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

Title: Minimal nuclear energy density functional

Abstract

In this paper, we present a minimal nuclear energy density functional (NEDF) called “SeaLL1” that has the smallest number of possible phenomenological parameters to date. SeaLL1 is defined by seven significant phenomenological parameters, each related to a specific nuclear property. It describes the nuclear masses of even-even nuclei with a mean energy error of 0.97 MeV and a standard deviation of 1.46 MeV , two-neutron and two-proton separation energies with rms errors of 0.69 MeV and 0.59 MeV respectively, and the charge radii of 345 even-even nuclei with a mean error ε r = 0.022 fm and a standard deviation σ r = 0.025 fm . SeaLL1 incorporates constraints on the equation of state (EoS) of pure neutron matter from quantum Monte Carlo calculations with chiral effective field theory two-body ( NN ) interactions at the next-to-next-to-next-to leading order (N3LO) level and three-body ( NNN ) interactions at the next-to-next-to leading order (N2LO) level. Two of the seven parameters are related to the saturation density and the energy per particle of the homogeneous symmetric nuclear matter, one is related to the nuclear surface tension, two are related to the symmetry energy and its density dependence, one is related to the strength of the spin-orbit interaction, and one is the coupling constant of the pairing interaction. Finally, we identify additional phenomenological parameters that have little effect on ground-state properties but can be used to fine-tune features such as the Thomas-Reiche-Kuhn sum rule, the excitation energy of the giant dipole and Gamow-Teller resonances, the static dipole electric polarizability, and the neutron skin thickness.

Authors:
 [1];  [2];  [1];  [3];  [3]
  1. Univ. of Washington, Seattle, WA (United States). Dept. of Physics
  2. Univ. of Washington, Seattle, WA (United States). Dept. of Physics; Washington State Univ., Pullman, WA (United States). Dept. of Physics and Astronomy
  3. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Nuclear and Chemical Science Division
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Univ. of Washington, Seattle, WA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); National Science Foundation (NSF)
OSTI Identifier:
1438670
Alternate Identifier(s):
OSTI ID: 1433432
Report Number(s):
LLNL-JRNL-737442
Journal ID: ISSN 2469-9985; TRN: US1900480
Grant/Contract Number:  
AC52-07NA27344; FG02-97ER41014; PHY-0922770
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 97; Journal Issue: 4; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; asymmetric nuclear matter; binding energy & masses; charge distributions; fission; nuclear astrophysics; nuclear binding; nuclear charge distribution; nuclear many-body theory; nuclear matter; nuclear matter in neutron stars; symmetry energy; nuclear density functional theory; nuclear structure & decays

