Number of particles in fission fragments
Abstract
In current simulations of fission, the number of protons and neutrons in a given fission fragment is almost always obtained by integrating the total density of particles in the sector of space that contains the fragment. Here, the semiclassical nature of this procedure and the antisymmetry of the many-body wave function of the whole nucleus systematically leads to noninteger numbers of particles in the fragment.
- Authors:
-
[1];
[1]
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1571598
- Alternate Identifier(s):
- OSTI ID: 1556835; OSTI ID: 1557935
- Report Number(s):
- LA-UR-19-23416; LLNL-JRNL-760851
Journal ID: ISSN 2469-9985; PRVCAN; TRN: US2100105
- Grant/Contract Number:
- 89233218CNA000001; AC52-07NA27344
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 2; 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
Verriere, Marc Hugo, Schunck, Nicolas, and Kawano, Toshihiko. Number of particles in fission fragments. United States: N. p., 2019.
Web. doi:10.1103/PhysRevC.100.024612.
Verriere, Marc Hugo, Schunck, Nicolas, & Kawano, Toshihiko. Number of particles in fission fragments. United States. https://doi.org/10.1103/PhysRevC.100.024612
Verriere, Marc Hugo, Schunck, Nicolas, and Kawano, Toshihiko. Mon .
"Number of particles in fission fragments". United States. https://doi.org/10.1103/PhysRevC.100.024612. https://www.osti.gov/servlets/purl/1571598.
@article{osti_1571598,
title = {Number of particles in fission fragments},
author = {Verriere, Marc Hugo and Schunck, Nicolas and Kawano, Toshihiko},
abstractNote = {In current simulations of fission, the number of protons and neutrons in a given fission fragment is almost always obtained by integrating the total density of particles in the sector of space that contains the fragment. Here, the semiclassical nature of this procedure and the antisymmetry of the many-body wave function of the whole nucleus systematically leads to noninteger numbers of particles in the fragment.},
doi = {10.1103/PhysRevC.100.024612},
journal = {Physical Review C},
number = 2,
volume = 100,
place = {United States},
year = {Mon Aug 12 00:00:00 EDT 2019},
month = {Mon Aug 12 00:00:00 EDT 2019}
}
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Figures / Tables:
FIG. 1: Illustration of the partition of the space $\mathcal{V}$ into $\mathcal{V}_0$ and $\mathcal{V}_1$ using the local density. The color scale corresponds to the value of the local density associated with a Slater determinant |Φ〉. The red line separates $\mathcal{V}_0$ (to the left of the line) and $\mathcal{V}_1$ (to themore »
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Works referenced in this record:
Analysis of the total kinetic energy of fission fragments with the Langevin equation
journal, December 2017
- Usang, M. D.; Ivanyuk, F. A.; Ishizuka, C.
- Physical Review C, Vol. 96, Issue 6
Dynamical interpretation of average fission-fragment kinetic energy systematics and nuclear scission
journal, November 2005
- Nadtochy, P. N.; Adeev, G. D.
- Physical Review C, Vol. 72, Issue 5
Four-dimensional Langevin approach to low-energy nuclear fission of
journal, December 2017
- Ishizuka, Chikako; Usang, Mark D.; Ivanyuk, Fedir A.
- Physical Review C, Vol. 96, Issue 6
Microscopic approach of fission dynamics applied to fragment kinetic energy and mass distributions in
journal, February 2005
- Goutte, H.; Berger, J. F.; Casoli, P.
- Physical Review C, Vol. 71, Issue 2
Time-dependent Hartree-Fock calculations for multinucleon transfer processes in Ca+ Sn, Ca+ Pb, and Ni+ Pb reactions
journal, July 2013
- Sekizawa, Kazuyuki; Yabana, Kazuhiro
- Physical Review C, Vol. 88, Issue 1
FELIX-2.0: New version of the finite element solver for the time dependent generator coordinate method with the Gaussian overlap approximation
journal, April 2018
- Regnier, D.; Dubray, N.; Verrière, M.
- Computer Physics Communications, Vol. 225
Langevin model of low-energy fission
journal, September 2017
- Sierk, Arnold J.
- Physical Review C, Vol. 96, Issue 3
Fission rate in multi-dimensional Langevin calculations
journal, June 2007
- Nadtochy, P. N.; Kelić, A.; Schmidt, K. -H.
