Covariant density functional theory for antimagnetic rotation

Abstract

Following the previous letter on the first microscopic description of the antimagnetic rotation (AMR) in 105Cd, a systematic investigation and detailed analysis for the AMR band in the frame-work of tilted axis cranking (TAC) model based on covariant density functional theory are carried out. After performing the microscopic and self-consistentTAC calculations with an given density functional, the configuration for the observed AMR band in 105Cd is obtained from the single-particle Routhians. With the configuration thus obtained, the tilt angle for a given rotational frequency is determined self-consistently by minimizing the total Routhian with respect to the tilt angle. In such a way, the energy spectrum, total angular momenta, kinetic and dynamic moments of inertia, and the B(E2) values for the AMR band in 105Cd are calculated. Good agreement with the data is found. By investigating microscopically the contributions from neutrons and protons to the total angular momentum, the "two-shears-like" mechanism in the AMR band is clearly illus-trated. Finally, the currents leading to time-odd mean fields in the Dirac equation are presented and discussed in detail. It is found that they are essentially determined by the valence particles and/or holes. Their spatial distribution and size depend onthe specific single-particle orbitals and the rotational frequency.

35 pages, 17 figures, accepted by Phys. Rev. C

References in corpus (13)

• 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
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling
• Time-odd components in the mean field of rotating superdeformed nuclei
• Antimagnetic Rotation Band in Nuclei: A Microscopic Description
• Novel structure for magnetic rotation bands in 60Ni
• Relativistic mean field description for the shears band mechanism in ${}^{84}$Rb
• Time-odd triaxial relativistic mean field approach for nuclear magnetic moments
• Systematics of Anti magnetic rotation in even-even Cd isotopes
• Magnetic rotations in 198Pb and 199Pb within covariant density functional theory
• Deformation effect on the center-of-mass correction energy in nuclei ranging from Oxygen to Calcium
• General Relativistic Mean Field Theory for Rotating Nuclei

Cited by in corpus (37)

• The limits of the nuclear landscape explored by the relativistic continuum Hatree-Bogoliubov theory
• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
• Rod-shaped Nuclei at Extreme Spin and Isospin
• Deformed relativistic Hartree-Bogoliubov theory in continuum with point coupling functional: examples of even-even Nd isotopes
• Multiple Chirality in Nuclear Rotation: A Microscopic View
• Multiple chiral doublet bands of identical configuration in 103Rh
• Crucial test for covariant density functional theory with new and accurate mass measurements from Sn to Pa
• Stability of the linear chain structure for ${}^{12}$C in covariant density functional theory on a 3D lattice
• Feasibility of the finite amplitude method in covariant density functional theory
• Impact of pairing correlations on the orientation of the nuclear
• Effects of pairing, continuum, and deformation on particles in the classically forbidden regions for Mg isotopes
• Optimized Dirac Woods-Saxon basis for covariant density functional theory
• Configuration interaction in symmetry-conserving covariant density functional theory
• Shell-model-like approach based on cranking covariant density functional theory: bandcrossing and shape evolution in ${}^{60}$Fe
• Nuclear superfluidity for antimagnetic rotation in ${}^{105}$Cd and ${}^{106}$Cd
• Rotational excitations in rare-earth nuclei: a comparative study within three cranking models with different mean fields and the treatments of pairing correlations
• Yrast band of 109Ag described by tilted axis cranking covariant density functional theory with a separable pairing force
• Coupling of shape and pairing vibrations in a collective Hamiltonian based on nuclear energy density functionals
• Explore nuclear multiple chirality in $A\sim 60$ mass region within covariant density functional theory
• A microscopic resolution of the chiral conundrum with crossing twin bands in Ag-106
• Magnetic rotations in 198Pb and 199Pb within covariant density functional theory with pairing correlations
• 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
• Emergence of High-Order Deformation in Rotating Transfermium Nuclei: A Microscopic Understanding
• Local variations of charge radii for nuclei with even $Z$ from 84 to 120
• Global $\alpha$-decay study based on the mass table of the relativistic continuum Hartree-Bogoliubov theory
• New high-spin structure and possible chirality in ${}^{109}$In
• Nuclear chart in covariant density functional theory with dynamical correlations: From Oxygen to Tin
• The $\Delta I$=2 bands in ${}^{109}$In: possible antimagnetic rotation
• Theoretical investigation of the antimagnetic rotation in ${}^{104}$Pd
• Electromagnetic transitions in multiple chiral doublet bands
• Systematic investigations of positive-parity doublet bands with three-quasiparticle configurations in ${}^{125,127,129,131}$Cs
• Evolution of $N=28$ shell closure in relativistic continuum Hartree-Bogoliubov theory
• Energy staggering parameters in nuclear magnetic rotational bands
• Configuration and bandhead spin assignments for the 2-quasiparticle rotational bands in the neutron-rich nuclei ${}^{154,156}$Pm
• Extending the nuclear chart by continuum: from oxygen to titanium