Theory of nuclear fission

Schunck, Nicolas; Regnier, David

doi:10.1016/j.ppnp.2022.103963

Title: Theory of nuclear fission

Abstract

Atomic nuclei are quantum many-body systems of protons and neutrons held together by strong nuclear forces. Under the proper conditions, nuclei can break into two (sometimes three) fragments which will subsequently decay by emitting particles. This phenomenon is called nuclear fission. Since different fission events may produce different fragmentations, the end-products of all fissions that occurred in a small chemical sample of matter comprise hundreds of different isotopes, including α particles, together with a large number of emitted neutrons, photons, electrons and antineutrinos. The extraordinary complexity of this process, which happens at length scales of the order of a femtometer, mostly takes less than a femtosecond but is not entirely over until all the lingering β decays have completed – which can take years – is a fascinating window into the physics of atomic nuclei. While fission may be more naturally known in the context of its technological applications, it also plays a crucial role in the synthesis of heavy elements in astrophysical environments. In both cases, simulations are needed for the many systems or energies inaccessible to experiments in the laboratory. In this context, the level of accuracy and precision required poses formidable challenges to nuclear theory. Overall, themore »« less

Authors:

^[1];

^[2]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Alternative Energies and Atomic Energy Commission (CEA, DAM, DIF), Arpajon (France); Univ. Paris-Saclay, Bruyères-le-Châtel (France)

Publication Date:: Tue Apr 26 00:00:00 EDT 2022

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

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1873225

Alternate Identifier(s):: OSTI ID: 1960974

Report Number(s):: LLNL-JRNL-830603
Journal ID: ISSN 0146-6410; 1046287; TRN: US2306983

Grant/Contract Number:: AC52-07NA27344; SC0018223

Resource Type:: Accepted Manuscript

Journal Name:: Progress in Particle and Nuclear Physics

Additional Journal Information:: Journal Volume: 125; Journal ID: ISSN 0146-6410

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; fission; fission fragment yields; cross sections; prompt fission spectrum; large-amplitude collective motion; energy density functional theory

Citation Formats


                    Schunck, Nicolas, and Regnier, David. Theory of nuclear fission.  United States: N. p., 2022. 
Web.  doi:10.1016/j.ppnp.2022.103963.

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                    Schunck, Nicolas, & Regnier, David. Theory of nuclear fission.  United States.  https://doi.org/10.1016/j.ppnp.2022.103963

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                    Schunck, Nicolas, and Regnier, David. Tue .  
"Theory of nuclear fission".  United States.  https://doi.org/10.1016/j.ppnp.2022.103963.  https://www.osti.gov/servlets/purl/1873225.

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@article{osti_1873225,

  title        = {Theory of nuclear fission},

  author       = {Schunck, Nicolas and Regnier, David},

  abstractNote = {Atomic nuclei are quantum many-body systems of protons and neutrons held together by strong nuclear forces. Under the proper conditions, nuclei can break into two (sometimes three) fragments which will subsequently decay by emitting particles. This phenomenon is called nuclear fission. Since different fission events may produce different fragmentations, the end-products of all fissions that occurred in a small chemical sample of matter comprise hundreds of different isotopes, including α particles, together with a large number of emitted neutrons, photons, electrons and antineutrinos. The extraordinary complexity of this process, which happens at length scales of the order of a femtometer, mostly takes less than a femtosecond but is not entirely over until all the lingering β decays have completed – which can take years – is a fascinating window into the physics of atomic nuclei. While fission may be more naturally known in the context of its technological applications, it also plays a crucial role in the synthesis of heavy elements in astrophysical environments. In both cases, simulations are needed for the many systems or energies inaccessible to experiments in the laboratory. In this context, the level of accuracy and precision required poses formidable challenges to nuclear theory. Overall, the goal of this article is to provide a comprehensive overview of the theoretical methods employed in the description of nuclear fission.},

