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

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• Nuclear superfluidity for antimagnetic rotation in ${}^{105}$Cd and ${}^{106}$Cd
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• Global prediction of nuclear charge density distributions using deep neural network
• Covariant Density Functional Theory with Localized Exchange Terms
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• Multi-chiral facets in symmetry restored states: Five chiral doublets candidates in even-even nucleus ${}^{136}$Nd
• Magnetic rotations in 198Pb and 199Pb within covariant density functional theory with pairing correlations
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• Effects of proton angular momentum alignment on the two-shears-like mechanism in ${}^{101}$Pd
• Microscopic description of triaxiality in Ru isotopes with covariant energy density functional theory
• Nuclear chiral rotation induced by superfluidity
• Effects of rotation and valence nucleons in molecular-like $\alpha$-chain nuclei
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• Calculation of microscopic nuclear level densities based on covariant density functional theory
• Emergence of High-Order Deformation in Rotating Transfermium Nuclei: A Microscopic Understanding
• Single particle in a reflection-asymmetric potential
• Finite-nuclear-size effect in hydrogen-like ions with relativistic nuclear structure
• Tidal wave in ${}^{102}$Pd: An extended five-dimensional collective Hamiltonian description
• In-beam spectroscopy of medium- and high-spin states in ${}^{133}$Ce
• Global $\alpha$-decay study based on the mass table of the relativistic continuum Hartree-Bogoliubov theory
• Configuration interaction projected density functional theory: effects of four-quasiparticle configurations and time-odd interactions
• Nuclear chart in covariant density functional theory with dynamical correlations: From Oxygen to Tin
• Revisiting the extraction of charge radii of ${}^{40}$Ca and ${}^{208}$Pb with muonic atom spectroscopy
• Chiral dynamics in soft triaxial nuclei
• Statistical errors in Weizsaecker-Skyrme mass model
• Theoretical investigation of the antimagnetic rotation in ${}^{104}$Pd
• Possible antimagnetic rotation bands in ${}^{100}$Pd: a particle-number conserving investigation
• The $\Delta I$=2 bands in ${}^{109}$In: possible antimagnetic rotation
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• The extraction of higher-order radial moments of nuclear charge density from muonic atom spectroscopy
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