skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Description of induced nuclear fission with Skyrme energy functionals: Static potential energy surfaces and fission fragment properties

Journal Article · · Physical Review C, Nuclear Physics
 [1];  [2];  [2];  [3]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Univ. of Leeds, Leeds (United Kingdom)
  3. Argonne National Lab. (ANL), Argonne, IL (United States)

Eighty years after its experimental discovery, a description of induced nuclear fission based solely on the interactions between neutrons and protons and quantum many-body methods still poses formidable challenges. The goal of this paper is to contribute to the development of a predictive microscopic framework for the accurate calculation of static properties of fission fragments for hot fission and thermal or slow neutrons. To this end, we focus on the 239Pu($n ,f$ ) reaction and employ nuclear density functional theory with Skyrme energy densities. Potential energy surfaces are computed at the Hartree-Fock-Bogoliubov approximation with up to five collective variables. We find that the triaxial degree of freedom plays an important role, both near the fission barrier and at scission. The impact of the parametrization of the Skyrme energy density and the role of pairing correlations on deformation properties from the ground state up to scission are also quantified. We introduce a general template for the quantitative description of fission fragment properties. It is based on the careful analysis of scission configurations, using both advanced topological methods and recently proposed quantum many-body techniques. We conclude that an accurate prediction of fission fragment properties at low incident neutron energies, although technologically demanding, should be within the reach of current nuclear density functional theory.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC05-00OR22725; AC52-07NA27344
OSTI ID:
1565368
Alternate ID(s):
OSTI ID: 1180689
Journal Information:
Physical Review C, Nuclear Physics, Vol. 90, Issue 5; ISSN 0556-2813
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 73 works
Citation information provided by
Web of Science

References (93)