Citation Formats

Bulgac, Aurel, Forbes, Michael McNeil, Jin, Shi, Perez, Rodrigo Navarro, and Schunck, Nicolas. Minimal nuclear energy density functional. United States: N. p., 2018. Web. doi:10.1103/PhysRevC.97.044313.
Bulgac, Aurel, Forbes, Michael McNeil, Jin, Shi, Perez, Rodrigo Navarro, & Schunck, Nicolas. Minimal nuclear energy density functional. United States. https://doi.org/10.1103/PhysRevC.97.044313
Bulgac, Aurel, Forbes, Michael McNeil, Jin, Shi, Perez, Rodrigo Navarro, and Schunck, Nicolas. Tue . "Minimal nuclear energy density functional". United States. https://doi.org/10.1103/PhysRevC.97.044313. https://www.osti.gov/servlets/purl/1438670.
@article{osti_1438670,
title = {Minimal nuclear energy density functional},
author = {Bulgac, Aurel and Forbes, Michael McNeil and Jin, Shi and Perez, Rodrigo Navarro and Schunck, Nicolas},
abstractNote = {In this paper, we present a minimal nuclear energy density functional (NEDF) called “SeaLL1” that has the smallest number of possible phenomenological parameters to date. SeaLL1 is defined by seven significant phenomenological parameters, each related to a specific nuclear property. It describes the nuclear masses of even-even nuclei with a mean energy error of 0.97MeV and a standard deviation of 1.46MeV, two-neutron and two-proton separation energies with rms errors of 0.69MeV and 0.59MeV respectively, and the charge radii of 345 even-even nuclei with a mean error εr=0.022fm and a standard deviation σr=0.025fm. SeaLL1 incorporates constraints on the equation of state (EoS) of pure neutron matter from quantum Monte Carlo calculations with chiral effective field theory two-body (NN) interactions at the next-to-next-to-next-to leading order (N3LO) level and three-body (NNN) interactions at the next-to-next-to leading order (N2LO) level. Two of the seven parameters are related to the saturation density and the energy per particle of the homogeneous symmetric nuclear matter, one is related to the nuclear surface tension, two are related to the symmetry energy and its density dependence, one is related to the strength of the spin-orbit interaction, and one is the coupling constant of the pairing interaction. Finally, we identify additional phenomenological parameters that have little effect on ground-state properties but can be used to fine-tune features such as the Thomas-Reiche-Kuhn sum rule, the excitation energy of the giant dipole and Gamow-Teller resonances, the static dipole electric polarizability, and the neutron skin thickness.},
doi = {10.1103/PhysRevC.97.044313},
journal = {Physical Review C},
number = 4,
volume = 97,
place = {United States},
year = {Tue Apr 17 00:00:00 EDT 2018},
month = {Tue Apr 17 00:00:00 EDT 2018}
}

Journal Article:

Citation Metrics:
Cited by: 39 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Spatial Structure of a Vortex in Low Density Neutron Matter
journal, April 2003


Fermionic Casimir effect in case of Andreev reflection
journal, November 2005


An improved approximate treatment of c.m. motion in DDHF calculations
journal, June 1984


Nuclear Masses: Evidence of Order-Chaos Coexistence
journal, February 2002


Local-density-functional theory for superfluid fermionic systems: The unitary gas
journal, October 2007


New Finite-Range Droplet Mass Model and Equation-of-State Parameters
journal, January 2012


Supernova mechanisms
journal, October 1990


Tddft with Skyrme Forces: Effect of Time-Odd Densities on Electric Giant Resonances
journal, January 2008

  • Nesterenko, V. O.; Kleinig, W.; Kvasil, J.
  • International Journal of Modern Physics E, Vol. 17, Issue 01
  • DOI: 10.1142/S0218301308009586

Neutron star crusts
journal, January 1993


The impact of individual nuclear properties on r -process nucleosynthesis
journal, January 2016

  • Mumpower, M. R.; Surman, R.; McLaughlin, G. C.
  • Progress in Particle and Nuclear Physics, Vol. 86
  • DOI: 10.1016/j.ppnp.2015.09.001

Nuclear fusion in dense matter: Reaction rate and carbon burning
journal, August 2005


Closed Orbits and the Regular Bound Spectrum
journal, April 1976

  • Berry, M. V.; Tabor, M.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 349, Issue 1656
  • DOI: 10.1098/rspa.1976.0062

Onset of a Pseudogap Regime in Ultracold Fermi Gases
journal, September 2011


Entrainment parameters in a cold superfluid neutron star core
journal, April 2006


The density functional formalism, its applications and prospects
journal, July 1989


Towards a better parametrisation of Skyrme-like effective forces: A critical study of the SkM force
journal, September 1982


Density functional theory and Kohn-Sham scheme for self-bound systems
journal, November 2009


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


Calculating the bound spectrum by path summation in action-angle variables
journal, March 1977


Vortex-Nucleus Interaction and Pinning Forces in Neutron Stars
journal, November 1997


Effective density-dependent pairing forces in the T = 1 and T = 0 channels
journal, November 1999


Constraints on the equation of state of cold dense matter from nuclear physics and astrophysics
journal, January 2014