  doi          = {10.1016/j.ppnp.2022.103963},

  journal      = {Progress in Particle and Nuclear Physics},

  number       = ,

  volume       = 125,

  place        = {United States},

  year         = {Tue Apr 26 00:00:00 EDT 2022},

  month        = {Tue Apr 26 00:00:00 EDT 2022}

}

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Mumpower, M. R.; Jaffke, P.; Verriere, M.
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Möller, P.; Nix, J. R.; Swiatecki, W. J.
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Aritomo, Yoshihiro; Chiba, Satoshi; Nishio, Katsuhisa
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Giuliani, S. A.; Matheson, Z.; Nazarewicz, W.
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Nuclear structure insights into reactor antineutrino spectra
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Mumpower, M. R.; Kawano, T.; Sprouse, T. M.
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Adiabatic fission barriers in superheavy nuclei
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Litaize, Olivier; Serot, Olivier; Berge, Léonie
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Aspects of Chaos in Nuclear Physics
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Reinhard, P. -G.; Bender, M.; Nazarewicz, W.
Physical Review C, Vol. 73, Issue 1
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Fission of Super-Heavy Nuclei Explored with Skyrme Forces
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Schindzielorz, N.; Erler, J.; KlÜPfel, P.
International Journal of Modern Physics E, Vol. 18, Issue 04
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The AME 2020 atomic mass evaluation (II). Tables, graphs and references*
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Wang, Meng; Huang, W. J.; Kondev, F. G.
Chinese Physics C, Vol. 45, Issue 3
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Similar Records

Title: Theory of nuclear fission

Abstract

Citation Formats

Temperature dependence of shell corrections journal, May 2018

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

Quasiparticle random phase approximation predictions of the gamma-ray strength functions using the Gogny force journal, January 2017

Fission barriers and the inclusion of axial asymmetry journal, March 1972

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

Generation of Fragment Angular Momentum in Fission journal, August 2021

Secondary fission barriers in even-even actinide nuclei journal, March 2012

A method to calculate fission-fragment yields Y(Z,N) versus proton and neutron number in the Brownian shape-motion model: Application to calculations of U and Pu charge yields journal, December 2015

Spontaneously Fissioning Isomers journal, December 1977

The Impact of Intermediate Structure on the Average Fission Cross Sections journal, April 2014

Modification of Hauser-Feshbach calculations by direct-reaction channel coupling journal, January 1973

Extended optical model for fission journal, March 2016

Number of particles in fission fragments journal, August 2019

On the role of memory effects for dissipation and diffusion in slow collective nuclear motion journal, June 1983

Angular Momentum Removal by Neutron and γ -Ray Emissions during Fission Fragment Decays journal, November 2021

Prompt Fission Neutrons and γ Rays journal, April 2014

Hartree-Fock-Bogolyubov calculations with the D 1 effective interaction on spherical nuclei journal, April 1980

Fission description: First steps towards a full resolution of the time-dependent Hill-Wheeler equation journal, January 2017

Fission barriers and probabilities of spontaneous fission for elements with Z≥ 100 journal, December 2015

Fission rate and transient time with a quantum master equation journal, December 2007

Properties of heaviest nuclei with 98 ≤ Z ≤ 126 and 134 ≤ N ≤ 192 journal, March 2021

Quantum Theory of Many-Particle Systems. III. Extension of the Hartree-Fock Scheme to Include Degenerate Systems and Correlation Effects journal, March 1955

Quasi-fission — The mass-drift mode in heavy-ion reactions journal, July 1985

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

Angular momentum of fission fragments from microscopic theory journal, August 2021

Diabatic paths through the scission point in nuclear fission journal, August 2019

Finite-amplitude method for collective inertia in spontaneous fission journal, January 2021

Impact of nuclear inertia momenta on fission observables journal, January 2018

The Inelastic Scattering of Neutrons journal, July 1952

Angular Momentum Distribution of Fission Fragments journal, April 2014

A new kind of natural radioactivity journal, January 1984

Nuclear masses and deformations journal, June 1966

Angular Momentum Effects in the Gamma-Ray De-Excitation of Fission Fragments journal, July 1967

Langevin fluctuation-dissipation dynamics of hot nuclei: Prescission neutron multiplicities and fission probabilities journal, May 1993

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

Rotational bands and particle-hole excitations at very high spin journal, March 1985

Measured and simulated Cf ( sf ) 252 prompt neutron-photon competition journal, April 2018

Particle number conserving shell-correction method journal, October 2004

Nuclear hyperdeformation and the Jacobi shape transition journal, May 2007

Shape parametrization for liquid-drop studies journal, September 1980

Fission properties for r -process nuclei journal, February 2012

Advanced Monte Carlo modeling of prompt fission neutrons for thermal and fast neutron-induced fission reactions on Pu 239 journal, June 2011

The nuclear droplet model for arbitrary shapes journal, May 1974

Event-by-event evaluation of the prompt fission neutron spectrum from 239 Pu ( n , f ) journal, February 2012

Sur l'origine des alphas de scission journal, January 1976

Nuclear Properties for Astrophysical and Radioactive-Ion-Beam Applications journal, July 1997

