Nuclear shape evolution based on microscopic level densities

Ward, D. E.; Carlsson, B. G.; Døssing, T.; Möller, P.; Randrup, J.; Åberg, S.

doi:10.1103/PhysRevC.95.024618

Title: Nuclear shape evolution based on microscopic level densities

Abstract

By combining microscopically calculated level densities with the Metropolis walk method, we develop a consistent framework for treating the energy and angular-momentum dependence of the nuclear shape evolution in the fission process. For each nucleus under consideration, the level density is calculated microscopically for each of more than five million shapes with a recently developed combinatorial method. The method employs the same single-particle levels as those used for the extraction of the pairing and shell contributions to the macroscopic-microscopic potential-energy surface. Containing no new parameters, the treatment is suitable for elucidating the energy dependence of the dynamics of warm nuclei on pairing and shell effects. It is illustrated for the fission fragment mass distribution for several uranium and plutonium isotopes of particular interest.

Authors:

Ward, D. E. ^[1]; Carlsson, B. G. ^[1]; Døssing, T. ^[2]; Möller, P. ^[3]; Randrup, J. ^[4]; Åberg, S. ^[1]

Lund Univ. (Sweden)
Univ. of Copenhagen (Denmark). The Niels Bohr Inst.
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Publication Date:: Mon Feb 27 00:00:00 EST 2017

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1414099

Alternate Identifier(s):: OSTI ID: 1345076; OSTI ID: 1423614

Report Number(s):: LA-UR-17-20413
Journal ID: ISSN 2469-9985; PRVCAN; TRN: US1800633

Grant/Contract Number:: AC52-06NA25396; AC02-05CH11231

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 95; 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


                    Ward, D. E., Carlsson, B. G., Døssing, T., Möller, P., Randrup, J., and Åberg, S. Nuclear shape evolution based on microscopic level densities.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevC.95.024618.

Copy to clipboard


                    Ward, D. E., Carlsson, B. G., Døssing, T., Möller, P., Randrup, J., & Åberg, S. Nuclear shape evolution based on microscopic level densities.  United States.  https://doi.org/10.1103/PhysRevC.95.024618

Copy to clipboard


                    Ward, D. E., Carlsson, B. G., Døssing, T., Möller, P., Randrup, J., and Åberg, S. Mon .  
"Nuclear shape evolution based on microscopic level densities".  United States.  https://doi.org/10.1103/PhysRevC.95.024618.  https://www.osti.gov/servlets/purl/1414099.

Copy to clipboard


                    
@article{osti_1414099,

  title        = {Nuclear shape evolution based on microscopic level densities},

  author       = {Ward, D. E. and Carlsson, B. G. and Døssing, T. and Möller, P. and Randrup, J. and Åberg, S.},

  abstractNote = {By combining microscopically calculated level densities with the Metropolis walk method, we develop a consistent framework for treating the energy and angular-momentum dependence of the nuclear shape evolution in the fission process. For each nucleus under consideration, the level density is calculated microscopically for each of more than five million shapes with a recently developed combinatorial method. The method employs the same single-particle levels as those used for the extraction of the pairing and shell contributions to the macroscopic-microscopic potential-energy surface. Containing no new parameters, the treatment is suitable for elucidating the energy dependence of the dynamics of warm nuclei on pairing and shell effects. It is illustrated for the fission fragment mass distribution for several uranium and plutonium isotopes of particular interest.},

  doi          = {10.1103/PhysRevC.95.024618},

  journal      = {Physical Review C},

  number       = 2,

  volume       = 95,

  place        = {United States},

  year         = {Mon Feb 27 00:00:00 EST 2017},

  month        = {Mon Feb 27 00:00:00 EST 2017}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1103/PhysRevC.95.024618

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 29 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Calculation of fission observables through event-by-event simulation
journal, August 2009

Randrup, Jørgen; Vogt, Ramona
Physical Review C, Vol. 80, Issue 2
DOI: 10.1103/PhysRevC.80.024601

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
DOI: 10.1103/PhysRevC.88.064606

g factors as a probe of correlated changes of the nuclear deformation and pair field in ground-state rotational bands
journal, May 1986