Microscopic description of fission in uranium isotopes with the Gogny energy density functional journal May 2014
Microscopic and nonadiabatic Schrödinger equation derived from the generator coordinate method based on zero- and two-quasiparticle states journal October 2011
Microscopic approach of fission dynamics applied to fragment kinetic energy and mass distributions in U 238 journal February 2005
Fission barriers in actinides in covariant density functional theory: The role of triaxiality journal October 2010
Fission barriers and the inclusion of axial asymmetry journal March 1972
Structure properties of Th 226 and Fm 256 , 258 , 260 fission fragments: Mean-field analysis with the Gogny force journal January 2008
Monte Carlo Hauser-Feshbach predictions of prompt fission γ rays: Application to n th + 235 U, n th + 239 Pu, and 252 Cf (sf) journal January 2013
Fission rate in multi-dimensional Langevin calculations journal June 2007
RIPL – Reference Input Parameter Library for Calculation of Nuclear Reactions and Nuclear Data Evaluations journal December 2009
Numerical search of discontinuities in self-consistent potential energy surfaces journal October 2012
The canonical form of an antisymmetric tensor and its application to the theory of superconductivity journal December 1962
Nuclear energy density optimization: Shell structure journal May 2014
Comparison of the energy and mass characteristics of the Pu 239 ( n th , f ) and the Pu 240 (sf) fragments journal July 1984
Surface symmetry energy of nuclear energy density functionals journal March 2011
Mass and kinetic energy distributions of fission fragments using the time dependent generator coordinate method journal April 2004
Dynamics of induced fission journal March 1978
Event-by-event study of neutron observables in spontaneous and thermal fission journal October 2011
Spontaneous fission lifetimes from the minimization of self-consistent collective action journal December 2013
Nuclear Ground-State Masses and Deformations journal March 1995
Density functional theory with spatial-symmetry breaking and configuration mixing journal April 2014
Calculation of fission observables through event-by-event simulation journal August 2009
Flexible isosurfaces: Simplifying and displaying scalar topology using the contour tree journal January 2010
Heavy-element fission barriers journal June 2009
Fission modes of Fm 256 and Fm 258 in a microscopic approach journal July 2006
Brownian Shape Motion on Five-Dimensional Potential-Energy Surfaces:Nuclear Fission-Fragment Mass Distributions journal March 2011
Variation after particle-number projection for the Hartree-Fock-Bogoliubov method with the Skyrme energy density functional journal July 2007
Towards a better parametrisation of Skyrme-like effective forces: A critical study of the SkM force journal September 1982
Funny Hills: The Shell-Correction Approach to Nuclear Shell Effects and Its Applications to the Fission Process journal April 1972
Microscopic calculation of Pu 240 scission with a finite-range effective force journal November 2009
Ab initio molecular dynamics: Concepts, recent developments, and future trends journal May 2005
Character and prevalence of third minima in actinide fission barriers journal May 2013
Constrained hartree-fock and beyond journal October 1989
Fission half-lives of superheavy nuclei in a microscopic approach journal July 2012
Understanding the Structure of the Turbulent Mixing Layer in Hydrodynamic Instabilities journal September 2006
Systematic study of fission barriers of excited superheavy nuclei journal July 2009
Rupture of the neck in nuclear fission journal November 1977
Solution of the Skyrme–Hartree–Fock–Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. journal January 2012
Segmenting molecular surfaces journal August 2006
Studies in the liquid-drop theory of nuclear fission journal September 1965
Calculated fission yields of neutron-deficient mercury isotopes journal February 2012
Symmetrical shapes of equilibrium for a liquid drop model journal July 1963
Fast multiresolution methods for density functional theory in nuclear physics journal July 2009
Parity restoration in the highly truncated diagonalization approach: Application to the outer fission barrier of 240 Pu journal December 2012
Nuclear energy density optimization: Large deformations journal February 2012
Systematic study of deformed nuclei at the drip lines and beyond journal November 2003
Ab initio molecular dynamics with maximally localized Wannier functions journal January 2003
Scission configurations and their implication in fission-fragment angular momenta journal June 2007
Microscopic description of cluster radioactivity in actinide nuclei journal October 2011
Localized Atomic and Molecular Orbitals journal July 1963
Local density approximation for proton-neutron pairing correlations: Formalism journal January 2004
Nuclear ground-state properties from mean-field calculations journal September 2002
Microscopic study of the 238 238 U system and anomalous pair production journal June 1990
Analyzing and Tracking Burning Structures in Lean Premixed Hydrogen Flames journal March 2010
The Mechanism of Nuclear Fission journal September 1939
Microscopic analysis of collective dynamics in low energy fission journal October 1984
Measurement of Fragment Mass Dependent Kinetic Energy and Neutron Multiplicity for Thermal Neutron Induced Fission of Plutonium-239 journal May 1995
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
Odd-even mass differences from self-consistent mean field theory journal March 2009
Simultaneous Measurement of Prompt Neutrons and Fission Fragments for 239 Pu( n th ,f ) journal November 2000
Fission Barriers of Compound Superheavy Nuclei journal May 2009
Solution of the Skyrme HF+BCS equation on a 3D mesh journal September 2005
Solution of the Skyrme-Hartree-Fock equations in the Cartesian deformed harmonic oscillator basis I. The method journal May 1997
The self-consistent single-particle model in nuclear physics journal June 1975
Hartree-Fock Calculations with Skyrme's Interaction. I. Spherical Nuclei journal March 1972
Event-by-event study of photon observables in spontaneous and thermal fission journal April 2013
Four-dimensional Langevin dynamics of heavy-ion-induced fission journal June 2012
A self-consistent microscopic approach to the 12C+12C reaction at low energy journal January 1980
Nuclear energy density optimization journal August 2010
Advanced Monte Carlo modeling of prompt fission neutrons for thermal and fast neutron-induced fission reactions on Pu 239 journal June 2011
Fission barriers in covariant density functional theory: Extrapolation to superheavy nuclei journal February 2012
Time-dependent hartree-fock theory with Skyrme's interaction journal September 1975
Self-consistent mean-field models for nuclear structure journal January 2003
Density Functional Theory Approach to Nuclear Fission journal January 2013
Deformed coordinate-space Hartree-Fock-Bogoliubov approach to weakly bound nuclei and large deformations journal December 2008
Density-Functional Theory of the Electronic Structure of Molecules journal October 1995
Mean-field study of the nuclear partition function: application to level density and compound nucleus fission journal September 1981
Origin of the narrow, single peak in the fission-fragment mass distribution for Fm 258 journal January 2009
Triaxial Hartree-Fock-Bogolyubov calculations with D 1 effective interaction journal May 1983
Event-by-event evaluation of the prompt fission neutron spectrum from 239 Pu ( n , f ) journal February 2012
The double-humped fission barrier journal October 1980
Scission-point model of nuclear fission based on deformed-shell effects journal November 1976
Convergence properties of ab initio calculations of light nuclei in a harmonic oscillator basis journal November 2012
Corrections to nuclear energies and radii in finite oscillator spaces journal September 2012
Fission properties of the Barcelona-Catania-Paris-Madrid energy density functional journal November 2013
Nuclear Scission and Quantum Localization journal September 2011
Formation and dynamics of fission fragments journal March 2014
Fission-fragment mass distributions from strongly damped shape evolution journal September 2011
Representation and display of vector field topology in fluid flow data sets journal August 1989
Microscopic description of complex nuclear decay: Multimodal fission journal July 2009
Turbulence effects on cellular burning structures in lean premixed hydrogen flames journal May 2009
Spontaneous fission modes and lifetimes of superheavy elements in the nuclear density functional theory journal February 2013
Event-by-event study of prompt neutrons from Pu 239 ( n , f ) journal October 2009
Self-consistent calculations of fission barriers in the Fm region journal July 2002

Cited By (10)

Fission fragment mass yield deduced from density distribution in the pre-scission configuration journal October 2015
Multidimensionally constrained covariant density functional theories—nuclear shapes and potential energy surfaces journal May 2016
Microscopic theory of nuclear fission: a review journal October 2016
r -process nucleosynthesis: connecting rare-isotope beam facilities with the cosmos journal July 2019
Review on the progress in nuclear fission—experimental methods and theoretical descriptions journal September 2018
Fission fragment mass yield deduced from density distribution in the pre-scission configuration preprint January 2015
Fission dynamics within time-dependent Hartree-Fock: deformation-induced fission text January 2015
Microscopic Theory of Nuclear Fission: A Review text January 2015
Adiabatic fission barriers in superheavy nuclei text January 2016
A Minimal Nuclear Energy Density Functional text January 2017

Similar Records

Description of induced nuclear fission with Skyrme energy functionals. II. Finite temperature effects
Journal Article · Wed Mar 25 00:00:00 EDT 2015 · Physical Review. C. Nuclear Physics · OSTI ID:1565368

Microscopic Theory of Nuclear Fission: A Review
Journal Article · Tue Oct 11 00:00:00 EDT 2016 · Reports on Progress in Physics · OSTI ID:1565368

Fission Modes of Mercury Isotopes
Journal Article · Sun Jan 01 00:00:00 EST 2012 · Physical Review. C, Nuclear Physics · OSTI ID:1565368