Astromers: Nuclear Isomers in Astrophysics journal, December 2020

Induced fission modes of Fermium and Nobelium isotopes journal, September 2018

Relativistic radioactive beams: A new access to nuclear-fission studies journal, February 2000

235 U(n, f) Independent fission product yield and isomeric ratio calculated with the statistical Hauser–Feshbach theory journal, April 2018

Self-consistent calculation of the fission barrier of 240Pu journal, October 1974

Universal, Low-dimensional Shape Parametrization of Fissioning Nuclei journal, January 2015

EMPIRE: Nuclear Reaction Model Code System for Data Evaluation journal, December 2007

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

Nuclear data sensitivity, uncertainty and target accuracy assessment for future nuclear systems journal, May 2006

The TDHF code Sky3D journal, July 2014

Neutron Capture and Nuclear Constitution journal, February 1936

Calculated fission-fragment mass yields and average total kinetic energies of heavy and superheavy nuclei journal, February 2020

Integral Kramers formula for the fission rate versus dynamical modeling: The case of deformation-dependent temperature journal, July 2011

Nuclear Physics B. Nuclear Dynamics, Theoretical journal, April 1937

Angular momentum generation in nuclear fission journal, February 2021

Microscopic model for spontaneous fission: Validity of the adiabatic approximation journal, June 2020

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

Semi-classical nuclear properties from effective interactions journal, September 1986

Unitary evolution with fluctuations and dissipation journal, July 2019

Shape Coexistence Effects of Super- and Hyperdeformed Configurations in Rotating Nuclei II. Nuclei with 42 ≤ Z ≤ 56 and 74 ≤ Z ≤ 92 journal, January 1995

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

Non-Markovian fission rate within the Kramers model journal, August 2015

Langevin description of fusion, deep-inelastic collisions and heavy-ion-induced fission journal, January 1998

Nuclear Ground-State Masses and Deformations journal, March 1995

Nuclear ground-state masses and deformations: FRDM(2012) journal, May 2016

Scission neutrons for U, Pu, Cm, and Cf isotopes: Relative multiplicities calculated in the sudden limit journal, February 2016

Systematics of fission barriers in superheavy elements journal, January 2004

Portable fast-neutron radiography with the nuclear materials identification system for fissile material transfers journal, August 2007

Three Fragment Fission journal, December 1971

Transitions between symmetric and asymmetric modes in the region of heavy actinides journal, January 2018

Monte Carlo approach to sequential γ-ray emission from fission fragments journal, January 2006

Temperature dependence of shell corrections
journal, May 2018

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

Quasiparticle random phase approximation predictions of the gamma-ray strength functions using the Gogny force
journal, January 2017

Fission barriers and the inclusion of axial asymmetry
journal, March 1972

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

Generation of Fragment Angular Momentum in Fission
journal, August 2021

Secondary fission barriers in even-even actinide nuclei
journal, March 2012

A method to calculate fission-fragment yields Y(Z,N) versus proton and neutron number in the Brownian shape-motion model: Application to calculations of U and Pu charge yields
journal, December 2015

Spontaneously Fissioning Isomers
journal, December 1977

The Impact of Intermediate Structure on the Average Fission Cross Sections
journal, April 2014

Modification of Hauser-Feshbach calculations by direct-reaction channel coupling
journal, January 1973

Extended optical model for fission
journal, March 2016

Number of particles in fission fragments
journal, August 2019

On the role of memory effects for dissipation and diffusion in slow collective nuclear motion
journal, June 1983

Angular Momentum Removal by Neutron and $γ$ -Ray Emissions during Fission Fragment Decays
journal, November 2021

Prompt Fission Neutrons and γ Rays
journal, April 2014

Hartree-Fock-Bogolyubov calculations with the $D 1$ effective interaction on spherical nuclei
journal, April 1980

Fission description: First steps towards a full resolution of the time-dependent Hill-Wheeler equation
journal, January 2017

Fission barriers and probabilities of spontaneous fission for elements with Z≥ 100
journal, December 2015

Fission rate and transient time with a quantum master equation
journal, December 2007

Properties of heaviest nuclei with $98 \leq Z \leq 126$ and $134 \leq N \leq 192$
journal, March 2021

Quantum Theory of Many-Particle Systems. III. Extension of the Hartree-Fock Scheme to Include Degenerate Systems and Correlation Effects
journal, March 1955

Quasi-fission — The mass-drift mode in heavy-ion reactions
journal, July 1985

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

Angular momentum of fission fragments from microscopic theory
journal, August 2021