Bengtsson, Ragnar; Åberg, Sven
Physics Letters B, Vol. 172, Issue 3-4
DOI: 10.1016/0370-2693(86)90251-0

Calculated fission-fragment yield systematics in the region $74 \leq Z \leq 94$ and $90 \leq N \leq 150$
journal, April 2015

Möller, Peter; Randrup, Jørgen
Physical Review C, Vol. 91, Issue 4
DOI: 10.1103/PhysRevC.91.044316

Heavy-element fission barriers
journal, June 2009

Möller, Peter; Sierk, Arnold J.; Ichikawa, Takatoshi
Physical Review C, Vol. 79, Issue 6
DOI: 10.1103/PhysRevC.79.064304

Monte Carlo Hauser-Feshbach predictions of prompt fission $γ$ rays: Application to $n_{th} +^{235}$ U, $n_{th} +^{239}$ Pu, and $^{252}$ Cf (sf)
journal, January 2013

Becker, B.; Talou, P.; Kawano, T.
Physical Review C, Vol. 87, Issue 1
DOI: 10.1103/PhysRevC.87.014617

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
DOI: 10.1103/PhysRevLett.106.132503

Investigation of phenomenological models for the Monte Carlo simulation of the prompt fission neutron and $γ$ emission
journal, November 2010

Litaize, O.; Serot, O.
Physical Review C, Vol. 82, Issue 5
DOI: 10.1103/PhysRevC.82.054616

Combinatorial nuclear level-density model
journal, September 2013

Uhrenholt, H.; Åberg, S.; Dobrowolski, A.
Nuclear Physics A, Vol. 913
DOI: 10.1016/j.nuclphysa.2013.06.002

The role of seniority-zero states in nuclear level densities
journal, September 2015

Åberg, S.; Carlsson, B. G.; Døssing, Th.
Nuclear Physics A, Vol. 941
DOI: 10.1016/j.nuclphysa.2015.05.009

The statistical model and nuclear level densities
journal, October 1960

Ericson, Torleif
Advances in Physics, Vol. 9, Issue 36
DOI: 10.1080/00018736000101239

Mass distributions for monoenergetic-neutron-induced fission of ${}^{235}U$
journal, December 1981

Glendenin, L. E.; Gindler, J. E.; Henderson, D. J.
Physical Review C, Vol. 24, Issue 6
DOI: 10.1103/PhysRevC.24.2600

Nuclear Level Densities
journal, December 1972

Huizenga, J. R.; Moretto, L. G.
Annual Review of Nuclear Science, Vol. 22, Issue 1
DOI: 10.1146/annurev.ns.22.120172.002235

Particle number projection in the macroscopic–microscopic approach
journal, March 2007

Olofsson, H.; Bengtsson, R.; Möller, P.
Nuclear Physics A, Vol. 784, Issue 1-4
DOI: 10.1016/j.nuclphysa.2006.11.052

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
DOI: 10.1103/PhysRevC.84.034613

Contrasting fission potential-energy structure of actinides and mercury isotopes
journal, August 2012

Ichikawa, Takatoshi; Iwamoto, Akira; Möller, Peter
Physical Review C, Vol. 86, Issue 2
DOI: 10.1103/PhysRevC.86.024610

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

Schmidt, K. -H.; Steinhäuser, S.; Böckstiegel, C.
Nuclear Physics A, Vol. 665, Issue 3-4
DOI: 10.1016/S0375-9474(99)00384-X

Equation of State Calculations by Fast Computing Machines
journal, June 1953

Metropolis, Nicholas; Rosenbluth, Arianna W.; Rosenbluth, Marshall N.
The Journal of Chemical Physics, Vol. 21, Issue 6
DOI: 10.1063/1.1699114

Energy Dependence of Fission Product Yields from 235U, 238U and 239Pu for Incident Neutron Energies Between 0.5 and 14.8 MeV
journal, January 2016

Gooden, M. E.; Arnold, C. W.; Becker, J. A.
Nuclear Data Sheets, Vol. 131
DOI: 10.1016/j.nds.2015.12.006