Anomaly in the nuclear curvature energy
journal, November 1988


Further explorations of Skyrme–Hartree–Fock–Bogoliubov mass formulas. IV: Neutron-matter constraint
journal, April 2005


Pycnonuclear fusion rates
journal, December 1990

  • Schramm, S.; Koonin, S. E.
  • The Astrophysical Journal, Vol. 365
  • DOI: 10.1086/169482

On the "Magic Numbers" in Nuclear Structure
journal, June 1949


Low-density neutron matter
journal, February 2010


Hartree-Fock-Bogoliubov nuclear mass model with 0.50 MeV accuracy based on standard forms of Skyrme and pairing functionals
journal, December 2013


Coulomb Energies
journal, December 1969


Chiral effective field theory and nuclear forces
journal, June 2011


Nuclear charge-density-distribution parameters from elastic electron scattering
journal, May 1987


Nuclear Configurations in the Spin-Orbit Coupling Model. I. Empirical Evidence
journal, April 1950


Shell Correction Energy for Bubble Nuclei
journal, January 2000


Towards a universal nuclear density functional
journal, August 1998

  • Fayans, S. A.
  • Journal of Experimental and Theoretical Physics Letters, Vol. 68, Issue 3
  • DOI: 10.1134/1.567841

Semiclassical Theory of Bardeen-Cooper-Schrieffer Pairing-Gap Fluctuations
journal, January 2008


Non-empirical pairing energy density functional: First order in the nuclear plus Coulomb two-body interaction
journal, April 2009


Low densities in nuclear and neutron matters and in the nuclear surface
journal, May 2004


Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. III. Role of particle-number projection
journal, October 2004


Angular Momentum Transfer in Vela-Like Pulsar Glitches
journal, November 2011


Time-dependent hartree-fock theory with Skyrme's interaction
journal, September 1975


Coordinate-space solver for superfluid many-fermion systems with the shifted conjugate-orthogonal conjugate-gradient method
journal, April 2017


Nuclear Configurations in the Spin-Orbit Coupling Model. II. Theoretical Considerations
journal, April 1950


The nuclear droplet model for arbitrary shapes
journal, May 1974


Semilocal approach to nonlocal equations
journal, October 1988


Axially deformed solution of the Skyrme–Hartree–Fock–Bogolyubov equations using the transformed harmonic oscillator basis. The program HFBTHO (v1.66p)
journal, April 2005

  • Stoitsov, M. V.; Dobaczewski, J.; Nazarewicz, W.
  • Computer Physics Communications, Vol. 167, Issue 1
  • DOI: 10.1016/j.cpc.2005.01.001

Solar fusion cross sections. II. The p p chain and CNO cycles
journal, April 2011

  • Adelberger, E. G.; García, A.; Robertson, R. G. Hamish
  • Reviews of Modern Physics, Vol. 83, Issue 1
  • DOI: 10.1103/RevModPhys.83.195

Intrinsic-density functionals
journal, January 2007


Nuclear “pasta matter” for different proton fractions
journal, November 2014


Strength of the Vortex-Pinning Interaction from Real-Time Dynamics
journal, June 2013


The Ame2012 atomic mass evaluation
journal, December 2012


Improved density matrix expansion for spin-unsaturated nuclei
journal, July 2010


The Ame2012 atomic mass evaluation
journal, December 2012


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
  • DOI: 10.1006/adnd.1997.0746

Quantum calculation of vortices in the inner crust of neutron stars
journal, January 2007


Vortex–nucleus interaction in the inner crust of neutron stars
journal, October 2008


The Constitution of the Elements
journal, July 1920


Estimating the relevance of predictions from the Skyrme–Hartree–Fock model
journal, December 2015


Upper limits on the observational effects of nuclear pasta in neutron stars: Effects of nuclear pasta in neutron stars
journal, October 2011


A way forward in the study of the symmetry energy: experiment, theory, and observation
journal, July 2014


Derivation of an adiabatic time-dependent Hartree-Fock formalism from a variational principle
journal, February 1976


