Nucleon localization and fragment formation in nuclear fission
Abstract
An electron localization measure was originally introduced to characterize chemical bond structures in molecules. Recently, a nucleon localization based on Hartree-Fock densities has been introduced to investigate α-cluster structures in light nuclei. Compared to the local nucleonic densities, the nucleon localization function has been shown to be an excellent indicator of shell effects and cluster correlations. In this work, using the spatial nucleon localization measure, we investigated the emergence of fragments in fissioning heavy nuclei using the self-consistent energy density functional method with a quantified energy density functional optimized for fission studies. We studied the particle densities and spatial nucleon localization distributions along the fission pathways of 264Fm, 232Th, and 240Pu. We demonstrated that the fission fragments were formed fairly early in the evolution, well before scission. To illustrate the usefulness of the localization measure, we showed how the hyperdeformed state of 232Th could be understood in terms of a quasimolecular state made of 132Sn and 100Zr fragments. Compared to nucleonic distributions, the nucleon localization function more effectively quantifies nucleonic clustering: its characteristic oscillating pattern, traced back to shell effects, is a clear fingerprint of cluster/fragment configurations. This is of particular interest for studies of fragment formation and fragment identificationmore »
- Authors:
-
- Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Lab., Facility for Rare Isotope Beams (NSCL/FRIB)
- Michigan State Univ., East Lansing, MI (United States). Facility for Rare Isotope Beams (FRIB), Dept. of Physics and Astronomy; Univ. of Warsaw (Poland). Inst. of Theoretical Physics
- Publication Date:
- Research Org.:
- Michigan State Univ., East Lansing, MI (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC)
- OSTI Identifier:
- 1358654
- Alternate Identifier(s):
- OSTI ID: 1338107
- Grant/Contract Number:
- NA0002847; SC0013365; SC0008511
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 94; Journal Issue: 6; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Zhang, C. L., Schuetrumpf, B., and Nazarewicz, W. Nucleon localization and fragment formation in nuclear fission. United States: N. p., 2016.
Web. doi:10.1103/PhysRevC.94.064323.
Zhang, C. L., Schuetrumpf, B., & Nazarewicz, W. Nucleon localization and fragment formation in nuclear fission. United States. https://doi.org/10.1103/PhysRevC.94.064323
Zhang, C. L., Schuetrumpf, B., and Nazarewicz, W. Tue .
"Nucleon localization and fragment formation in nuclear fission". United States. https://doi.org/10.1103/PhysRevC.94.064323. https://www.osti.gov/servlets/purl/1358654.
@article{osti_1358654,
title = {Nucleon localization and fragment formation in nuclear fission},
author = {Zhang, C. L. and Schuetrumpf, B. and Nazarewicz, W.},
abstractNote = {An electron localization measure was originally introduced to characterize chemical bond structures in molecules. Recently, a nucleon localization based on Hartree-Fock densities has been introduced to investigate α-cluster structures in light nuclei. Compared to the local nucleonic densities, the nucleon localization function has been shown to be an excellent indicator of shell effects and cluster correlations. In this work, using the spatial nucleon localization measure, we investigated the emergence of fragments in fissioning heavy nuclei using the self-consistent energy density functional method with a quantified energy density functional optimized for fission studies. We studied the particle densities and spatial nucleon localization distributions along the fission pathways of 264Fm, 232Th, and 240Pu. We demonstrated that the fission fragments were formed fairly early in the evolution, well before scission. To illustrate the usefulness of the localization measure, we showed how the hyperdeformed state of 232Th could be understood in terms of a quasimolecular state made of 132Sn and 100Zr fragments. Compared to nucleonic distributions, the nucleon localization function more effectively quantifies nucleonic clustering: its characteristic oscillating pattern, traced back to shell effects, is a clear fingerprint of cluster/fragment configurations. This is of particular interest for studies of fragment formation and fragment identification in fissioning nuclei.},
doi = {10.1103/PhysRevC.94.064323},
journal = {Physical Review C},
number = 6,
volume = 94,
place = {United States},
year = {Tue Dec 27 00:00:00 EST 2016},
month = {Tue Dec 27 00:00:00 EST 2016}
}
Web of Science
Works referenced in this record:
Ab Initio Calculation of the Spectrum and Structure of
journal, March 2014
- Epelbaum, Evgeny; Krebs, Hermann; Lähde, Timo A.
- Physical Review Letters, Vol. 112, Issue 10
Alpha clustering effects in nuclear matter
journal, November 1973
- Brink, D. M.; Castro, J. J.
- Nuclear Physics A, Vol. 216, Issue 1
Linear-chain structure of three α-clusters in 16C and 20C
journal, February 2010
- Maruhn, J. A.; Loebl, N.; Itagaki, N.
- Nuclear Physics A, Vol. 833, Issue 1-4
Density functional theory studies of cluster states in nuclei
journal, November 2014
- Ebran, J. -P.; Khan, E.; Nikšić, T.
- Physical Review C, Vol. 90, Issue 5
Relation between cluster and shell-model wave functions
journal, December 1977
- Hecht, K. T.
