Covariant energy density functionals: nuclear matter constraints and global ground state properties

Abstract

The correlations between global description of the ground state properties (binding energies, charge radii) and nuclear matter properties of the state-of-the-art covariant energy density functionals have been studied. It was concluded that the strict enforcement of the constraints on the nuclear matter properties (NMP) defined in Ref.\ \cite{RMF-nm} will not necessary lead to the functionals with good description of the binding energies and other ground and excited state properties. In addition, it will not substantially reduce the uncertainties in the predictions of the binding energies in neutron-rich systems. It turns out that the functionals, which come close to satisfying these NMP constraints, have some problems in the description of existing data. On the other hand, these problems are either absent or much smaller in the functionals which are carefully fitted to finite nuclei but which violate some NMP constraints. This is a consequence of the fact that the properties of finite nuclei are defined not only by nuclear matter properties but also by underlying shell effects. The mismatch of phenomenological content, existing in all modern functionals, related to nuclear matter physics and the physics of finite nuclei could also be responsible.

14 pages, 9 figures, Physical Review C, in press

References in corpus (42)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• The equation of state for nucleon matter and neutron star structure
• Neutron-Rich Nuclei in Heaven and Earth
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• Skyrme-Hartree-Fock-Bogoliubov nuclear mass formulas: Crossing the 0.6 MeV threshold with microscopically deduced pairing
• The impact of individual nuclear properties on $r$-process nucleosynthesis
• The effective force NL3 revisited
• The information content of a new observable: the case of the nuclear neutron skin
• Electric dipole polarizability and the neutron skin
• Do hyperons exist in the interior of neutron stars ?
• Global performance of covariant energy density functionals: ground state observables of even-even nuclei and the estimate of theoretical uncertainties
• Masses, Deformations and Charge Radii--Nuclear Ground-State Properties in the Relativistic Mean Field Model
• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• Relativistic mean field interaction with density dependent meson-nucleon vertices based on microscopical calculations
• Global study of quadrupole correlation effects
• Multidimensionally-constrained relativistic mean field models and potential energy surfaces of actinide nuclei
• Fission barriers in covariant density functional theory: extrapolation to superheavy nuclei
• Octupole deformation in the ground states of even-even nuclei: a global analysis within the covariant density functional theory
• Uncertainty Quantification for Nuclear Density Functional Theory and Information Content of New Measurements
• Nuclear landscape in covariant density functional theory
• Fission barriers in actinides in covariant density functional theory: the role of triaxiality
• Symmetry energy from the nuclear collective motion: constraints from dipole, quadrupole, monopole and spin-dipole resonances
• Dynamics of nuclear single-particle structure in covariant theory of particle-vibration coupling: from light to superheavy nuclei
• The neutron drip line: single-particle degrees of freedom and pairing properties as sources of theoretical uncertainties
• Covariant density functional theory: Reexamining the structure of superheavy nuclei
• Electroweak Measurements of Neutron Densities in CREX and PREX at JLab, USA
• Pairing and rotational properties of actinides and superheavy nuclei in covariant density functional theory
• Stellar properties and nuclear matter constraints
• Global study of beyond-mean-field correlation energies in covariant energy density functional theory using a collective Hamiltonian method
• Relativistic Energy Density Functional Description of Shape Transition in Superheavy Nuclei
• Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals
• Global dynamical correlation energies in covariant density functional theory: cranking approximation
• Accurate calibration of relativistic mean-field models: correlating observables and providing meaningful theoretical uncertainties
• Symmetry Energy Constraints from Giant Resonances: A Theoretical Overview
• Symmetry energy: nuclear masses and neutron stars
• Symmetry energy in nuclear density functional theory
• Covariance analysis for Energy Density Functionals and instabilities
• Deformed one-quasiparticle states in covariant density functional theory
• Energy systematics of heavy nuclei -- mean field models in comparison

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• The propagation of statistical errors in covariant density functional theory: ground state observables and single-particle properties
• Nuclear binding energy predictions using neural networks: Application of the multilayer perceptron
• Nuclear deformation as a source of the non-linearity of King plot in the Yb${}^{+}$ ion
• Covariant density functional theory input for r-process simulations in actinides and superheavy nuclei: the ground state and fission properties
• Rotational excitations in near neutron-drip line nuclei: the birth and death of particle-bound rotational bands and the extension of nuclear landscape beyond spin zero neutron drip line
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• Impact of complex many-body correlations on electron capture in thermally excited nuclei around ${}^{78}$Ni
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• Using isotope shift for testing nuclear theory: the case of nobelium isotopes
• The possibility of ${}^{14}$C cluster as a building block of medium mass nuclei
• From cluster structures to nuclear molecules: the role of nodal structure of the single-particle wave functions
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