Neutron star matter at sub-nuclear densities
journal, June 1973


Shell effects in nuclear masses and deformation energies
journal, April 1967


Scattering theory approach to electrodynamic Casimir forces
journal, October 2009


Structure of Matter below Nuclear Saturation Density
journal, June 1983


Energy Density Functional Approach to Superfluid Nuclei
journal, June 2003


Complete Electric Dipole Response and the Neutron Skin in Pb 208
journal, August 2011


Density functionals in the laboratory frame
journal, January 2008


Periodic Orbits and Classical Quantization Conditions
journal, March 1971

  • Gutzwiller, Martin C.
  • Journal of Mathematical Physics, Vol. 12, Issue 3
  • DOI: 10.1063/1.1665596

Zur Theorie der Kernmassen
journal, July 1935

  • Weizs�cker, C. F. v.
  • Zeitschrift f�r Physik, Vol. 96, Issue 7-8
  • DOI: 10.1007/BF01337700

Dispersion and decay of collective modes in neutron star cores
journal, August 2017


Superfluid Fermi Gases with Large Scattering Length
journal, July 2003


Erratum: Nuclear Masses: Evidence of Order-Chaos Coexistence [Phys. Rev. Lett. 88, 092502 (2002)]
journal, March 2002


Nuclear Physics A. Stationary States of Nuclei
journal, April 1936


Nucleon electromagnetic form factors
journal, October 2007

  • Perdrisat, C. F.; Punjabi, V.; Vanderhaeghen, M.
  • Progress in Particle and Nuclear Physics, Vol. 59, Issue 2
  • DOI: 10.1016/j.ppnp.2007.05.001

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
  • DOI: 10.1006/adnd.1995.1002

Nuclear ground-state masses and deformations: FRDM(2012)
journal, May 2016


Electroweak measurements of neutron densities in CREX and PREX at JLab, USA
journal, February 2014


Finite-Temperature Pairing Gap of a Unitary Fermi Gas by Quantum Monte Carlo Calculations
journal, November 2009


Critical Casimir Forces between Spherical Particles in Fluids
journal, August 1998


Funny Hills: The Shell-Correction Approach to Nuclear Shell Effects and Its Applications to the Fission Process
journal, April 1972


Bounds on the presence of quantum chaos in nuclear masses⋆
journal, April 2005


Table of experimental nuclear ground state charge radii: An update
journal, January 2013


Superfluid densities in neutron-star matter
journal, November 1996


Global study of quadrupole correlation effects
journal, March 2006


Ramifications, old and new, of the eigenvalue problem
journal, March 1950


Fitting theories of nuclear binding energies
journal, May 2005


Neutron matter model
journal, October 1999


Über die Randwertaufgabe der Strahlungstheorie und asymptotische Spektralgesetze.
journal, July 1913

  • Weyl, H.
  • Journal für die reine und angewandte Mathematik (Crelles Journal), Vol. 1913, Issue 143
  • DOI: 10.1515/crll.1913.143.177

Time-Dependent Density Functional Theory and the Real-Time Dynamics of Fermi Superfluids
journal, October 2013


Symmetry energy in nuclei and neutron stars
journal, August 2014


Das asymptotische verteilungsgesetz der eigenschwingungen eines beliebig gestalteten elastischen körpers
journal, December 1915

  • Weyl, Hermann
  • Rendiconti del Circolo Matematico di Palermo, Vol. 39, Issue 1
  • DOI: 10.1007/BF03015971

Density functional theory for self-bound systems
journal, December 2007


Density-Matrix Expansion for an Effective Nuclear Hamiltonian
journal, May 1972


On Closed Shells in Nuclei. II
journal, June 1949


Constraining the surface properties of effective Skyrme interactions
journal, August 2016


On the extended Thomas-Fermi approximation to the kinetic energy density
journal, October 1976


Validating simple dynamical simulations of the unitary Fermi gas
journal, October 2014


