DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals

Abstract

We calculate properties of the ground and excited states of nuclei in the nobelium region for proton and neutron numbers of 92 ≤ Z ≤ 104 and 144 ≤ N ≤ 156 , respectively. We use three different energy-density-functional (EDF) approaches, based on covariant, Skyrme, and Gogny functionals, each with two different parameter sets. In conclusion, a comparative analysis of the results obtained for quasiparticle spectra, odd–even and two-particle mass staggering, and moments of inertia allows us to identify single-particle and shell effects that are characteristic to these different models and to illustrate possible systematic uncertainties related to using the EDF modelling.

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. Univ. of York, Heslington, York (United Kingdom); Univ. of Jyvaskyla, Jyvaskyla (Finland); Univ. of Warsaw, Warsaw (Poland); Helsinki Institute of Physics, Helsinki (Finland)
  2. Mississippi State Univ., Mississippi State, MS (United States)
  3. Univ. de Bordeaux, Gradignan (France); CNRS/IN2P3, Gradignan (France)
  4. Univ. Autonoma de Madrid, Madrid (Spain)
  5. Michigan State Univ., East Lansing, MI (United States)
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), Nuclear Physics (NP)
OSTI Identifier:
1233492
Alternate Identifier(s):
OSTI ID: 1251851; OSTI ID: 1332822
Grant/Contract Number:  
NA0002847; SC0013037; SC0008511; DOE-DE-NA0002574
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Physics. A
Additional Journal Information:
Journal Volume: 944; Journal Issue: C; Related Information: No related document information; Journal ID: ISSN 0375-9474
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; heavy and superheavy nuclei; nuclear masses; quasiparticle excitations; odd–even mass staggering; moments of inertia; nuclear energy density functionals

Citation Formats

Dobaczewski, J., Afanasjev, A. V., Bender, M., Robledo, L. M., and Shi, Yue. Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals. United States: N. p., 2015. Web. doi:10.1016/j.nuclphysa.2015.07.015.
Dobaczewski, J., Afanasjev, A. V., Bender, M., Robledo, L. M., & Shi, Yue. Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals. United States. https://doi.org/10.1016/j.nuclphysa.2015.07.015
Dobaczewski, J., Afanasjev, A. V., Bender, M., Robledo, L. M., and Shi, Yue. Wed . "Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals". United States. https://doi.org/10.1016/j.nuclphysa.2015.07.015. https://www.osti.gov/servlets/purl/1233492.
@article{osti_1233492,
title = {Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals},
author = {Dobaczewski, J. and Afanasjev, A. V. and Bender, M. and Robledo, L. M. and Shi, Yue},
abstractNote = {We calculate properties of the ground and excited states of nuclei in the nobelium region for proton and neutron numbers of 92 ≤ Z ≤ 104 and 144 ≤ N ≤ 156 , respectively. We use three different energy-density-functional (EDF) approaches, based on covariant, Skyrme, and Gogny functionals, each with two different parameter sets. In conclusion, a comparative analysis of the results obtained for quasiparticle spectra, odd–even and two-particle mass staggering, and moments of inertia allows us to identify single-particle and shell effects that are characteristic to these different models and to illustrate possible systematic uncertainties related to using the EDF modelling.},
doi = {10.1016/j.nuclphysa.2015.07.015},
journal = {Nuclear Physics. A},
number = C,
volume = 944,
place = {United States},
year = {Wed Jul 29 00:00:00 EDT 2015},
month = {Wed Jul 29 00:00:00 EDT 2015}
}

Journal Article:

Citation Metrics:
Cited by: 47 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

In-beam and decay spectroscopy of transfermium nuclei
journal, October 2008


In-beam spectroscopy of heavy elements
journal, December 2015


Survey of single-particle states in the mass region A > 228
journal, October 1977


Fission Barriers at High Angular Momentum and the Ground State Rotational Band of the Nucleus N 254 o
journal, August 2000


Problem of “deformed” superheavy nuclei
journal, February 2001


Rotational properties of 252, 253, 254No: influence of pairing correlations
journal, January 2001


Skyrme mean-field study of rotational bands in transfermium isotopes
journal, August 2003