- Physical Review C, Vol. 16, Issue 6
The limits of the nuclear landscape
journal, June 2012
- Erler, Jochen; Birge, Noah; Kortelainen, Markus
- Nature, Vol. 486, Issue 7404
The Alpha-Particle Model of the Nucleus
journal, November 1938
- Hafstad, L. R.; Teller, E.
- Physical Review, Vol. 54, Issue 9
Pairing-induced speedup of nuclear spontaneous fission
journal, December 2014
- Sadhukhan, Jhilam; Dobaczewski, J.; Nazarewicz, W.
- Physical Review C, Vol. 90, Issue 6
Configuration Space, Cranked Hartree-Fock Calculations for the Nuclei 16O, 24Mg and 32S
journal, November 1984
- Flocard, H.; Heenen, P. H.; Krieger, S. J.
- Progress of Theoretical Physics, Vol. 72, Issue 5
Cluster structure in Monte Carlo shell model
journal, August 2013
- Yoshida, T.; Shimizu, N.; Abe, T.
- Journal of Physics: Conference Series, Vol. 454
The structure of 24Mg using the cranked cluster model
journal, November 1986
- Marsh, S.; Rae, W. D. M.
- Physics Letters B, Vol. 180, Issue 3
-Particle Clustering from Expanding Self-Conjugate Nuclei within the Hartree-Fock-Bogoliubov Approach
journal, September 2013
- Girod, M.; Schuck, P.
- Physical Review Letters, Vol. 111, Issue 13
Global performance of covariant energy density functionals: Ground state observables of even-even nuclei and the estimate of theoretical uncertainties
journal, May 2014
- Agbemava, S. E.; Afanasjev, A. V.; Ray, D.
- Physical Review C, Vol. 89, Issue 5
10th International Conference on Clustering Aspects of Nuclear Structure and Dynamics (CLUSTER'12)
journal, April 2013
- Lovas, R. G.; Dombrádi, Zs; Kiss, G. G.
- Journal of Physics: Conference Series, Vol. 436
Third minima in thorium and uranium isotopes in a self-consistent theory
journal, May 2013
- McDonnell, J. D.; Nazarewicz, W.; Sheikh, J. A.
- Physical Review C, Vol. 87, Issue 5
Cluster-liquid transition in finite, saturated fermionic systems
journal, March 2014
- Ebran, J. -P.; Khan, E.; Nikšić, T.
- Physical Review C, Vol. 89, Issue 3
Dynamical symmetries, multiclustering, and octupole susceptibility in superdeformed and hyperdeformed nuclei
journal, January 1992
- Nazarewicz, W.; Dobaczewski, J.
- Physical Review Letters, Vol. 68, Issue 2
Theoretical Evaluation of Electron Delocalization in Aromatic Molecules by Means of Atoms in Molecules (AIM) and Electron Localization Function (ELF) Topological Approaches
journal, October 2005
- Poater, Jordi; Duran, Miquel; Solà, Miquel
- Chemical Reviews, Vol. 105, Issue 10
Solution of the Skyrme–Hartree–Fock–Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis.
journal, January 2012
- Schunck, N.; Dobaczewski, J.; McDonnell, J.
- Computer Physics Communications, Vol. 183, Issue 1
On the Origin of Nuclear Clustering
journal, January 2012
- Okołowicz, Jacek; Płoszajczak, Marek; Nazarewicz, Witold
- Progress of Theoretical Physics Supplement, Vol. 196
Spontaneous fission properties of , , , , and : Bimodal fission
journal, August 1989
- Hulet, E. K.; Wild, J. F.; Dougan, R. J.
- Physical Review C, Vol. 40, Issue 2
Nuclear energy density optimization: Large deformations
journal, February 2012
- Kortelainen, M.; McDonnell, J.; Nazarewicz, W.
- Physical Review C, Vol. 85, Issue 2
Systematic study of deformed nuclei at the drip lines and beyond
journal, November 2003
- Stoitsov, M. V.; Dobaczewski, J.; Nazarewicz, W.
- Physical Review C, Vol. 68, Issue 5
Potential-energy surfaces for the doubly even N = Z nuclei
journal, February 1975
- Leander, G.; Larsson, S. E.
- Nuclear Physics A, Vol. 239, Issue 1
A new kind of natural radioactivity
journal, January 1984
- Rose, H. J.; Jones, G. A.
- Nature, Vol. 307, Issue 5948
Density functional theory: Its origins, rise to prominence, and future
journal, August 2015
- Jones, R. O.
- Reviews of Modern Physics, Vol. 87, Issue 3
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
How atomic nuclei cluster
journal, July 2012
- Ebran, J. -P.; Khan, E.; Nikšić, T.
- Nature, Vol. 487, Issue 7407
A simple measure of electron localization in atomic and molecular systems
journal, May 1990
- Becke, A. D.; Edgecombe, K. E.
- The Journal of Chemical Physics, Vol. 92, Issue 9
Nuclear clusters and nuclear molecules
journal, September 2006
- Vonoertzen, W.; Freer, M.; Kanadaenyo, Y.