Mass distributions in monoenergetic-neutron-induced fission of ${}^{239}{Pu}$
journal, May 1983

Gindler, J. E.; Glendenin, L. E.; Henderson, D. J.
Physical Review C, Vol. 27, Issue 5
DOI: 10.1103/PhysRevC.27.2058

Effects of Pair Correlations in Statistical $γ$ -Decay Spectra
journal, August 1995

Døssing, T.; Khoo, T. L.; Lauritsen, T.
Physical Review Letters, Vol. 75, Issue 7
DOI: 10.1103/PhysRevLett.75.1276

Calculated fission yields of neutron-deficient mercury isotopes
journal, February 2012

Möller, Peter; Randrup, Jørgen; Sierk, Arnold J.
Physical Review C, Vol. 85, Issue 2
DOI: 10.1103/PhysRevC.85.024306

Further studies in the liquid-drop theory on nuclear fission
journal, June 1969

Rayford Nix, James
Nuclear Physics A, Vol. 130, Issue 2
DOI: 10.1016/0375-9474(69)90730-1

ENDF/B-VII.1 Nuclear Data for Science and Technology: Cross Sections, Covariances, Fission Product Yields and Decay Data
journal, December 2011

Chadwick, M. B.; Herman, M.; Obložinský, P.
Nuclear Data Sheets, Vol. 112, Issue 12
DOI: 10.1016/j.nds.2011.11.002

Nuclear level densities
journal, October 1982

Haq, R. U.; Wong, S. S. M.
Canadian Journal of Physics, Vol. 60, Issue 10
DOI: 10.1139/p82-202

Nuclear Level Densities
conference, January 2005

Grimes, S. M.
INTERNATIONAL CONFERENCE ON NUCLEAR DATA FOR SCIENCE AND TECHNOLOGY, AIP Conference Proceedings
DOI: 10.1063/1.1945235

Brownian shape motion on five-dimensional potential-energy surfaces: Nuclear fission-fragment mass distributions
text, January 2011

Randrup, Jorgen; Moller, Peter
arXiv
DOI: 10.48550/arxiv.1103.0535

Fission-fragment mass distributions from strongly damped shape evolution
text, January 2011

Randrup, J.; Moller, P.; Sierk, A. J.
arXiv
DOI: 10.48550/arxiv.1107.2624

Works referencing / citing this record:

Review on the progress in nuclear fission—experimental methods and theoretical descriptions
journal, September 2018

Schmidt, Karl-Heinz; Jurado, Beatriz
Reports on Progress in Physics, Vol. 81, Issue 10
DOI: 10.1088/1361-6633/aacfa7

First Direct Measurement of Isotopic Fission-Fragment Yields of ${}^{239}U$
journal, August 2019

Ramos, D.; Caamaño, M.; Lemasson, A.
Physical Review Letters, Vol. 123, Issue 9
DOI: 10.1103/physrevlett.123.092503

Similar Records in DOE PAGES and OSTI.GOV collections:

Fission Dynamics with Microscopic Level Densities

Journal Article Ward, D. ; Carlsson, B. G. ; Dossing, Th. ; ... - Acta Physica Polonica. Series B, Proceedings Supplement

We present a consistent framework for treating the energy and angularmomentum dependence of the shape evolution in the nuclear fission. It combines microscopically calculated level densities with the Metropolis-walk method, has no new parameters, and can elucidate the energy-dependent influence of pairing and shell effects on the dynamics of warm nuclei.
https://doi.org/10.5506/APhysPolBSupp.10.201

Full Text Available
Correlation studies of fission-fragment neutron multiplicities

Journal Article Albertsson, M. ; Carlsson, B. G. ; Døssing, T. ; ... - Physical Review. C

We calculate neutron multiplicities from fission fragments with specified mass numbers for events having a specified total fragment kinetic energy. The shape evolution from the initial compound nucleus to the scission configurations is obtained with the metropolis walk method on the five-dimensional potential-energy landscape, calculated with the macroscopic-microscopic method for the three-quadratic-surface shape family. Shape-dependent microscopic level densities are used to guide the random walk, to partition the intrinsic excitation energy between the two proto-fragments at scission, and to determine the number of neutrons evaporated from the fragments. The contribution to the total excitation energy of the resulting fragments frommore »« less
https://doi.org/10.1103/PhysRevC.103.014609
Primary fission fragment mass yields across the chart of nuclides

