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Title: Assessing theoretical uncertainties in fission barriers of superheavy nuclei

Abstract

Here, theoretical uncertainties in the predictions of inner fission barrier heights in superheavy elements have been investigated in a systematic way for a set of state-of-the-art covariant energy density functionals which represent major classes of the functionals used in covariant density functional theory. They differ in basic model assumptions and fitting protocols. Both systematic and statistical uncertainties have been quantified where the former turn out to be larger. Systematic uncertainties are substantial in superheavy elements and their behavior as a function of proton and neutron numbers contains a large random component. The benchmarking of the functionals to the experimental data on fission barriers in the actinides allows to reduce the systematic theoretical uncertainties for the inner fission barriers of unknown superheavy elements. However, even then they on average increase on moving away from the region where benchmarking has been performed. In addition, a comparison with the results of non-relativistic approaches is performed in order to define full systematic theoretical uncertainties over the state-of-the-art models. Even for the models benchmarked in the actinides, the difference in the inner fission barrier height of some superheavy elements reaches $5-6$ MeV. This uncertainty in the fission barrier heights will translate into huge (many tensmore » of the orders of magnitude) uncertainties in the spontaneous fission half-lives.« less

Authors:
 [1];  [1];  [1];  [2]
  1. Mississippi State Univ., Mississippi State, MS (United States)
  2. Technische Univ. Munchen, Garching (Germany)
Publication Date:
Research Org.:
Mississippi State Univ., Mississippi State, MS (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1356774
Alternate Identifier(s):
OSTI ID: 1359981
Grant/Contract Number:  
NA0002925; SC0013037
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 95; Journal Issue: 5; 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

Agbemava, S. E., Afanasjev, A. V., Ray, D., and Ring, P. Assessing theoretical uncertainties in fission barriers of superheavy nuclei. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.95.054324.
Agbemava, S. E., Afanasjev, A. V., Ray, D., & Ring, P. Assessing theoretical uncertainties in fission barriers of superheavy nuclei. United States. doi:10.1103/PhysRevC.95.054324.
Agbemava, S. E., Afanasjev, A. V., Ray, D., and Ring, P. Fri . "Assessing theoretical uncertainties in fission barriers of superheavy nuclei". United States. doi:10.1103/PhysRevC.95.054324. https://www.osti.gov/servlets/purl/1356774.
@article{osti_1356774,
title = {Assessing theoretical uncertainties in fission barriers of superheavy nuclei},
author = {Agbemava, S. E. and Afanasjev, A. V. and Ray, D. and Ring, P.},
abstractNote = {Here, theoretical uncertainties in the predictions of inner fission barrier heights in superheavy elements have been investigated in a systematic way for a set of state-of-the-art covariant energy density functionals which represent major classes of the functionals used in covariant density functional theory. They differ in basic model assumptions and fitting protocols. Both systematic and statistical uncertainties have been quantified where the former turn out to be larger. Systematic uncertainties are substantial in superheavy elements and their behavior as a function of proton and neutron numbers contains a large random component. The benchmarking of the functionals to the experimental data on fission barriers in the actinides allows to reduce the systematic theoretical uncertainties for the inner fission barriers of unknown superheavy elements. However, even then they on average increase on moving away from the region where benchmarking has been performed. In addition, a comparison with the results of non-relativistic approaches is performed in order to define full systematic theoretical uncertainties over the state-of-the-art models. Even for the models benchmarked in the actinides, the difference in the inner fission barrier height of some superheavy elements reaches $5-6$ MeV. This uncertainty in the fission barrier heights will translate into huge (many tens of the orders of magnitude) uncertainties in the spontaneous fission half-lives.},
doi = {10.1103/PhysRevC.95.054324},
journal = {Physical Review C},
issn = {2469-9985},
number = 5,
volume = 95,
place = {United States},
year = {2017},
month = {5}
}

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Cited by: 7 works
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Works referenced in this record:

Microscopic description of fission in uranium isotopes with the Gogny energy density functional
journal, May 2014


Fission barriers in actinides in covariant density functional theory: The role of triaxiality
journal, October 2010


Hyperdeformation in the cranked relativistic mean field theory: The Z = 40 58 region of the nuclear chart
journal, July 2008


r -PROCESS NUCLEOSYNTHESIS IN DYNAMICALLY EJECTED MATTER OF NEUTRON STAR MERGERS
journal, August 2011

  • Goriely, Stephane; Bauswein, Andreas; Janka, Hans-Thomas
  • The Astrophysical Journal, Vol. 738, Issue 2
  • DOI: 10.1088/2041-8205/738/2/L32

The fission barriers in Actinides and superheavy nuclei in covariant density functional theory
journal, May 2010


Synthesis of the isotopes of elements 118 and 116 in the Cf 249 and Cm 245 + Ca 48 fusion reactions
journal, October 2006


Relativistic Hartree?Bogoliubov theory: static and dynamic aspects of exotic nuclear structure
journal, April 2005


New relativistic mean-field interaction with density-dependent meson-nucleon couplings
journal, February 2005


