Fission barriers at the end of the chart of the nuclides
Abstract
We present calculated fission-barrier heights for 5239 nuclides for all nuclei between the proton and neutron drip lines with 171 ≤ A ≤ 330. The barriers are calculated in the macroscopic-microscopic finite-range liquid-drop (FRLDM) with a 2002 set of macroscopic-model parameters. The saddle-point energies are determined from potential-energy surfaces based on more than five million different shapes, defined by five deformation parameters in the three-quadratic-surface shape parametrization: elongation, neck diameter, left-fragment spheroidal deformation, right-fragment spheroidal deformation, and nascent-fragment mass asymmetry. The energy of the ground state is determined by calculating the lowest-energy configuration in both the Nilsson perturbed-spheroid (ϵ) and the spherical-harmonic (β) parametrizations, including axially asymmetric deformations. The lower of the two results (correcting for zero-point motion) is defined as the ground-state energy. The effect of axial asymmetry on the inner barrier peak is calculated in the (ϵ,γ) parametrization. We have earlier benchmarked our calculated barrier heights to experimentally extracted barrier parameters and found average agreement to about one MeV for known data across the nuclear chart. Here we do additional benchmarks and investigate the qualitative and, when possible, quantitative agreement and/or consistency with data on β-delayed fission, isotope generation along prompt-neutron-capture chains in nuclear-weapons tests, and superheavy-element stability.more »
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Kyoto Univ., Kyoto (Japan)
- Japan Atomic Energy Agency (JAEA), Ibaraki (Japan)
- Univ. of Notre Dame, Notre Dame, IN (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1193680
- Alternate Identifier(s):
- OSTI ID: 1180139
- Report Number(s):
- LA-UR-14-24999
Journal ID: ISSN 0556-2813; PRVCAN
- Grant/Contract Number:
- FG02-06ER41407; AC52-06NA25396; 25287065; PHY0822648
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C, Nuclear Physics
- Additional Journal Information:
- Journal Volume: 91; Journal Issue: 2; Journal ID: ISSN 0556-2813
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Möller, Peter, Sierk, Arnold J., Ichikawa, Takatoshi, Iwamoto, Akira, and Mumpower, Matthew. Fission barriers at the end of the chart of the nuclides. United States: N. p., 2015.
Web. doi:10.1103/PhysRevC.91.024310.
Möller, Peter, Sierk, Arnold J., Ichikawa, Takatoshi, Iwamoto, Akira, & Mumpower, Matthew. Fission barriers at the end of the chart of the nuclides. United States. https://doi.org/10.1103/PhysRevC.91.024310
Möller, Peter, Sierk, Arnold J., Ichikawa, Takatoshi, Iwamoto, Akira, and Mumpower, Matthew. Thu .
"Fission barriers at the end of the chart of the nuclides". United States. https://doi.org/10.1103/PhysRevC.91.024310. https://www.osti.gov/servlets/purl/1193680.
@article{osti_1193680,
title = {Fission barriers at the end of the chart of the nuclides},
author = {Möller, Peter and Sierk, Arnold J. and Ichikawa, Takatoshi and Iwamoto, Akira and Mumpower, Matthew},
abstractNote = {We present calculated fission-barrier heights for 5239 nuclides for all nuclei between the proton and neutron drip lines with 171 ≤ A ≤ 330. The barriers are calculated in the macroscopic-microscopic finite-range liquid-drop (FRLDM) with a 2002 set of macroscopic-model parameters. The saddle-point energies are determined from potential-energy surfaces based on more than five million different shapes, defined by five deformation parameters in the three-quadratic-surface shape parametrization: elongation, neck diameter, left-fragment spheroidal deformation, right-fragment spheroidal deformation, and nascent-fragment mass asymmetry. The energy of the ground state is determined by calculating the lowest-energy configuration in both the Nilsson perturbed-spheroid (ϵ) and the spherical-harmonic (β) parametrizations, including axially asymmetric deformations. The lower of the two results (correcting for zero-point motion) is defined as the ground-state energy. The effect of axial asymmetry on the inner barrier peak is calculated in the (ϵ,γ) parametrization. We have earlier benchmarked our calculated barrier heights to experimentally extracted barrier parameters and found average agreement to about one MeV for known data across the nuclear chart. Here we do additional benchmarks and investigate the qualitative and, when possible, quantitative agreement and/or consistency with data on β-delayed fission, isotope generation along prompt-neutron-capture chains in nuclear-weapons tests, and superheavy-element stability. In addition these studies all indicate that the model is realistic at considerable distances in Z and N from the region of nuclei where its parameters were determined.},
doi = {10.1103/PhysRevC.91.024310},
journal = {Physical Review C, Nuclear Physics},
number = 2,
volume = 91,
place = {United States},
year = {Thu Feb 12 00:00:00 EST 2015},
month = {Thu Feb 12 00:00:00 EST 2015}
}
Web of Science
Works referenced in this record:
Hyperdeformations and clustering in the actinide nuclei
journal, February 1994
- Ćwiok, S.; Nazarewicz, W.; Saladin, J. X.