Journal Article Mumpower, Matthew Ryan ; Jaffke, Patrick John ; Verriere, Marc Hugo ; ... - Physical Review. C

In this work, we have calculated a complete set of primary fission fragment mass yields, Y(A), for heavy nuclei across the chart of nuclides, including those of particular relevance to the rapid neutron capture process (r process) of nucleosynthesis. We assume that the nuclear shape dynamics are strongly damped, which allows for a description of the fission process via Brownian shape motion across nuclear potential-energy surfaces. The macroscopic energy of the potential was obtained with the Finite-Range Liquid-Drop Model (FRLDM), while the microscopic terms were extracted from the single-particle level spectra in the fissioning system by the Strutinsky procedure formore »« less
https://doi.org/10.1103/physrevc.101.054607

Full Text Available
Improved microscopic nuclear level densities within the Hartree-Fock-Bogoliubov plus combinatorial method

Journal Article Goriely, S ; Hilaire, S ; Koning, A J - Physical Review. C, Nuclear Physics

New developments have been brought to our energy-, spin-, and parity-dependent nuclear level densities based on the microscopic combinatorial model. As in our previous study, a detailed calculation of the intrinsic state density and of the rotational enhancement factor is included, but this time the vibrational contributions explicitly take the phonon excitations into account. The present model predicts the experimental s- and p-wave neutron resonance spacings with a degree of accuracy comparable to that of the best global models available. It is also shown that the model gives a reliable extrapolation at low energies where experimental data on the cumulativemore »« less
https://doi.org/10.1103/PHYSREVC.78.064307
Microscopic calculation of nuclear dissipation

Journal Article Koonin, S. E. ; Nix, J. R. - Physical Review. C, Nuclear Physics

By use of a time-dependent wave function of the BCS form, we compute microscopically the energy dissipated for a system with a monopole pairing force moving under the influence of a time-dependent single-particle potential. Quasiparticle generation and coupling of the two-quasiparticle modes of the system are included automatically and provide contact with the Landau-Zener formula. The single-particle potential is related to nuclear shapes generated by viscous hydrodynamical calculations of a fissioning $sup 236$U nucleus. We attempt to determine the energy dissipated between the saddle point and scission point by requiring that at the scission point the energy dissipated in themore »« less
https://doi.org/10.1103/PhysRevC.13.209

Similar Records

Title: Nuclear shape evolution based on microscopic level densities

Abstract

Citation Formats

Calculation of fission observables through event-by-event simulation journal, August 2009

Energy dependence of fission-fragment mass distributions from strongly damped shape evolution journal, December 2013

g factors as a probe of correlated changes of the nuclear deformation and pair field in ground-state rotational bands journal, May 1986

Calculated fission-fragment yield systematics in the region 74 ≤ Z ≤ 94 and 90 ≤ N ≤ 150 journal, April 2015

Heavy-element fission barriers journal, June 2009

Monte Carlo Hauser-Feshbach predictions of prompt fission γ rays: Application to n th + 235 U, n th + 239 Pu, and 252 Cf (sf) journal, January 2013

Brownian Shape Motion on Five-Dimensional Potential-Energy Surfaces:Nuclear Fission-Fragment Mass Distributions journal, March 2011

Investigation of phenomenological models for the Monte Carlo simulation of the prompt fission neutron and γ emission journal, November 2010

Combinatorial nuclear level-density model journal, September 2013

The role of seniority-zero states in nuclear level densities journal, September 2015

The statistical model and nuclear level densities journal, October 1960

Mass distributions for monoenergetic-neutron-induced fission of U 235 journal, December 1981

Nuclear Level Densities journal, December 1972

Particle number projection in the macroscopic–microscopic approach journal, March 2007

Fission-fragment mass distributions from strongly damped shape evolution journal, September 2011

