Towards an ab initio covariant density functional for nuclear structure

Abstract

Nuclear structure models built from phenomenological mean fields, the effective nucleon-nucleon interactions (or Lagrangians), and the realistic bare nucleon-nucleon interactions are reviewed. The success of covariant density functional theory (CDFT) to describe nuclear properties and its influence on Brueckner theory within the relativistic framework are focused upon. The challenges and ambiguities of predictions for unstable nuclei without data or for high-density nuclear matter, arising from relativistic density functionals, are discussed. The basic ideas in building an ab initio relativistic density functional for nuclear structure from ab initio calculations with realistic nucleon-nucleon interactions for both nuclear matter and finite nuclei are presented. The current status of fully self-consistent relativistic Brueckner-Hartree-Fock (RBHF) calculations for finite nuclei or neutron drops (ideal systems composed of a finite number of neutrons and confined within an external field) is reviewed. The guidance and perspectives towards an ab initio covariant density functional theory for nuclear structure derived from the RBHF results are provided.

arXiv comment67 pages, 26 figures, version accepted for publication in "Progress in Particleand Nuclear Physics"

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Cited by in corpus (58)

• Ab Initio Treatment of Collective Correlations and the Neutrinoless Double Beta Decay of ${}^{48}$Ca
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Deformed relativistic Hartree-Bogoliubov theory in continuum with point coupling functional: examples of even-even Nd isotopes
• Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg
• Dibaryon with highest charm number near unitarity from lattice QCD
• Parametric correlations in energy density functionals
• Accurate relativistic chiral nucleon-nucleon interaction up to NNLO
• Nuclear matter in relativistic Brueckner-Hartree-Fock theory with Bonn potential in the full Dirac space
• Prediction of Nuclear Charge Density Distribution with Feedback Neural Network
• New magicity $N=32$ and $34$ triggered by strong couplings between Dirac inversion partners
• Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei
• Relativistic effects and three-body interactions in atomic nuclei
• Nuclear Matter and Neutron Stars from Relativistic Brueckner-Hartree-Fock Theory
• Asymmetric Nuclear Matter and Neutron Star Properties in Relativistic ab initio Theory in the Full Dirac Space
• Global prediction of nuclear charge density distributions using deep neural network
• Covariant Density Functional Theory with Localized Exchange Terms
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Relativistic chiral description of the ${}^1{S}_0$ nucleon-nucleon scattering
• Finite amplitude method on the deformed relativistic Hartree-Bogoliubov theory in continuum: The isoscalar giant monopole resonance in exotic nuclei
• Saturation of nuclear matter in the relativistic Brueckner Hatree-Fock approach with a leading order covariant chiral nuclear force
• Toward ab initio charge symmetry breaking in nuclear energy density functionals
• Prolate-oblate asymmetric shape phase transition in the interacting boson model with SU (3) higher-order interactions
• Improvement of functionals in density functional theory by the inverse Kohn--Sham method and density functional perturbation theory
• Calculation of microscopic nuclear level densities based on covariant density functional theory
• Properties of nuclear matter in relativistic Brueckner-Hartree-Fock model with high-precision charge-dependent potentials
• Non-relativistic expansion of Dirac equation with spherical scalar and vector potentials by reconstituted Foldy-Wouthuysen transformation
• Symmetry energy properties of neutron-rich nuclei from the coherent density fluctuation model applied to nuclear matter calculations with Bonn potentials
• Reconciling light nuclei and nuclear matter: relativistic $abinitio$ calculations
• Quenched Λ spin-orbit splitting by relativistic Fock diagram in single-Λ hypernuclei
• Tensor-force effects on nuclear matter in relativistic ab initio theory
• Optimized nuclear energy density functionals including long-range pion contributions
• Properties of ${}^{208}$Pb predicted from the relativistic equation of state in the full Dirac space
• Triaxial relativistic Hartree-Bogoliubov theory in continuum for exotic nuclei
• Hadron-quark phase transition in neutron star by combining the relativistic Brueckner-Hartree-Fock theory and Dyson-Schwinger equation approach
• The nuclear symmetry energy from relativistic Brueckner-Hartree-Fock model
• Configuration interaction relativistic Hartree-Fock model
• Impact of intrinsic electromagnetic structure on the nuclear charge radius in relativistic density functional theory
• Tensor-force effects on shell-structure evolution in $N=82$ isotones and $Z=50$ isotopes in the relativistic Hartree-Fock theory
• From spin to pseudospin symmetry: The origin of magic numbers in nuclear structure
• The MC-QTAIM: A framework for extending the atoms in molecules analysis beyond purely electronic systems
• Exploring effects of tensor force and its strength via neutron drops
• Reveal short range interactions between $u/d$ quarks in the $NN$, $D_{03}$, and $D_{30}$ systems
• Ground state and fission properties of even-$A$ uranium isotopes from multidimensionally-constrained relativistic mean field model
• Connecting Relativistic Density Functional Theory to Microscopic Calculations
• Structural and decay properties of nuclei appearing in the $\alpha$-decay chains of ${}^{296,298,300,302,304}$120 within the relativistic mean-field formalism
• Exposing minimal composition of Kohn-Sham theory and its extendability
• Relativistic Mean-Field Approach in Nuclear Systems
• Investigation of ground state properties and shape evolution in Hf isotopes using the CDFT approach
• In-medium nucleon-nucleon cross sections from relativistic ab initio calculations
• Quark exchange effects in single flavored dibaryons
• Non-local orbital-free density functional theory incorporating nuclear shell effects
• The coexistence of possible magnetic and chiral rotation in ${}^{129}\mathrm{Cs}$ and ${}^{131}\mathrm{La}$: a microscopic investigation
• Impact of finite-range spin-orbit and tensor terms in Gogny EDF
• Accurate relativistic density functional for exchange energy of atomic nuclei
• Relativistic Brueckner-Hartree-Fock Theory in Infinite Nuclear Matter
• Fermions with long and finite range interactions on a quantum ring
• Volution of nuclear spin-orbit splittings with Skyrme functional SAMi-T
• Shape transitions and ground-state properties of tungsten isotopes in covariant density functional theory