- Physics Letters B, Vol. 322, Issue 4
Effect of Non-Axial Deformations of Higher Multipolarity on the Fission-Barrier Height of Heaviest Nuclei
journal, April 2010
- Sobiczewski, A.; Jachimowicz, P.; Kowal, M.
- International Journal of Modern Physics E, Vol. 19, Issue 04
The congruence energy: a contribution to nuclear masses, deformation energies and fission barriers
journal, January 1997
- Myers, W. D.; Swiatecki, W. J.
- Nuclear Physics A, Vol. 612, Issue 2
Numerical search of discontinuities in self-consistent potential energy surfaces
journal, October 2012
- Dubray, N.; Regnier, D.
- Computer Physics Communications, Vol. 183, Issue 10
Errata: Spontaneous fission half-lives for ground-state nuclides
journal, July 2001
- Holden, N. E.; Hoffman, D. C.
- Pure and Applied Chemistry, Vol. 73, Issue 7
Single-particle energies, wave functions, quadrupole moments and g-factors in an axially deformed woods-saxon potential with applications to the two-centre-type nuclear problems
journal, September 1987
- Cwiok, S.; Dudek, J.; Nazarewicz, W.
- Computer Physics Communications, Vol. 46, Issue 3
Five-dimensional potential-energy surfaces and coexisting fission modes in heavy nuclei
conference, January 2001
- Möller, Peter
- Tours symposium on nuclear physics IV, AIP Conference Proceedings
Nuclear Ground-State Masses and Deformations
journal, March 1995
- Moller, P.; Nix, J. R.; Myers, W. D.
- Atomic Data and Nuclear Data Tables, Vol. 59, Issue 2, p. 185-381
A dynamic analysis of spontaneous-fission half-lives
journal, May 1981
- Baran, Andrzej; Pomorski, Krzysztof; Lukasiak, Andrzej
- Nuclear Physics A, Vol. 361, Issue 1
Nuclear deformation energy curves with the constrained Hartree-Fock method
journal, March 1973
- Flocard, H.; Quentin, P.; Kerman, A. K.
- Nuclear Physics A, Vol. 203, Issue 3
Calculated fission properties of the heaviest elements
journal, July 1987
- Möller, P.; Nix, J. R.; Swiatecki, W. J.
- Nuclear Physics A, Vol. 469, Issue 1
Exploring the stability of super heavy elements: First Measurement of the Fission Barrier of 254 No
journal, January 2014
- Henning, G.; Lopez-Martens, A.; Khoo, T. L.
- EPJ Web of Conferences, Vol. 66
Average nuclear properties
journal, December 1969
- Myers, William D.; Swiatecki, W. J.
- Annals of Physics, Vol. 55, Issue 3
Disintegration of Uranium by Neutrons: a New Type of Nuclear Reaction
journal, February 1939
- Meitner, Lise; Frisch, O. R.
- Nature, Vol. 143, Issue 3615
Calculated ground-state properties of heavy nuclei
journal, September 1974
- Möller, P.; Nilsson, S. G.; Nix, J. R.
- Nuclear Physics A, Vol. 229, Issue 2
Physical Evidence for the Division of Heavy Nuclei under Neutron Bombardment
journal, February 1939
- Frisch, O. R.