Contrasting fission potential-energy structure of actinides and mercury isotopes journal, August 2012

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

Equation of State Calculations by Fast Computing Machines journal, June 1953

Energy Dependence of Fission Product Yields from 235U, 238U and 239Pu for Incident Neutron Energies Between 0.5 and 14.8 MeV journal, January 2016

Mass distributions in monoenergetic-neutron-induced fission of Pu 239 journal, May 1983

Effects of Pair Correlations in Statistical γ -Decay Spectra journal, August 1995

Calculated fission yields of neutron-deficient mercury isotopes journal, February 2012

Further studies in the liquid-drop theory on nuclear fission journal, June 1969

ENDF/B-VII.1 Nuclear Data for Science and Technology: Cross Sections, Covariances, Fission Product Yields and Decay Data journal, December 2011

Nuclear level densities journal, October 1982

Nuclear Level Densities conference, January 2005

Brownian shape motion on five-dimensional potential-energy surfaces: Nuclear fission-fragment mass distributions text, January 2011

Fission-fragment mass distributions from strongly damped shape evolution text, January 2011

Review on the progress in nuclear fission—experimental methods and theoretical descriptions journal, September 2018

First Direct Measurement of Isotopic Fission-Fragment Yields of U 239 journal, August 2019

Calculation of fission observables through event-by-event simulation
journal, August 2009

Energy dependence of fission-fragment mass distributions from strongly damped shape evolution
journal, December 2013

g factors as a probe of correlated changes of the nuclear deformation and pair field in ground-state rotational bands
journal, May 1986

Calculated fission-fragment yield systematics in the region $74 \leq Z \leq 94$ and $90 \leq N \leq 150$
journal, April 2015

Heavy-element fission barriers
journal, June 2009

Monte Carlo Hauser-Feshbach predictions of prompt fission $γ$ rays: Application to $n_{th} +^{235}$ U, $n_{th} +^{239}$ Pu, and $^{252}$ Cf (sf)
journal, January 2013

Brownian Shape Motion on Five-Dimensional Potential-Energy Surfaces:Nuclear Fission-Fragment Mass Distributions
journal, March 2011

Investigation of phenomenological models for the Monte Carlo simulation of the prompt fission neutron and $γ$ emission
journal, November 2010

Combinatorial nuclear level-density model
journal, September 2013

The role of seniority-zero states in nuclear level densities
journal, September 2015

The statistical model and nuclear level densities
journal, October 1960

Mass distributions for monoenergetic-neutron-induced fission of ${}^{235}U$
journal, December 1981

Nuclear Level Densities
journal, December 1972

Particle number projection in the macroscopic–microscopic approach
journal, March 2007

Fission-fragment mass distributions from strongly damped shape evolution
journal, September 2011

Contrasting fission potential-energy structure of actinides and mercury isotopes
journal, August 2012

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

Equation of State Calculations by Fast Computing Machines
journal, June 1953

Energy Dependence of Fission Product Yields from 235U, 238U and 239Pu for Incident Neutron Energies Between 0.5 and 14.8 MeV
journal, January 2016

Mass distributions in monoenergetic-neutron-induced fission of ${}^{239}{Pu}$
journal, May 1983

Effects of Pair Correlations in Statistical $γ$ -Decay Spectra
journal, August 1995

Calculated fission yields of neutron-deficient mercury isotopes
journal, February 2012

Further studies in the liquid-drop theory on nuclear fission
journal, June 1969

ENDF/B-VII.1 Nuclear Data for Science and Technology: Cross Sections, Covariances, Fission Product Yields and Decay Data
journal, December 2011

Nuclear level densities
journal, October 1982

Nuclear Level Densities
conference, January 2005

Brownian shape motion on five-dimensional potential-energy surfaces: Nuclear fission-fragment mass distributions
text, January 2011

Fission-fragment mass distributions from strongly damped shape evolution
text, January 2011

Review on the progress in nuclear fission—experimental methods and theoretical descriptions
journal, September 2018

First Direct Measurement of Isotopic Fission-Fragment Yields of ${}^{239}U$
journal, August 2019