Supershells in metal clusters
journal, November 1990


Crust-core coupling and r-mode damping in neutron stars: a toy model
journal, July 2001


Nuclear robustness of the r process in neutron-star mergers
journal, November 2015

  • Mendoza-Temis, Joel de Jesús; Wu, Meng-Ru; Langanke, Karlheinz
  • Physical Review C, Vol. 92, Issue 5
  • DOI: 10.1103/PhysRevC.92.055805

Energy density functional for nuclei and neutron stars
journal, April 2013


Diagrammatic Monte Carlo for correlated fermions
journal, April 2010


A systematic surface contribution to the ground-state binding energies
journal, April 1996


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


Nuclear properties according to the Thomas-Fermi model
journal, May 1996


Average nuclear properties
journal, December 1969


Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. II. Role of the effective mass
journal, November 2003


Density-matrix expansion for an effective nuclear Hamiltonian. II
journal, March 1975


Inhomogeneous Electron Gas
journal, November 1964


The entrainment matrix of a superfluid neutron–proton mixture at a finite temperature
journal, November 2005


Density dependence of the symmetry energy from neutron skin thickness in finite nuclei
journal, February 2014


Isoscalar and isovector density dependence of the pairing functional determined from global fitting
journal, September 2012


Nuclear isotope shifts within the local energy-density functional approach
journal, August 2000


Exotic nuclear phases in the inner crust of neutron stars in the light of Skyrme-Hartree-Pock theory
journal, May 2003


Polynomial complexity despite the fermionic sign
journal, April 2017


Neutrino-“pasta” scattering: The opacity of nonuniform neutron-rich matter
journal, April 2004


Orderly Spectra from Random Interactions
journal, March 1998


Erratum to: “Quantum corrections to the ground state energy of inhomogeneous neutron matter”
journal, June 2002


Towards quantum turbulence in cold atomic fermionic superfluids
journal, December 2016

  • Bulgac, Aurel; Forbes, Michael McNeil; Wlazłowski, Gabriel
  • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 50, Issue 1
  • DOI: 10.1088/1361-6455/50/1/014001

Nuclear masses and deformations
journal, June 1966


Isospin symmetry breaking nucleon-nucleon potentials and nuclear structure
journal, January 1999


“Shells” in deformed nuclei
journal, December 1968


Quantum Monte Carlo methods for nuclear physics
journal, September 2015


Correlation energies by the generator coordinate method: Computational aspects for quadrupolar deformations
journal, March 2004


Nuclear masses, chaos, and the residual interaction
journal, June 2006


Uncertainties of mass extrapolations in Hartree-Fock-Bogoliubov mass models
journal, May 2014


Microscopic mass formulas
journal, July 1995


Skyrme-Hartree-Fock-Bogoliubov Nuclear Mass Formulas: Crossing the 0.6 MeV Accuracy Threshold with Microscopically Deduced Pairing
journal, April 2009


Nuclear energy density optimization: Shell structure
journal, May 2014


Weighing up nuclear masses: Nuclear physics
journal, May 2002


The physics of simple metal clusters: experimental aspects and simple models
journal, July 1993


Asymmetric Two-Component Fermion Systems in Strong Coupling
journal, August 2005


A Thomas-Fermi model of nuclei. Part I. Formulation and first results
journal, December 1990


The Ame2003 atomic mass evaluation
journal, December 2003


Neutron star matter
journal, November 1971


The Internal Constitution of the Stars
journal, September 1920


Auxiliary-Field Quantum Monte Carlo Simulations of Neutron Matter in Chiral Effective Field Theory
journal, October 2014


Casimir energies of periodic dielectric gratings
journal, September 2014


Explosion Mechanisms of Core-Collapse Supernovae
journal, November 2012


Neutron-proton mass difference in finite nuclei and the Nolen-Schiffer anomaly
journal, April 2008


Constrained hartree-fock and beyond
journal, October 1989


Charge Symmetry Breaking and QCD
journal, November 2006


Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
journal, January 2010


Relativistic nuclear energy density functionals: Mean-field and beyond
journal, July 2011