- Nature, Vol. 143, Issue 3616
Spontaneous fission half-lives for ground-state nuclide (Technical report)
journal, January 2000
- Holden, Norman E.; Hoffman, Darleane C.
- Pure and Applied Chemistry, Vol. 72, Issue 8
Nuclear Properties for Astrophysical and Radioactive-Ion-Beam Applications
journal, July 1997
- MÖLler, P.; Nix, J. R.; Kratz, K. -L.
- Atomic Data and Nuclear Data Tables, Vol. 66, Issue 2
Fission-barrier heights of neutron-deficient mercury nuclei
journal, August 2012
- Veselský, M.; Andreyev, A. N.; Antalic, S.
- Physical Review C, Vol. 86, Issue 2
Theoretical predictions of fission half-lives of elements with Z between 92 and 106
journal, December 1973
- Randrup, J.; Tsang, C. F.; Möller, P.
- Nuclear Physics A, Vol. 217, Issue 2
Fragment-Shell Influences in Nuclear Fission
journal, December 1971
- Mosel, Ulrich; Schmitt, H. W.
- Physical Review C, Vol. 4, Issue 6
The fission barrier and odd-multipole shape distortions
journal, March 1970
- Möller, P.; Nilsson, S. G.
- Physics Letters B, Vol. 31, Issue 5
Shell effects in the properties of the heaviest nuclei
journal, January 1989
- Patyk, Zygmunt; Sobiczewski, Adam; Armbruster, Peter
- Nuclear Physics A, Vol. 491, Issue 2
On the nuclear structure and stability of heavy and superheavy elements
journal, June 1969
- Nilsson, Sven Gösta; Tsang, Chin Fu; Sobiczewski, Adam
- Nuclear Physics A, Vol. 131, Issue 1
Nuclear mass formula with a Yukawa-plus-exponential macroscopic model and a folded-Yukawa single-particle potential
journal, May 1981
- Möller, Peter; Nix, J. Rayford
- Nuclear Physics A, Vol. 361, Issue 1
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
Calculation of fission barriers with the droplet model and folded Yukawa single-particle potential
journal, September 1974
- Möller, P.; Nix, J. R.
- Nuclear Physics A, Vol. 229, Issue 2
Heavy-element fission barriers
journal, June 2009
- Möller, Peter; Sierk, Arnold J.; Ichikawa, Takatoshi
- Physical Review C, Vol. 79, Issue 6
Realistic fission saddle-point shapes
journal, March 2000
- Möller, P.; Iwamoto, A.
- Physical Review C, Vol. 61, Issue 4
New Spontaneous Fission Mode for : Indication of Hyperdeformed at Scission
journal, July 1996
- Ter-Akopian, G. M.; Hamilton, J. H.; Oganessian, Yu. Ts.
- Physical Review Letters, Vol. 77, Issue 1
Secondary fission barriers in even-even actinide nuclei
journal, March 2012
- Jachimowicz, P.; Kowal, M.; Skalski, J.
- Physical Review C, Vol. 85, Issue 3
New Calculation of Fission Barriers for Heavy and Superheavy Nuclei
journal, March 1972
- Bolsterli, M.; Fiset, E. O.; Nix, J. R.
- Physical Review C, Vol. 5, Issue 3
Unified nuclear potential for heavy-ion elastic scattering, fusion, fission, and ground-state masses and deformations
journal, September 1979
- Krappe, H. J.; Nix, J. R.; Sierk, A. J.
- Physical Review C, Vol. 20, Issue 3
Nuclear masses and deformations
journal, June 1966
- Myers, William D.; Swiatecki, Wladyslaw J.
- Nuclear Physics, Vol. 81, Issue 2
Effect of viscosity on the dynamics of fission
journal, June 1976
- Davies, K. T. R.; Sierk, A. J.; Nix, J. R.
- Physical Review C, Vol. 13, Issue 6
The Mechanism of Nuclear Fission
journal, September 1939
- Bohr, Niels; Wheeler, John Archibald
- Physical Review, Vol. 56, Issue 5
�ber den Nachweis und das Verhalten der bei der Bestrahlung des Urans mittels Neutronen entstehenden Erdalkalimetalle
journal, January 1939
- Hahn, O.; Strassmann, F.