Global dynamical correlation energies in covariant density functional theory: Cranking approximation
journal, March 2014


Relativistic mean-field interaction with density-dependent meson-nucleon vertices based on microscopical calculations
journal, November 2011


Computer program for the relativistic mean field description of the ground state properties of even-even axially deformed nuclei
journal, September 1997


A finite range pairing force for density functional theory in superfluid nuclei
journal, June 2009


Short note on relativistic Hartree Fock models for nuclei with skyrme type interactions
journal, June 1988

  • Manakos, P.; Mannel, T.
  • Zeitschrift f�r Physik A Atomic Nuclei, Vol. 330, Issue 2
  • DOI: 10.1007/BF01293400

Description of structure and properties of superheavy nuclei
journal, January 2007

  • Sobiczewski, Adam; Pomorski, Krzysztof
  • Progress in Particle and Nuclear Physics, Vol. 58, Issue 1
  • DOI: 10.1016/j.ppnp.2006.05.001

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


The effective force NL3 revisited
journal, January 2009


DIRHB—A relativistic self-consistent mean-field framework for atomic nuclei
journal, June 2014


Mean field based calculations with the Gogny force: Some theoretical tools to explore the nuclear structure
journal, May 2014


Systematics of fission barriers in superheavy elements
journal, January 2004


Heavy-element fission barriers
journal, June 2009


Cranked relativistic Hartree-Bogoliubov theory: Probing the gateway to superheavy nuclei
journal, February 2003


Super-heavy element research
journal, February 2015


Information content of a new observable: The case of the nuclear neutron skin
journal, May 2010


Neutron drip line: Single-particle degrees of freedom and pairing properties as sources of theoretical uncertainties
journal, January 2015


Pairing and rotational properties of actinides and superheavy nuclei in covariant density functional theory
journal, July 2013


Shell structure for deformed nuclear shapes
journal, September 1972


Fission half-lives of superheavy nuclei in a microscopic approach
journal, July 2012


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


Nuclear fission in covariant density functional theory
journal, January 2013


Relativistic mean field calculations with density-dependent meson-nucleon coupling
journal, September 1999


Kohn–Sham density functional inspired approach to nuclear binding
journal, June 2008


Production and Decay of the Heaviest Nuclei 1 293 , 294 17 and 1 294 18
journal, October 2012


Relativistic calculation of nuclear matter and the nuclear surface
journal, December 1977


Nuclear pairing models
journal, January 1992


Error estimates of theoretical models: a guide
journal, May 2014

  • Dobaczewski, J.; Nazarewicz, W.; Reinhard, P-G
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 7
  • DOI: 10.1088/0954-3899/41/7/074001

Covariant energy density functionals: Nuclear matter constraints and global ground state properties
journal, May 2016


Covariant density functional theory: Reexamining the structure of superheavy nuclei
journal, November 2015


Cranked relativistic Hartree–Bogoliubov theory: formalism and application to the superdeformed bands in the A∼190 region
journal, August 2000


Structure of transactinide nuclei with relativistic energy density functionals
journal, October 2013


Microscopic theory of nuclear fission: a review
journal, October 2016


Fission barriers in covariant density functional theory: Extrapolation to superheavy nuclei
journal, February 2012


Octupole deformation in the ground states of even-even nuclei: A global analysis within the covariant density functional theory
journal, April 2016


Relativistic energy density functional description of shape transitions in superheavy nuclei
journal, August 2012


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
  • DOI: 10.1103/RevModPhys.75.121

Nuclear landscape in covariant density functional theory
journal, November 2013


The Calculation of Errors by the Method of Least Squares
journal, April 1932


Equation of state of nucleon matter and neutron star structure
journal, September 1998


Relativistic nuclear energy density functionals: Adjusting parameters to binding energies
journal, September 2008


Fission barriers for even-even superheavy nuclei
journal, July 2010


Multidimensionally-constrained relativistic mean-field models and potential-energy surfaces of actinide nuclei
journal, January 2014


Relativistic mean field theory for finite nuclei
journal, February 1990


Microscopic benchmark study of triaxiality in low-lying states of 76 Kr
journal, May 2014


Dirac-Brueckner-Hartree-Fock calculations for isospin asymmetric nuclear matter based on improved approximation schemes
journal, January 2007


A theory of highly condensed matter
journal, April 1974


New parametrization for the Lagrangian density of relativistic mean field theory
journal, January 1997


Spontaneous fission modes and lifetimes of superheavy elements in the nuclear density functional theory
journal, February 2013


Shell structure of superheavy nuclei in self-consistent mean-field models
journal, August 1999


Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals
journal, December 2015


Uncertainty Quantification for Nuclear Density Functional Theory and Information Content of New Measurements
journal, March 2015


Relativistic Mean-Field Theory and Nuclear Deformation
journal, November 1987


    Works referencing / citing this record:

    Experimental survey of the production of α -decaying heavy elements in U 238 + Th 232 reactions at 7.5–6.1 MeV/nucleon
    journal, June 2018