Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation

Abstract

Magnetic rotation and antimagnetic rotation are exotic rotational phenomena observed in weakly deformed or near-spherical nuclei, which are respectivelyinterpreted in terms of the shears mecha-nism and two shearslike mechanism. Since their observations, magnetic rotation and antimagnetic rotation phenomena have been mainly investigated in the framework of tilted axis cranking based on the pairing plus quadrupole model. For the last decades, the covariant density functional theory and its extension have been proved to be successful in describing series of nuclear ground-states and excited states properties, including the binding energies, radii, single-particle spectra, resonance states, halo phenomena, magnetic moments, magnetic rotation, low-lying excitations, shape phase transitions, collective rotation and vibrations, etc. This review will mainly focus on the tilted axis cranking covariant density functional theory and its application for the magnetic rotation and antimagnetic rotation phenomena.

53 pages, 19 figures

References in corpus (12)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Novel structure for magnetic rotation bands in 60Ni
• Pseudospin symmetry in single particle resonant states
• Covariant density functional theory for antimagnetic rotation
• Pseudo-spin symmetry in density-dependent relativistic Hartree-Fock theory
• Perturbative interpretation of relativistic symmetries in nuclei
• Crucial test for covariant density functional theory with new and accurate mass measurements from Sn to Pa
• Spin symmetry in Dirac negative energy spectrum in density-dependent relativistic Hartree-Fock theory
• Systematics of Anti magnetic rotation in even-even Cd isotopes
• Localized form of Fock terms in nuclear covariant density functional theory
• One-pion exchange current corrections for nuclear magnetic moments in relativistic mean field theory

Cited by in corpus (22)

• Surface diffuseness correction in global mass formula
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Rod-shaped Nuclei at Extreme Spin and Isospin
• Multiple Chirality in Nuclear Rotation: A Microscopic View
• Multiple chiral doublet bands of identical configuration in 103Rh
• Global study of beyond-mean-field correlation energies in covariant energy density functional theory using a collective Hamiltonian method
• Specific features and symmetries for magnetic and chiral bands in nuclei
• Multiple chiral doublet bands with octupole correlations in reflection-asymmetric triaxial particle rotor model
• Two-dimensional collective Hamiltonian for chiral and wobbling modes
• Improved radial basis function approach with the odd-even corrections
• Collective Hamiltonian for wobbling modes
• Three-dimensional mesh calculations for covariant density functional theory
• Systematic study of shell gaps in nuclei
• Configuration interaction in symmetry-conserving covariant density functional theory
• Yrast band of 109Ag described by tilted axis cranking covariant density functional theory with a separable pairing force
• Wobbling motion in ${}^{135}$Pr within a collective Hamiltonian
• A microscopic resolution of the chiral conundrum with crossing twin bands in Ag-106
• Multi-chiral facets in symmetry restored states: Five chiral doublets candidates in even-even nucleus ${}^{136}$Nd
• Effects of proton angular momentum alignment on the two-shears-like mechanism in ${}^{101}$Pd
• Statistical errors in Weizsaecker-Skyrme mass model
• Electromagnetic transitions in multiple chiral doublet bands
• Pseudospin symmetry in nuclear structure and its supersymmetric representation