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


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


Structure properties of even–even actinides at normal and super deformed shapes analysed using the Gogny force
journal, May 2006


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

Theoretical description of superheavy nuclei
journal, July 2011


Deformed one-quasiparticle states in covariant density functional theory
journal, December 2011


Quasiparticle-vibration coupling in a relativistic framework: Shell structure of Z = 120 isotopes
journal, February 2012


Understanding the different rotational behaviors of 252 No and 254 No
journal, July 2012


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


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


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


Rotational properties of nuclei around No 254 investigated using a spectroscopic-quality Skyrme energy density functional
journal, March 2014


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

The effective force NL3 revisited
journal, January 2009


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

A Skyrme parametrization from subnuclear to neutron star densities Part II. Nuclei far from stabilities
journal, May 1998


Nuclear energy density optimization: Shell structure
journal, May 2014


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


Time-dependent quantum collective dynamics applied to nuclear fission
journal, February 1991


First Gogny-Hartree-Fock-Bogoliubov Nuclear Mass Model
journal, June 2009


Self-consistent calculation of nuclear rotations: The complete yrast line of 24Mg
journal, May 1987


Superdeformed rotational bands in the mercury region. A cranked Skyrme-Hartree-Fock-Bogoliubov study
journal, September 1994

  • Gall, B.; Bonche, P.; Dobaczewski, J.
  • Zeitschrift f�r Physik A Hadrons and Nuclei, Vol. 348, Issue 3
  • DOI: 10.1007/BF01291916

Superdeformed rotational bands with density dependent pairing interactions
journal, October 1995


Tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin
journal, January 2012


Solution of the Skyrme–HF+BCS equation on a 3D mesh, II: A new version of the Ev8 code
journal, February 2015


Hartree-Fock-Bogoliubov theory of polarized Fermi systems
journal, April 2009


One-quasiparticle states in the nuclear energy density functional theory
journal, February 2010


Spurious finite-size instabilities in nuclear energy density functionals
journal, December 2013


Spectroscopy and single-particle structure of the odd- Z heavy elements 255Lr, 251Md and 247Es
journal, November 2006


Observation of a Rotational Band in the Odd- Z Transfermium Nucleus Md 101 251
journal, March 2007


γ -Ray Spectroscopy at the Limits: First Observation of Rotational Bands in Lr 255
journal, May 2009


Structure of superheavy nuclei
journal, March 2013


Structure of Odd- N Superheavy Elements
journal, August 1999


Microscopic study of the properties of identical bands in the A = 150 mass region
journal, June 1999


Shape coexistence and triaxiality in the superheavy nuclei
journal, February 2005

  • Ćwiok, S.; Heenen, P. -H.; Nazarewicz, W.
  • Nature, Vol. 433, Issue 7027
  • DOI: 10.1038/nature03336

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
  • DOI: 10.1016/j.cpc.2011.08.013

Gamow-Teller strength and the spin-isospin coupling constants of the Skyrme energy functional
journal, May 2002


Spin constraints on nuclear energy density functionals
journal, February 2014


Pairing gaps in the Hartree-Fock-Bogoliubov theory with the Gogny D1S interaction
journal, December 2012


Application of the gradient method to Hartree-Fock-Bogoliubov theory
journal, July 2011


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


Time-odd mean fields in covariant density functional theory: Nonrotating systems
journal, January 2010


Time-odd mean fields in covariant density functional theory: Rotating systems
journal, September 2010


A relativistic description of rotating nuclei: The yrast line of 20Ne
journal, February 1989


On the application of the Hartree-Fock-Bogolyubov-equations to a microscopic theory of nuclear rotations
journal, February 1970

  • Ring, P.; Beck, R.; Mang, H. J.
  • Zeitschrift für Physik A Hadrons and nuclei, Vol. 231, Issue 1
  • DOI: 10.1007/BF01394546

Selfconsistent treatment of excited rotational bands in deformed nuclei
journal, January 1980


Transition Probability from the Ground to the First-Excited 2+ State of Even–Even Nuclides
journal, May 2001

  • Raman, S.; Nestor, C. W.; Tikkanen, P.
  • Atomic Data and Nuclear Data Tables, Vol. 78, Issue 1
  • DOI: 10.1006/adnd.2001.0858