- Physical Review C, Vol. 75, Issue 6
Collective aspects deduced from time-dependent microscopic mean-field with pairing: Application to the fission process
journal, September 2015
- Tanimura, Yusuke; Lacroix, Denis; Scamps, Guillaume
- Physical Review C, Vol. 92, Issue 3
Fission dynamics within time-dependent Hartree-Fock: Deformation-induced fission
journal, November 2015
- Goddard, Philip; Stevenson, Paul; Rios, Arnau
- Physical Review C, Vol. 92, Issue 5
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
- Möller, Peter; Ichikawa, Takatoshi
- The European Physical Journal A, Vol. 51, Issue 12
Geometrical Relationships of Macroscopic Nuclear Physics
book, January 1988
- Hasse, Rainer W.; Myers, William D.
- Springer Series in Nuclear and Particle Physics
Mass and kinetic energy distributions of fission fragments using the time dependent generator coordinate method
journal, April 2004
- Goutte, H.; Casoli, P.; Berger, J. -F.
- Nuclear Physics A, Vol. 734
Microscopic study of induced fission dynamics of with covariant energy density functionals
journal, August 2017
- Tao, H.; Zhao, J.; Li, Z. P.
- Physical Review C, Vol. 96, Issue 2
Superfluid dynamics of fission
journal, July 2015
- Scamps, Guillaume; Simenel, Cédric; Lacroix, Denis
- Physical Review C, Vol. 92, Issue 1
Effects of microscopic transport coefficients on fission observables calculated by the Langevin equation
journal, October 2016
- Usang, M. D.; Ivanyuk, F. A.; Ishizuka, C.
- Physical Review C, Vol. 94, Issue 4
Langevin description of fusion, deep-inelastic collisions and heavy-ion-induced fission
journal, January 1998
- Fröbrich, P.; Gontchar, I. I.
- Physics Reports, Vol. 292, Issue 3-4
Nuclear ground-state masses and deformations: FRDM(2012)
journal, May 2016
- Möller, P.; Sierk, A. J.; Ichikawa, T.
- Atomic Data and Nuclear Data Tables, Vol. 109-110
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
Pairing correlations and particle-number projection methods
journal, October 2002
- Sheikh, J. A.; Ring, P.; Lopes, E.
- Physical Review C, Vol. 66, Issue 4
Brownian Shape Motion on Five-Dimensional Potential-Energy Surfaces:Nuclear Fission-Fragment Mass Distributions
journal, March 2011
- Randrup, Jørgen; Möller, Peter
- Physical Review Letters, Vol. 106, Issue 13
Minimal nuclear energy density functional
journal, April 2018
- Bulgac, Aurel; Forbes, Michael McNeil; Jin, Shi
- Physical Review C, Vol. 97, Issue 4
On stochastic approaches of nuclear dynamics
journal, October 1996
- Abe, Y.; Ayik, S.; Reinhard, P. -G.
- Physics Reports, Vol. 275, Issue 2-3
Comparative study of the fragments' mass and energy characteristics in the spontaneous fussion of 238Pu, 240Pu and 242Pu and in the thermal-neutron-induced fission of 239Pu
journal, August 1992
- Schillebeeckx, P.; Wagemans, C.; Deruytter, A. J.
- Nuclear Physics A, Vol. 545, Issue 3
Further studies in the liquid-drop theory on nuclear fission
journal, June 1969
- Rayford Nix, James
- Nuclear Physics A, Vol. 130, Issue 2
Microscopic study of the U system and anomalous pair production
journal, June 1990
- Berger, J. F.; Anderson, J. D.; Bonche, P.
- Physical Review C, Vol. 41, Issue 6
Microscopic analysis of collective dynamics in low energy fission
journal, October 1984
- Berger, J. F.; Girod, M.; Gogny, D.
- Nuclear Physics A, Vol. 428
Nuclear shape evolution based on microscopic level densities
journal, February 2017
- Ward, D. E.; Carlsson, B. G.; Døssing, T.