- Die Naturwissenschaften, Vol. 27, Issue 1
Nuclear Physics A. Stationary States of Nuclei
journal, April 1936
- Bethe, H. A.; Bacher, R. F.
- Reviews of Modern Physics, Vol. 8, Issue 2
New developments in the calculation of heavy-element fission barriers
journal, February 1989
- Möller, P.; Nix, J. R.; Swiatecki, W. J.
- Nuclear Physics A, Vol. 492, Issue 3
Five-Dimensional Fission-Barrier Calculations from to
journal, February 2004
- Möller, Peter; Sierk, Arnold J.; Iwamoto, Akira
- Physical Review Letters, Vol. 92, Issue 7
Nuclear pairing models
journal, January 1992
- Möller, P.; Nix, J. R.
- Nuclear Physics A, Vol. 536, Issue 1
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
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
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
High resolution fission probabilities for 229, 230, 232Th(d pf) and 233, 236U(d, pf) reactions
journal, February 1988
- Blons, J.; Fabbro, B.; Mazur, C.
- Nuclear Physics A, Vol. 477, Issue 2
Character and prevalence of third minima in actinide fission barriers
journal, May 2013
- Ichikawa, Takatoshi; Möller, Peter; Sierk, Arnold J.
- Physical Review C, Vol. 87, Issue 5
Hyperdeformed sub-barrier fission resonances observed in
journal, July 2009
- Csige, L.; Csatlós, M.; Faestermann, T.
- Physical Review C, Vol. 80, Issue 1
Transmission resonance spectroscopy in the third minimum of Pa
journal, May 2012
- Csige, L.; Csatlós, M.; Faestermann, T.
- Physical Review C, Vol. 85, Issue 5
Exploring the multihumped fission barrier of U via sub-barrier photofission
journal, April 2013
- Csige, L.; Filipescu, D. M.; Glodariu, T.
- Physical Review C, Vol. 87, Issue 4
Colloquium : Beta-delayed fission of atomic nuclei
journal, October 2013
- Andreyev, Andrei N.; Huyse, Mark; Van Duppen, Piet
- Reviews of Modern Physics, Vol. 85, Issue 4
Systematics of Spontaneous Fission Half-Lives
journal, November 1955
- Swiatecki, W. J.
- Physical Review, Vol. 100, Issue 3
Spontaneous-fission half-lives for even nuclei with
journal, January 1976
- Randrup, J.; Larsson, S. E.; Möller, P.
- Physical Review C, Vol. 13, Issue 1
Microscopic description of complex nuclear decay: Multimodal fission
journal, July 2009
- Staszczak, A.; Baran, A.; Dobaczewski, J.
- Physical Review C, Vol. 80, Issue 1
Fission half Lives of Fermium Isotopes Within Skyrme Hartree-Fock-Bogoliubov Theory
journal, February 2011
- Baran, A.; Staszczak, A.; Nazarewicz, W.
- International Journal of Modern Physics E, Vol. 20, Issue 02
Fission of doubly even actinide nuclei induced by direct reactions
journal, May 1974
- Back, B. B.; Hansen, Ole; Britt, H. C.
- Physical Review C, Vol. 9, Issue 5
Fission of odd- and doubly odd actinide nuclei induced by direct reactions
journal, November 1974
- Back, B. B.; Britt, H. C.; Hansen, Ole
- Physical Review C, Vol. 10, Issue 5
The double-humped fission barrier
journal, October 1980
- Bjørnholm, S.; Lynn, J. E.
- Reviews of Modern Physics, Vol. 52, Issue 4
Nuclear masses and deformations
journal, June 1966
- Myers, William D.; Swiatecki, Wladyslaw J.
- Nuclear Physics, Vol. 81, Issue 1
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
Exploring the multi-humped fission barrier of 238U via sub-barrier photofission
text, January 2013
- Csige, L.; Filipescu, D. M.; Glodariu, T.
- arXiv
Nuclear Ground-State Masses and Deformations
text, January 1993
- Möller, P.; Nix, J. R.; Myers, W. D.
- arXiv
Works referencing / citing this record:
Eighty Years of Research on Super-Heavy Nuclei
book, November 2016
- Hofmann, Sigurd
- New Horizons in Fundamental Physics
Spontaneous fission properties of superheavy elements
journal, April 2017
- Heßberger, F. P.