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


Scalar Casimir effect between Dirichlet spheres or a plate and a sphere
journal, January 2006


Pairing renormalization and regularization within the local density approximation
journal, April 2006


Self-Consistent Equations Including Exchange and Correlation Effects
journal, November 1965


An adiabatic time-dependent Hartree-Fock theory of collective motion in finite systems
journal, September 1978


Quantum corrections to the ground state energy of inhomogeneous neutron matter
journal, February 2001


Ab Initio Calculation of the Hoyle State
journal, May 2011


Stable deformations in large metallic clusters
journal, December 1993


Renormalization of the Hartree-Fock-Bogoliubov Equations in the Case of a Zero Range Pairing Interaction
journal, January 2002


Neutron Skin of Pb 208 from Coherent Pion Photoproduction
journal, June 2014


Odd-even mass differences from self-consistent mean field theory
journal, March 2009


Nuclear “pasta” structures in low-density nuclear matter and properties of the neutron-star crust
journal, August 2013


Systematics of Quadrupolar Correlation Energies
journal, March 2005


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


Nuclear Masses Set Bounds on Quantum Chaos
journal, March 2005


Quantum nuclear pasta and nuclear symmetry energy
journal, May 2017


A highly resistive layer within the crust of X-ray pulsars limits their spin periods
journal, June 2013

  • Pons, José A.; Viganò, Daniele; Rea, Nanda
  • Nature Physics, Vol. 9, Issue 7
  • DOI: 10.1038/nphys2640

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 reactions and stellar processes
journal, November 2001


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


Selfconsistent semiclassical description of average nuclear properties—a link between microscopic and macroscopic models
journal, July 1985


Shape of Nuclei in the Crust of Neutron Star
journal, February 1984

  • Hashimoto, M. -a.; Seki, H.; Yamada, M.
  • Progress of Theoretical Physics, Vol. 71, Issue 2
  • DOI: 10.1143/PTP.71.320

Stability of polyatomic molecules in degenerate electronic states - I—Orbital degeneracy
journal, July 1937

  • Jahn, H. A.; Teller, E.
  • Proceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, Vol. 161, Issue 905, p. 220-235
  • DOI: 10.1098/rspa.1937.0142

The Casimir force between real materials: Experiment and theory
journal, December 2009

  • Klimchitskaya, G. L.; Mohideen, U.; Mostepanenko, V. M.
  • Reviews of Modern Physics, Vol. 81, Issue 4
  • DOI: 10.1103/RevModPhys.81.1827

Charge symmetry breaking of the nucleon-nucleon interaction: ρ-ω mixing versus nucleon mass splitting
journal, February 2001


Nuclear “pasta phase” and its consequences on neutrino opacities
journal, March 2011


Kinetic energy density study of some representative semilocal kinetic energy functionals
journal, October 2007

  • García-Aldea, David; Alvarellos, J. E.
  • The Journal of Chemical Physics, Vol. 127, Issue 14
  • DOI: 10.1063/1.2774974

The long-term evolution of neutron star merger remnants - I. The impact of r-process nucleosynthesis
journal, January 2014

  • Rosswog, S.; Korobkin, O.; Arcones, A.
  • Monthly Notices of the Royal Astronomical Society, Vol. 439, Issue 1
  • DOI: 10.1093/mnras/stt2502

Rapid postglitch spin-up of the superfluid core in pulsars
journal, July 1984

  • Alpar, M. A.; Langer, S. A.; Sauls, J. A.
  • The Astrophysical Journal, Vol. 282
  • DOI: 10.1086/162232

Swelling of nuclei embedded in neutron-gas and consequences for fusion
journal, August 2015


Vacuum energy between a sphere and a plane at finite temperature
journal, April 2010


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

Correlations in Nuclear Masses
journal, January 2006


Statistical fluctuations of ground-state energies and binding energies in nuclei
journal, November 2004


