence of Density-Matrix Expansions for Nuclear Interactions
journal, September 2010


Time-dependent Hartree-Fock calculations of 4 He + 14 C, 12 C + 12 C ( 0 + ), and 4 He + 20 Ne molecular formations
journal, July 1985


Microscopic theory of fission dynamics
journal, October 1989


Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.