- The European Physical Journal A, Vol. 53, Issue 4
-delayed fission of
journal, October 2017
- Wilson, G. L.; Takeyama, M.; Andreyev, A. N.
- Physical Review C, Vol. 96, Issue 4
Super-heavy nuclei
journal, October 2015
- Hofmann, Sigurd
- Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 11
The total kinetic energy release in the fast neutron-induced fission of 232Th
journal, December 2017
- King, Jonathan; Yanez, Ricardo; Loveland, Walter
- The European Physical Journal A, Vol. 53, Issue 12
Californium-254 and Kilonova Light Curves
journal, August 2018
- Zhu, Y.; Wollaeger, R. T.; Vassh, N.
- The Astrophysical Journal, Vol. 863, Issue 2
Reverse engineering nuclear properties from rare earth abundances in the r process
journal, February 2017
- Mumpower, M. R.; McLaughlin, G. C.; Surman, R.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 3
Actinide Production in the Neutron-rich Ejecta of a Neutron Star Merger
journal, December 2018
- Holmbeck, Erika M.; Sprouse, Trevor M.; Mumpower, Matthew R.
- The Astrophysical Journal, Vol. 870, Issue 1
Remarks on the fission barriers of super-heavy nuclei
journal, April 2016
- Hofmann, S.; Heinz, S.; Mann, R.
- The European Physical Journal A, Vol. 52, Issue 4
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
Fission and quasifission toward the superheavy mass region
journal, August 2019
- Vardaci, E.; Itkis, M. G.; Itkis, I. M.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 10
Review of even element super-heavy nuclei and search for element 120
journal, June 2016
- Hofmann, S.; Heinz, S.; Mann, R.
- The European Physical Journal A, Vol. 52, Issue 6
Actinide-rich and Actinide-poor r -process-enhanced Metal-poor Stars Do Not Require Separate r -process Progenitors
journal, August 2019
- Holmbeck, Erika M.; Frebel, Anna; McLaughlin, G. C.
- The Astrophysical Journal, Vol. 881, Issue 1
Using excitation-energy dependent fission yields to identify key fissioning nuclei in r -process nucleosynthesis
journal, April 2019
- Vassh, N.; Vogt, R.; Surman, R.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 6
Nuclear fission: a review of experimental advances and phenomenology
journal, November 2017
- Andreyev, A. N.; Nishio, K.; Schmidt, K-H
- Reports on Progress in Physics, Vol. 81, Issue 1
Eighty years of research on super-heavy nuclei
journal, January 2018
- Hofmann, Sigurd
- EPJ Web of Conferences, Vol. 182
Fission and Quasifission Toward the Superheavy Mass Region
conference, December 2019
- Vardaci, E.; Itkis, M. G.; Itkis, I. M.
- International Symposium on Exotic Nuclei EXON-2018
Adiabatic fission barriers in superheavy nuclei
text, January 2016
- Jachimowicz, P.; Kowal, M.; Skalski, J.
- arXiv
Reverse engineering nuclear properties from rare earth abundances in the $r$ process
text, January 2016
- Mumpower, M. R.; McLaughlin, G. C.; Surman, R.
- arXiv
Fission properties of superheavy nuclei for r-process calculations
text, January 2017
- Giuliani, Samuel A.; Martinez-Pinedo, Gabriel; Robledo, Luis M.
- arXiv
Californium-254 and kilonova light curves
text, January 2018
- Zhu, Y.; Wollaeger, R. T.; Vassh, N.
- arXiv
Cluster Radioactivity in Super Heavy Nuclei
text, January 2018
- Warda, M.; Zdeb, A.; Robledo, L. M.
- arXiv
Using excitation-energy dependent fission yields to identify key fissioning nuclei in r-process nucleosynthesis
text, January 2018
- Vassh, Nicole; Vogt, Ramona; Surman, Rebecca
- arXiv
Actinide-rich and Actinide-poor $r$-Process Enhanced Metal-Poor Stars do not Require Separate $r$-Process Progenitors
text, January 2019
- Holmbeck, Erika M.; Frebel, Anna; McLaughlin, G. C.
- arXiv