- Physical Review C, Vol. 95, Issue 2
Microscopic modeling of mass and charge distributions in the spontaneous fission of
journal, January 2016
- Sadhukhan, Jhilam; Nazarewicz, Witold; Schunck, Nicolas
- Physical Review C, Vol. 93, Issue 1
Measurement of Fragment Mass Dependent Kinetic Energy and Neutron Multiplicity for Thermal Neutron Induced Fission of Plutonium-239
journal, May 1995
- Nishio, Katsuhisa; Nakagome, Yoshihiro; Kanno, Ikuo
- Journal of Nuclear Science and Technology, Vol. 32, Issue 5
Independent fission yields studied based on Langevin equation
journal, November 2015
- Aritomo, Yoshihiro; Chiba, Satoshi; Nishio, Katsuhisa
- Progress in Nuclear Energy, Vol. 85
Description of induced nuclear fission with Skyrme energy functionals: Static potential energy surfaces and fission fragment properties
journal, November 2014
- Schunck, N.; Duke, D.; Carr, H.
- Physical Review C, Vol. 90, Issue 5
Microscopic Phase-Space Exploration Modeling of Spontaneous Fission
journal, April 2017
- Tanimura, Yusuke; Lacroix, Denis; Ayik, Sakir
- Physical Review Letters, Vol. 118, Issue 15
FELIX-1.0: A finite element solver for the time dependent generator coordinate method with the Gaussian overlap approximation
journal, March 2016
- Regnier, D.; Verrière, M.; Dubray, N.
- Computer Physics Communications, Vol. 200
Sign of the overlap of Hartree-Fock-Bogoliubov wave functions
journal, February 2009
- Robledo, L. M.
- Physical Review C, Vol. 79, Issue 2
Particle Transfer Reactions with the Time-Dependent Hartree-Fock Theory Using a Particle Number Projection Technique
journal, November 2010
- Simenel, Cédric
- Physical Review Letters, Vol. 105, Issue 19
Four-dimensional Langevin dynamics of heavy-ion-induced fission
journal, June 2012
- Nadtochy, P. N.; Ryabov, E. G.; Gegechkori, A. E.
- Physical Review C, Vol. 85, Issue 6
From asymmetric to symmetric fission in the fermium isotopes within the time-dependent generator-coordinate-method formalism
journal, February 2019
- Regnier, D.; Dubray, N.; Schunck, N.
- Physical Review C, Vol. 99, Issue 2
Microscopic theory of nuclear fission: a review
journal, October 2016
- Schunck, N.; Robledo, L. M.
- Reports on Progress in Physics, Vol. 79, Issue 11
Microscopic self-consistent description of induced fission dynamics: Finite-temperature effects
journal, January 2019
- Zhao, Jie; Nikšić, Tamara; Vretenar, Dario
- Physical Review C, Vol. 99, Issue 1
Microscopic description of nuclear fission dynamics
journal, May 2010
- Umar, A. S.; Oberacker, V. E.; Maruhn, J. A.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 6
Fission dynamics within time-dependent Hartree-Fock. II. Boost-induced fission
journal, January 2016
- Goddard, Philip; Stevenson, Paul; Rios, Arnau
- Physical Review C, Vol. 93, Issue 1
Energy dependence of fission-fragment mass distributions from strongly damped shape evolution
journal, December 2013
- Randrup, J.; Möller, P.
- Physical Review C, Vol. 88, Issue 6
Effect of pairing on one- and two-nucleon transfer below the Coulomb barrier: A time-dependent microscopic description
journal, January 2013
- Scamps, Guillaume; Lacroix, Denis
- Physical Review C, Vol. 87, Issue 1
Induced Fission of within a Real-Time Microscopic Framework
journal, March 2016
- Bulgac, Aurel; Magierski, Piotr; Roche, Kenneth J.
- Physical Review Letters, Vol. 116, Issue 12
Axially deformed solution of the Skyrme–Hartree–Fock–Bogolyubov equations using the transformed harmonic oscillator basis. The program HFBTHO (v1.66p)
journal, April 2005
- Stoitsov, M. V.; Dobaczewski, J.; Nazarewicz, W.
- Computer Physics Communications, Vol. 167, Issue 1
Nuclear Scission and Quantum Localization
journal, September 2011
- Younes, W.; Gogny, D.
- Physical Review Letters, Vol. 107, Issue 13
Formation and dynamics of fission fragments
journal, March 2014
- Simenel, C.; Umar, A. S.
- Physical Review C, Vol. 89, Issue 3
Calculation of Fission Barriers for Heavy and Superheavy Nuclei
journal, December 1972
- Nix, J. R.