Error analysis in nuclear density functional theory
journal, February 2015

  • Schunck, Nicolas; McDonnell, Jordan D.; Sarich, Jason
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3
  • DOI: 10.1088/0954-3899/42/3/034024

The limits of the nuclear landscape
journal, June 2012

  • Erler, Jochen; Birge, Noah; Kortelainen, Markus
  • Nature, Vol. 486, Issue 7404
  • DOI: 10.1038/nature11188

Time-odd components in the mean field of rotating superdeformed nuclei
journal, October 1995


Proton single-particle energy shifts due to Coulomb correlations
journal, December 1999


A Thomas-Fermi model of nuclei. II. Fission barriers and charge distributions
journal, November 1991


Heavy-element fission barriers
journal, June 2009


Neutron Matter from Low to High Density
journal, October 2015


Recent trends in the determination of nuclear masses
journal, August 2003


Charge symmetry, quarks and mesons
journal, October 1990


Systematic and Statistical Uncertainties in Simulated r -Process Abundances due to Uncertain Nuclear Masses
conference, February 2017

  • Surman, Rebecca; Mumpower, Matthew; McLaughlin, Gail
  • Proceedings of the 14th International Symposium on Nuclei in the Cosmos (NIC2016)
  • DOI: 10.7566/JPSCP.14.010612

Scalar nature of the nuclear density functional
journal, July 2008


Large collection of astrophysical S factors and their compact representation
journal, May 2012


An energy density nuclear mass formula
journal, June 1978


Crustal Entrainment and Pulsar Glitches
journal, January 2013


Existence of a density functional for an intrinsic state
journal, September 2008


Decompression of initially cold neutron star matter - A mechanism for the r-process?
journal, August 1989

  • Meyer, Bradley S.
  • The Astrophysical Journal, Vol. 343
  • DOI: 10.1086/167702

Nuclear energy density optimization: Large deformations
journal, February 2012


Nuclear structure and dynamics in the inner crust of neutron stars
journal, June 2004


Observation of quantum supershells in clusters of sodium atoms
journal, October 1991

  • Pedersen, J.; Bjørnholm, S.; Borggreen, J.
  • Nature, Vol. 353, Issue 6346
  • DOI: 10.1038/353733a0

Microscopic study of Pu 240 : Mean field and beyond
journal, November 2004


Non-empirical pairing energy functional in nuclear matter and finite nuclei
journal, October 2009


On hearing the shape of a drum: an extension to higher dimensions
journal, November 1972

  • Waechter, R. T.
  • Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 72, Issue 3
  • DOI: 10.1017/S0305004100047277

Can One Hear the Shape of a Drum?
journal, April 1966


Constraints on the Skyrme Equations of State from Properties of Doubly Magic Nuclei
journal, December 2013


Nuclear energy density optimization
journal, August 2010


New Kohn-Sham density functional based on microscopic nuclear and neutron matter equations of state
journal, June 2013


Systematics of nuclear level density parameters
journal, October 2005


Quantum chaos and nuclear mass systematics
journal, August 2004


Structure of the inner crust of neutron stars: Crystal lattice or disordered phase?
journal, April 2002


Distribution of eigenfrequencies for the wave equation in a finite domain
journal, October 1970


Corrigendum to “The impact of individual nuclear properties on r -process nucleosynthesis” [J. Prog. Part. Nucl. Phys. 86C (2015) 86–126]
journal, March 2016

  • Mumpower, M. R.; Surman, R.; McLaughlin, G. C.
  • Progress in Particle and Nuclear Physics, Vol. 87
  • DOI: 10.1016/j.ppnp.2015.12.002

Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XVI. Inclusion of self-energy effects in pairing
journal, March 2016


From finite nuclei to the nuclear liquid drop: Leptodermous expansion based on self-consistent mean-field theory
journal, January 2006


Neutron charge radius and the neutron electric form factor
journal, May 2011


Thermal Casimir effect for Drude metals in the plane-sphere geometry
journal, July 2010

