Multidimensionally-constrained covariant density functional theories --- nuclear shapes and potential energy surfaces

Abstract

The intrinsic nuclear shapes deviating from a sphere not only manifest themselves in nuclear collective states but also play important roles in determining nuclear potential energy surfaces (PES's) and fission barriers. In order to describe microscopically and self-consistently nuclear shapes and PES's with as many shape degrees of freedom as possible included, we developed multidimensionally-constrained covariant density functional theories (MDC-CDFTs). In MDC-CDFTs, the axial symmetry and the reflection symmetry are both broken and all deformations characterized by ${\beta }_{\lambda \mu }$ with even $\mu$ are considered. We have used the MDC-CDFTs to study PES's and fission barriers of actinides, the non-axial octupole $Y_{32}$ correlations in $N=150$ isotones and shapes of hypernuclei. In this Review we will give briefly the formalism of MDC-CDFTs and present the applications to normal nuclei.

25 pages, 14 figures; to be published in Physica Scripta as an invited comment in a focus issue to celebrate the 40-year anniversary of the 1975 Nobel Prize to Aage Niels Bohr, Ben Roy Mottelson and Leo James Rainwater; Refs. [193, 194] modified and minor modifications made in v2

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Cited by in corpus (44)

• Deformed relativistic Hartree-Bogoliubov theory in continuum with point coupling functional: examples of even-even Nd isotopes
• Shape of atomic nuclei in heavy ion collisions
• Probing triaxial deformation of atomic nuclei in high-energy heavy ion collisions
• Microscopic study of induced fission dynamics of ${}^{226}$Th with covariant energy density functionals
• Dynamical synthesis of 4He in the scission phase of nuclear fission
• Microscopic self-consistent description of induced fission dynamics: finite temperature effects
• Rotating deformed halo nuclei and shape decoupling effects
• Spectroscopy of reflection-asymmetric nuclei with relativistic energy density functionals
• Stability of the linear chain structure for ${}^{12}$C in covariant density functional theory on a 3D lattice
• Tetrahedral shapes of neutron-rich Zr isotopes from multidimensionally-constrained relativistic Hartree-Bogoliubov model
• Time-dependent generator coordinate method study of mass-asymmetric fission of actinides
• Octupole deformation in the ground states of even-even $Z\sim 96,N\sim 196$ actinides and superheavy nuclei
• Microscopic analysis of induced nuclear fission dynamics
• Neutron drip line in the deformed relativistic Hartree-Bogoliubov theory in continuum: Oxygen to Calcium
• Ground state properties and potential energy surfaces of ${}^{270}$Hs from multidimensionally-constrained relativistic mean field model
• Angular momentum projection in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Probing the resonance in the Dirac equation with quadruple-deformed potentials by complex momentum representation method
• Anatomy of octupole correlations in ${}^{96}$Zr with a symmetry-restored multidimensionally-constrained covariant density functional theory
• Strength of pairing interaction for hyperons in multistrangeness hypernuclei
• New effective interactions for hypernuclei in density dependent relativistic mean field model
• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei with octupole correlations
• Examination of promising reactions with ${}^{241}$Am and ${}^{244}$Cm targets for the synthesis of new superheavy elements within the dinuclear system model with a dynamical potential energy surface
• Angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model
• An efficient solution for Dirac equation in 3D lattice space with the conjugate gradient method
• To reach neutron-rich heavy and superheavy nuclei by multinucleon transfer reactions with radioactive isotopes
• Time-dependent generator coordinate method study of fission: mass parameters
• Microscopic study of higher-order deformation effects on the ground states of superheavy nuclei around ${}^{270}$Hs
• Single particle in a reflection-asymmetric potential
• Microscopic model for the collective enhancement of nuclear level densities
• Accuracy of the mean-field theory in describing ground-state properties of light nuclei
• Impacts of hexadecapole deformations on the collective energy spectra of axially deformed nuclei
• Galaxy rotation favors prolate dark matter haloes
• Effects of the tensor force on low-energy heavy-ion fusion reactions: A mini review
• Microscopic description of hexadecapole collectivity in even-even rare-earth nuclei near $N=90$
• Triaxial relativistic Hartree-Bogoliubov theory in continuum for exotic nuclei
• Ground-state properties and structure evolutions of odd-$A$ transuranium Bk isotopes from deformed relativistic Hartree-Bogoliubov theory in continuum
• Prediction of the excitation energies of the 2${}_1^{+}$ states for superheavy nuclei based on the microscopically derived Grodzins relation
• Potential signature of new magicity from universal aspects of nuclear charge radii
• Ground state and fission properties of even-$A$ uranium isotopes from multidimensionally-constrained relativistic mean field model
• Meson effect in the proto neutron star PSR J0348+0432
• Fission barriers with Weizsäcker-Skyrme mass model
• The role of the elemental nature of A=3 nuclei in neutron-rich nuclei
• Tetrahedral shape and Lambda impurity effect in ${}^{80}$Zr with a multidimensionally constrained relativistic Hartree-Bogoliubov model
• Microscopic self-consistent description of induced fission: dynamical pairing degree of freedom