- Physics Reports, Vol. 432, Issue 2
Ab initio alpha–alpha scattering
journal, December 2015
- Elhatisari, Serdar; Lee, Dean; Rupak, Gautam
- Nature, Vol. 528, Issue 7580
Computational nuclear quantum many-body problem: The UNEDF project
journal, October 2013
- Bogner, S.; Bulgac, A.; Carlson, J.
- Computer Physics Communications, Vol. 184, Issue 10
A measure of electron localizability
journal, January 2004
- Kohout, M.
- International Journal of Quantum Chemistry, Vol. 97, Issue 1
The Systematic Structure-Change into the Molecule-like Structures in the Self-Conjugate $4n$ Nuclei
journal, January 1968
- Ikeda, Kiyomi; Takigawa, Noboru; Horiuchi, Hisashi
- Progress of Theoretical Physics Supplement, Vol. E68
Time-dependent hartree-fock theory with Skyrme's interaction
journal, September 1975
- Engel, Y. M.; Brink, D. M.; Goeke, K.
- Nuclear Physics A, Vol. 249, Issue 2
Multidimensionally constrained relativistic Hartree-Bogoliubov study of spontaneous nuclear fission
journal, December 2015
- Zhao, Jie; Lu, Bing-Nan; Nikšić, Tamara
- Physical Review C, Vol. 92, Issue 6
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
Time-dependent electron localization function
journal, January 2005
- Burnus, T.; Marques, M. A. L.; Gross, E. K. U.
- Physical Review A, Vol. 71, Issue 1
Relationship between the deformed harmonic oscillator and clustering in light nuclei
journal, May 1995
- Freer, M.; Betts, R. R.; Wuosmaa, A. H.
- Nuclear Physics A, Vol. 587, Issue 1
Electron pair localization function: A practical tool to visualize electron localization in molecules from quantum Monte Carlo data
journal, July 2004
- Scemama, Anthony; Chaquin, Patrick; Caffarel, Michel
- The Journal of Chemical Physics, Vol. 121, Issue 4
The double-humped fission barrier
journal, October 1980
- Bjørnholm, S.; Lynn, J. E.
- Reviews of Modern Physics, Vol. 52, Issue 4
Localization in light nuclei
journal, March 2011
- Reinhard, P. -G.; Maruhn, J. A.; Umar, A. S.
- Physical Review C, Vol. 83, Issue 3
Formation and dynamics of fission fragments
journal, March 2014
- Simenel, C.; Umar, A. S.
- Physical Review C, Vol. 89, Issue 3
Linear Chain Structure of Four- Clusters in
journal, September 2011
- Ichikawa, T.; Maruhn, J. A.; Itagaki, N.
- Physical Review Letters, Vol. 107, Issue 11
Toward understanding the microscopic origin of nuclear clustering
journal, August 2012
- Okołowicz, J.; Nazarewicz, W.; Płoszajczak, M.
- Fortschritte der Physik, Vol. 61, Issue 2-3
Microscopic description of complex nuclear decay: Multimodal fission
journal, July 2009
- Staszczak, A.; Baran, A.; Dobaczewski, J.
- Physical Review C, Vol. 80, Issue 1
Quantum Monte Carlo methods for nuclear physics
journal, September 2015
- Carlson, J.; Gandolfi, S.; Pederiva, F.
- Reviews of Modern Physics, Vol. 87, Issue 3
Structure and Rotations of the Hoyle State
journal, December 2012
- Epelbaum, Evgeny; Krebs, Hermann; Lähde, Timo A.
- Physical Review Letters, Vol. 109, Issue 25
ELF: The Electron Localization Function
journal, September 1997
- Savin, Andreas; Nesper, Reinhard; Wengert, Steffen
- Angewandte Chemie International Edition in English, Vol. 36, Issue 17
Works referencing / citing this record:
Impact of pear-shaped fission fragments on mass-asymmetric fission in actinides
journal, December 2018
- Scamps, Guillaume; Simenel, Cédric
- Nature, Vol. 564, Issue 7736
Localization and clustering in atomic nuclei
journal, August 2017
- Ebran, J-P; Khan, E.; Nikšić, T.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 10
Cluster formation in precompound nuclei in the time-dependent framework
journal, December 2017
- Schuetrumpf, B.; Nazarewicz, W.
- Physical Review C, Vol. 96, Issue 6
Scission dynamics with partitions
journal, June 2018
- Bertsch, G. F.; Younes, W.; Robledo, L. M.
- Physical Review C, Vol. 97, Issue 6
Benchmark of the GEF code for fission-fragment yields over an enlarged range in fissioning nucleus mass, excitation energy, and angular momentum
journal, October 2018
- Schmitt, C.; Schmidt, K. -H.; Jurado, B.
- Physical Review C, Vol. 98, Issue 4
Scission Dynamics with K Partitions
text, January 2018
- Bertsch, G. F.; Younes, W.; Robledo, L. M.
- arXiv