Diabatic paths through the scission point in nuclear fission
journal, August 2019

Finite-amplitude method for collective inertia in spontaneous fission
journal, January 2021

Impact of nuclear inertia momenta on fission observables
journal, January 2018

The Inelastic Scattering of Neutrons
journal, July 1952

Angular Momentum Distribution of Fission Fragments
journal, April 2014

A new kind of natural radioactivity
journal, January 1984

Nuclear masses and deformations
journal, June 1966

Angular Momentum Effects in the Gamma-Ray De-Excitation of Fission Fragments
journal, July 1967

Langevin fluctuation-dissipation dynamics of hot nuclei: Prescission neutron multiplicities and fission probabilities
journal, May 1993

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

Rotational bands and particle-hole excitations at very high spin
journal, March 1985

Measured and simulated ${}^{252}{Cf (sf)}$ prompt neutron-photon competition
journal, April 2018

Particle number conserving shell-correction method
journal, October 2004

Nuclear hyperdeformation and the Jacobi shape transition
journal, May 2007

Shape parametrization for liquid-drop studies
journal, September 1980

Fission properties for $r$ -process nuclei
journal, February 2012

Advanced Monte Carlo modeling of prompt fission neutrons for thermal and fast neutron-induced fission reactions on ${}^{239}{Pu}$
journal, June 2011

The nuclear droplet model for arbitrary shapes
journal, May 1974

Event-by-event evaluation of the prompt fission neutron spectrum from $^{239} Pu (n, f)$
journal, February 2012

Sur l'origine des alphas de scission
journal, January 1976

Nuclear Properties for Astrophysical and Radioactive-Ion-Beam Applications
journal, July 1997

Astromers: Nuclear Isomers in Astrophysics
journal, December 2020

Induced fission modes of Fermium and Nobelium isotopes
journal, September 2018

Relativistic radioactive beams: A new access to nuclear-fission studies
journal, February 2000

²³⁵ U(n, f) Independent fission product yield and isomeric ratio calculated with the statistical Hauser–Feshbach theory
journal, April 2018

Self-consistent calculation of the fission barrier of 240Pu
journal, October 1974

Universal, Low-dimensional Shape Parametrization of Fissioning Nuclei
journal, January 2015

EMPIRE: Nuclear Reaction Model Code System for Data Evaluation
journal, December 2007

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

Nuclear data sensitivity, uncertainty and target accuracy assessment for future nuclear systems
journal, May 2006

The TDHF code Sky3D
journal, July 2014

Neutron Capture and Nuclear Constitution
journal, February 1936

Calculated fission-fragment mass yields and average total kinetic energies of heavy and superheavy nuclei
journal, February 2020

Integral Kramers formula for the fission rate versus dynamical modeling: The case of deformation-dependent temperature
journal, July 2011

Nuclear Physics B. Nuclear Dynamics, Theoretical
journal, April 1937

Angular momentum generation in nuclear fission
journal, February 2021

Microscopic model for spontaneous fission: Validity of the adiabatic approximation
journal, June 2020

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

Semi-classical nuclear properties from effective interactions
journal, September 1986

Unitary evolution with fluctuations and dissipation
journal, July 2019

Shape Coexistence Effects of Super- and Hyperdeformed Configurations in Rotating Nuclei II. Nuclei with 42 ≤ Z ≤ 56 and 74 ≤ Z ≤ 92
journal, January 1995

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

Non-Markovian fission rate within the Kramers model
journal, August 2015

Langevin description of fusion, deep-inelastic collisions and heavy-ion-induced fission
journal, January 1998

Nuclear Ground-State Masses and Deformations
journal, March 1995

Nuclear ground-state masses and deformations: FRDM(2012)
journal, May 2016

Scission neutrons for U, Pu, Cm, and Cf isotopes: Relative multiplicities calculated in the sudden limit
journal, February 2016

Systematics of fission barriers in superheavy elements
journal, January 2004

Portable fast-neutron radiography with the nuclear materials identification system for fissile material transfers
journal, August 2007

Three Fragment Fission
journal, December 1971

Transitions between symmetric and asymmetric modes in the region of heavy actinides
journal, January 2018

Monte Carlo approach to sequential γ-ray emission from fission fragments
journal, January 2006

Improved predictions of reactor antineutrino spectra
journal, May 2011

Rupture of the neck in nuclear fission
journal, November 1977

Mass parameters for large amplitude collective motion: A perturbative microscopic approach
journal, August 1999