- Annual Review of Nuclear Science, Vol. 22, Issue 1
Fission-fragment mass distributions from strongly damped shape evolution
journal, September 2011
- Randrup, J.; Möller, P.; Sierk, A. J.
- Physical Review C, Vol. 84, Issue 3
Fission dynamics of
journal, May 2017
- Zdeb, A.; Dobrowolski, A.; Warda, M.
- Physical Review C, Vol. 95, Issue 5
Particle-number projection and the density functional theory
journal, November 2007
- Dobaczewski, J.; Stoitsov, M. V.; Nazarewicz, W.
- Physical Review C, Vol. 76, Issue 5
Role of saddle-to-scission dynamics in fission fragment mass distribution
journal, October 2011
- Sadhukhan, Jhilam; Pal, Santanu
- Physical Review C, Vol. 84, Issue 4
Particle number projection with effective forces
journal, December 2001
- Anguiano, M.; Egido, J. L.; Robledo, L. M.
- Nuclear Physics A, Vol. 696, Issue 3-4
Measurement of Fragment Mass Dependent Kinetic Energy and Neutron Multiplicity for Thermal Neutron Induced Fission of Plutonium-239.
journal, January 1995
- Nishio, Katsuhisa; Nakagome, Yoshihiro; Kanno, Ikuo
- Journal of Nuclear Science and Technology, Vol. 32, Issue 5
Particle-Number Projection and the Density Functional Theory
text, January 2007
- Dobaczewski, J.; Stoitsov, M. V.; Nazarewicz, W.
- arXiv
Particle transfer reactions with the time-dependent Hartree-Fock theory using a particle number projection technique
text, January 2010
- Simenel, Cédric
- arXiv
Brownian shape motion on five-dimensional potential-energy surfaces: Nuclear fission-fragment mass distributions
text, January 2011
- Randrup, Jorgen; Moller, Peter
- arXiv
Fission-fragment mass distributions from strongly damped shape evolution
text, January 2011
- Randrup, J.; Moller, P.; Sierk, A. J.
- arXiv
Effect of pairing on one- and two-nucleon transfer below the Coulomb barrier: a time-dependent microscopic description
text, January 2012
- Scamps, Guillaume; Lacroix, Denis
- arXiv
Description of Induced Nuclear Fission with Skyrme Energy Functionals: I. Static Potential Energy Surfaces and Fission Fragment Properties
text, January 2013
- Schunck, N.; Duke, D.; Carr, H.
- arXiv
Fission dynamics within time-dependent Hartree-Fock: deformation-induced fission
text, January 2015
- Goddard, P. M.; Stevenson, P. D.; Rios, A.
- arXiv
Collective aspects deduced from time-dependent microscopic mean-field with pairing: application to the fission process
text, January 2015
- Tanimura, Yusuke; Lacroix, Denis; Scamps, Guillaume
- arXiv
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
text, January 2015
- Moller, P.; Ichikawa, T.
- arXiv
Microscopic Theory of Nuclear Fission: A Review
text, January 2015
- Schunck, N.; Robledo, L. M.
- arXiv
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
FELIX-2.0: New version of the finite element solver for the time dependent generator coordinate method with the Gaussian overlap approximation
text, January 2017
- Regnier, D.; Dubray, N.; Verrière, M.
- arXiv
A Minimal Nuclear Energy Density Functional
text, January 2017
- Bulgac, Aurel; Forbes, Michael McNeil; Jin, Shi
- arXiv
Analysis of the total kinetic energy of fission fragments with the Langevin equation
text, January 2017
- Usang, Mark Dennis; Ivanyuk, Fedir; Ishizuka, Chikako
- arXiv
Microscopic self-consistent description of induced fission dynamics: finite temperature effects
text, January 2018
- Zhao, Jie; Nikšić, Tamara; Vretenar, Dario
- arXiv
Particle number projection with effective forces
text, January 2001
- Anguiano, M.; Egido, J. L.; Robledo, L. M.
- arXiv
Axially Deformed Solution of the Skyrme-Hartree-Fock-Bogolyubov Equations using The Transformed Harmonic Oscillator Basis. The program HFBTHO (v1.66p)
text, January 2004
- Stoitsov, M. V.; Dobaczewski, J.; Nazarewicz, W.
- arXiv
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