  • Canaguier-Durand, Antoine; Maia Neto, Paulo A.; Lambrecht, Astrid
  • Physical Review A, Vol. 82, Issue 1
  • DOI: 10.1103/PhysRevA.82.012511

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


Kinetic-energy functionals via Padé approximations
journal, January 1987


Manifestations of classical phase space structures in quantum mechanics
journal, January 1993


An energy density nuclear mass formula
journal, November 1978


Can One Hear the Shape of a Drum?
journal, April 1966

  • Kac, Mark
  • The American Mathematical Monthly, Vol. 73, Issue 4
  • DOI: 10.2307/2313748

Density dependence of the symmetry energy from neutron skin thickness in finite nuclei
conference, January 2012

  • Viñas, X.; Centelles, M.; Roca-Maza, X.
  • NUCLEAR STRUCTURE AND DYNAMICS 2012, AIP Conference Proceedings
  • DOI: 10.1063/1.4764212

Systematics of Nuclear Level Density Parameters
conference, November 2011

  • Bucurescu, D.; Von Egidy, T.
  • Proceedings of the Eleventh International Symposium, Capture Gamma-Ray Spectroscopy and Related Topics
  • DOI: 10.1142/9789812795151_0052

On the Extended Thomas-Fermi Approximation to the Kinetic Energy Density
text, January 1976

  • Brack, Matthias; Jennings, B. K.; Chu, Y. H.
  • Universität Regensburg
  • DOI: 10.5283/epub.11928

Funny Hills: The Shell-Correction Approach to Nuclear Shell Effects and its Applications to the Fission Process
text, January 1972

  • Brack, Matthias; Damgaard, J.; Jensen, A. S.
  • Universität Regensburg
  • DOI: 10.5283/epub.11946

Towards a better parametrisation of Skyrme-like effective forces: A critical study of the SkM force
text, January 1982

  • Bartel, J.; Quentin, P.; Brack, Matthias
  • Universität Regensburg
  • DOI: 10.5283/epub.11991

Systematics of nuclear level density parameters
journal, September 2005

  • Bucurescu, Dorel; Egidy, Till von
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 31, Issue 10
  • DOI: 10.1088/0954-3899/31/10/052

Proton Single Particle Energy Shifts due to Coulomb Correlations
conference, November 2012

  • Bulgac, A.; Shaginyan, V. R.
  • Proceedings of the 10th International Conference, Recent Progress in Many-Body Theories
  • DOI: 10.1142/9789812792754_0031

Selfconsistent semiclassical description of average nuclear bulk properties - a link between microscopic and macroscopic models
text, January 1985

  • Brack, Matthias; Guet, C.; Hakansson, H. -B.
  • Universität Regensburg
  • DOI: 10.5283/epub.12410

The Internal Constitution of the Stars
journal, September 1920


Existence of a Density Functional for an Intrinsic State
text, January 2007


Neutron-proton mass difference in finite nuclei and the Nolen-Schiffer anomaly
text, January 2008


Vortex-nucleus interaction in the inner crust of neutron stars
text, January 2008


Non-empirical pairing energy functional in nuclear matter and finite nuclei
text, January 2009


Thermal Casimir effect for Drude metals in the plane-sphere geometry
text, January 2010


Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
text, January 2011


R-Process Nucleosynthesis in Dynamically Ejected Matter of Neutron Star Mergers
text, January 2011


Explosion Mechanisms of Core-Collapse Supernovae
text, January 2012


Energy density functional for nuclei and neutron stars
text, January 2012


Error Analysis in Nuclear Density Functional Theory
text, January 2014


Quantum Nuclear Pasta and Nuclear Symmetry Energy
text, January 2017


Vortex-nucleus interaction and pinning forces in neutron stars
text, January 1997


Global study of quadrupole correlation effects
text, January 2005


Orderly spectra from random interactions
text, January 1998


Works referencing / citing this record: