Shell-model-like approach based on cranking covariant density functional theory: bandcrossing and shape evolution in ${}^{60}$Fe

Abstract

The shell-model-like approach is implemented to treat the cranking many-body Hamiltonian based on the covariant density functional theory including pairing correlations with exact particle number conservation. The self-consistency is achieved by iterating the single-particle occupation probabilities back to the densities and currents. As an example, the rotational structures observed in the neutron-rich nucleus ${}^{60}$Fe are investigated and analyzed. Without introducing any \emph{ad hoc} parameters, the bandheads, the rotational spectra, and the relations between the angular momentum and rotational frequency for the positive parity band A, and negative parity bands B and C are well reproduced. The essential role of the pairing correlations is revealed. It is found that for band A, the bandcrossing is due to the change of the last two occupied neutrons from the $1f_{5/2}$ signature partners to the $1g_{9/2}$ signature partners. For the two negative parity signature partner bands B and C, the bandcrossings are due to the pseudo-crossing between the $1f_{7/2,5/2}$ and the $1f_{5/2,1/2}$ orbitals. Generally speaking, the deformation parameters $\beta$ for bands A, B, and C decrease with rotational frequency. For band A, the deformation jumps from $\beta \sim 0.19$ to $\beta \sim 0.29$ around the bandcrossing. In comparison with its signature partner band C, band B exhibits appreciable triaxial deformation.

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• Insight into nuclear midshell structures by study of $K$-isomers in rare-earth neutron-rich nuclei
• Nuclear chiral rotation induced by superfluidity
• Emergence of High-Order Deformation in Rotating Transfermium Nuclei: A Microscopic Understanding
• Abnormal Bifurcation of the Double Binding Energy Differences and Proton-Neutron Pairing: Nuclei Close to $N=Z$ Line from Ni to Rb
• Particle number conserving BCS approach in the relativistic mean field model and its application to ${}^{32-74}$Ca
• Systematic investigation of the high-$K$ isomers and the high-spin rotational bands in the neutron rich Nd and Sm isotopes by a particle-number conserving method
• Theoretical investigation of the antimagnetic rotation in ${}^{104}$Pd
• Thermodynamics of pairing transition for Odd-A nuclei
• Shell-model-like approach based on cranking covariant density functional theory with a separable pairing force
• Backbendings of Superdeformed bands in ${}^{36,40}$Ar
• Configuration and bandhead spin assignments for the 2-quasiparticle rotational bands in the neutron-rich nuclei ${}^{154,156}$Pm
• Band crossings in ${}^{168}$Ta: a particle-number conserving analysis
• Models for Pairing Phenomena
• Systematic investigation of the high-spin structures in the odd-odd nuclei ${}^{166,168,170,172}$Re by a particle-number conserving method