Accurate nuclear masses from a three parameter Kohn-Sham DFT approach (BCPM)

Abstract

Given the promising features of the recently proposed Barcelona-Catania-Paris (BCP) functional \cite{Baldo.08}, it is the purpose of this paper to still improve on it. It is, for instance, shown that the number of open parameters can be reduced from 4-5 to 2-3, i.e. by practically a factor of two. One parameter is tightly fixed by a fine-tuning of the bulk, a second by the surface energy. The third is the strength of the spin-orbit potential on which the final result does not depend within the scatter of the values used in Skyrme and Gogny like functionals. An energy rms value of 1.58 MeV is obtained from a fit of these three parameters to the 579 measured masses reported in the Audi and Waspra 2003 compilation. This rms value compares favorably with the one obtained using other successful mean field theories. Charge radii are also well reproduced when compared with experiment. The energies of some excited states, mostly the isoscalar giant monopole resonances, are studied within this model as well.

23 pages, 12 figures

References in corpus (61)

• Climbing the Density Functional Ladder: Non-Empirical Meta-Generalized Gradient Approximation Designed for Molecules and Solids
• The equation of state for nucleon matter and neutron star structure
• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• Isospin Asymmetry in Nuclei and Neutron Stars
• Constraints on the symmetry energy and neutron skins from experiments and theory
• Skyrme Interaction and Nuclear Matter Constraints
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Nuclear Energy Density Optimization
• Skyrme-Hartree-Fock-Bogoliubov nuclear mass formulas: Crossing the 0.6 MeV threshold with microscopically deduced pairing
• Nuclear energy density optimization: Large deformations
• Microscopic determination of the nuclear incompressibility within the non-relativistic framework
• Isotopic dependence of the giant monopole resonance in the even-A ^{112-124}Sn isotopes and the asymmetry term in nuclear incompressibility
• A microscopic estimate of the nuclear matter compressibility and symmetry energy in relativistic mean-field models
• Global systematics of octupole excitations in even-even nuclei
• Higher-order effects on the incompressibility of isospin asymmetric nuclear matter
• Neutron skin thickness in droplet model with surface width dependence: indications of softness of the nuclear symmetry energy
• Incompressibility of neutron-rich matter
• Constraining the nuclear equation of state at subsaturation densities
• Density-dependent effective nucleon-nucleon interaction from chiral three-nucleon forces
• Selfconsistent calculations of fission barriers in the Fm region
• Isoscalar giant resonances in the Sn nuclei and implications for the asymmetry term in the nuclear-matter incompressibility
• Continuum quasiparticle random phase approximation and the time dependent Hartree-Fock-Bogoliubov approach
• Effective density dependent pairing forces in the T=1 and T=0 channels
• Surface Symmetry Energy of Nuclear Energy Density Functionals
• Low densities in nuclear and neutron matters and in the nuclear surface
• Khon-Sham Density Functional Inspired Approach to Nuclear Binding
• Properties of the nuclear medium
• Coulomb exchange and pairing contributions in nuclear Hartree-Fock-Bogoliubov calculations with the Gogny force
• Fitting theories of nuclear binding energies
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
• Application of the gradient method to Hartree-Fock-Bogoliubov theory
• Intrinsic-Density Functionals
• Asymmetric semi-infinite nuclear matter: surface and curvature properties in relativistic and non-relativistic models
• Giant Monopole Resonance in even-A Cd isotopes, the asymmetry term in nuclear incompressibility, and the "softness" of Sn and Cd nuclei
• Selecting microscopic Equations of State
• Equation of State of Nuclear Matter at high baryon density
• Octupole deformation properties of the Barcelona-Catania-Paris energy density functionals
• Remarks on the use of projected densities in the density dependent part of Skyrme or Gogny functionals
• An improved density matrix expansion for spin-unsaturated nuclei
• The role of superfluidity in nuclear incompressibilities
• Theoretical understanding of the nuclear incompressibility: where do we stand ?
• Exactly solvable pairing Hamiltonian for heavy nuclei
• Density functional theory and Kohn-Sham scheme for self-bound systems
• Effect of pairing correlations on incompressibility and symmetry energy in nuclear matter and finite nuclei
• Description of the Giant Monopole Resonance in the Even-A ${}^{112-124}$Sn Isotopes within the Microscopic Model Including Quasiparticle-Phonon Coupling
• Quasi-Local Density Functional Theory and its Application within Extended Thomas-Fermi Approximation
• Energy density functional on a microscopic basis
• Nuclear energy density functional from chiral two- and three-nucleon interactions
• Surface Incompressibility from Semiclassical Relativistic Mean Field Calculations
• Angular Momentum Projection and Quadrupole Correlations Effects in Atomic Nuclei
• Probing Correlated Ground States with Microscopic Optical Model for Nucleon Scattering off Doubly-Closed-Shell Nuclei
• Density functional theory for self-bound systems
• Low densities in asymmetric nuclear matter
• Isovector part of nuclear energy density functional from chiral two- and three-nucleon forces
• Deformation properties of the BCP energy density functional
• Strength of reduced two-body spin-orbit interaction from chiral three-nucleon force
• Scaling Calculation of Isoscalar Giant Resonances in Relativistic Thomas-Fermi Theory
• Nuclear incompressibility in the quasilocal density functional theory
• Energy systematics of heavy nuclei -- mean field models in comparison
• Sum Rule Approach to the Isoscalar Giant Monopole Resonance in Drip Line Nuclei

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• Microscopic description of fission in neutron-rich plutonium isotopes with the Gogny-D1M energy density functional
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• Uncertainty Quantification and Propagation in Nuclear Density Functional Theory
• Sloppy nuclear energy density functionals: effective model reduction
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• Microscopic description of fission in nobelium isotopes with the Gogny-D1M energy density functional
• Least action description of spontaneous fission in fermium and nobelium nuclei based on the Gogny energy density functional
• Nuclear energy density functionals grounded in ab initio calculations
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• Deformation properties with a finite range simple effective interaction
• A Bayesian mixture model approach to quantifying the empirical nuclear saturation point
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• Nuclear Energy Density Functionals: What do we really know?
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• Symmetry energy effects on isovector properties of neutron rich nuclei with a Thomas-Fermi approach
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• Self-consistent Theory of Finite Fermi Systems vs Skyrme-Hartree-Fock method. Spherical nuclei
• Cluster properties of heavy nuclei predicted with the Barcelona-Catania-Paris-Madrid energy density functional
• Stability of the manifold boundary approximation method for reductions of nuclear structure models
• Microscopic description of spontaneous fission based on a Gogny energy density functional including tensor contributions
• Including particle-vibration coupling in the Fayans functional. Odd-even mass differences of semi-magic nuclei
• Odd nuclei and quasiparticle excitations within the Barcelona Catania Paris Madrid energy density functional