Superheavy nuclei in self-consistent nuclear calculations
journal, July 1997


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


Structure of superheavy nuclei along decay chains of element 115
journal, July 2014


Tensor part of the Skyrme energy density functional: Spherical nuclei
journal, July 2007


Tensor part of the Skyrme energy density functional. II. Deformation properties of magic and semi-magic nuclei
journal, December 2009


Intrinsic states of deformed odd- A nuclei in the mass regions ( 151 A 193 ) and ( A 221 )
journal, April 1990


Isomer Spectroscopy in 90 216 Th 126 and the Magicity of 92 218 U 126
journal, July 2001


α decay studies of the nuclides U 218 and U 219
journal, May 2007


Global microscopic calculations of ground-state spins and parities for odd-mass nuclei
journal, August 2007


Signatures of shape transitions in odd- A neutron-rich rubidium isotopes
journal, December 2010


Shape evolution in yttrium and niobium neutron-rich isotopes
journal, April 2011


Odd-Even Staggering of Nuclear Masses: Pairing or Shape Effect?
journal, October 1998


The Nubase2012 evaluation of nuclear properties
journal, December 2012


The Ame2012 atomic mass evaluation
journal, December 2012


The Ame2012 atomic mass evaluation
journal, December 2012


Superheavy magic structures in the relativistic Hartree–Fock–Bogoliubov approach
journal, May 2014


Superheavy nuclei in deformed mean--field calculations
journal, October 1998

  • Bürvenich, T.; Rutz, K.; Bender, M.
  • The European Physical Journal A, Vol. 3, Issue 2
  • DOI: 10.1007/s100500050160

Shell-Structure and Pairing Interaction in Superheavy Nuclei: Rotational Properties of the Z = 104 Nucleus Rf 256
journal, July 2012


Moments of inertia of nuclei in the rare earth region: A relativistic versus nonrelativistic investigation
journal, October 2000


Microscopic description of rotation: from ground states to the extremes of ultra-high spin
journal, April 2014


Spectroscopic Properties of Nuclear Skyrme Energy Density Functionals
journal, December 2014


Convergence of Density-Matrix Expansions for Nuclear Interactions
journal, September 2010


Microscopically based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
journal, November 2010


Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions
journal, February 2011


Effective theory for low-energy nuclear energy density functionals
journal, October 2012

  • Dobaczewski, J.; Bennaceur, K.; Raimondi, F.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 39, Issue 12
  • DOI: 10.1088/0954-3899/39/12/125103

Skyrme functional from a three-body pseudopotential of second order in gradients: Formalism for central terms
journal, December 2013


New density-independent interactions for nuclear structure calculations
journal, January 2014


Nonlocal energy density functionals for low-energy nuclear structure
journal, March 2014

  • Raimondi, F.; Bennaceur, K.; Dobaczewski, J.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 5
  • DOI: 10.1088/0954-3899/41/5/055112

Symmetry broken and restored coupled-cluster theory: I. Rotational symmetry and angular momentum
journal, December 2014


Works referencing / citing this record:

Mean field and beyond description of nuclear structure with the Gogny force: a review
journal, December 2018

  • Robledo, L. M.; Rodríguez, T. R.; Rodríguez-Guzmán, R. R.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 1
  • DOI: 10.1088/1361-6471/aadebd

Structure of odd-odd Cs isotopes within the interacting boson-fermion-fermion model based on the Gogny-D1M energy density functional
journal, January 2020


Spectroscopy of odd-odd nuclei within the interacting boson-fermion-fermion model based on the Gogny energy-density functional
journal, March 2019


Physics of even-even superheavy nuclei with 96 < Z < 110 in the quark-meson-coupling model
journal, October 2019


Islands of stability and quasi-magic numbers for super- and ultra-heavy nuclei
journal, December 2016


The Gogny-Hartree-Fock-Bogoliubov nuclear-mass model
journal, July 2016


Mean field and beyond description of nuclear structure with the Gogny force: A review
text, January 2018


Mean field and beyond description of nuclear structure with the Gogny force: A review
text, January 2018