Magnetic rotations in 198Pb and 199Pb within covariant density functional theory

Abstract

Well-known examples of shears bands in the nuclei 198Pb and 199Pb are investigated within tilted axis cranking relativistic mean-field theory. Energy spectra, the relation between spin and rotational frequency, deformation parameters and reduced $M1$ and $E2$ transition probabilities are calculated. The results are in good agreement with available data and with calculations based on the phenomenological pairing plus-quadrupole-quadrupole tilted-axis cranking model. It is shown that covariant density functional theory provides a successful microscopic and fully self-consistent description of magnetic rotation in the Pb region showing the characteristic properties as the shears mechanism and relatively large B(M1) transitions decreasing with increasing spin.

22 pages, 8 figures

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Cited by in corpus (17)

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• Shell-model-like approach based on cranking covariant density functional theory: bandcrossing and shape evolution in ${}^{60}$Fe
• Yrast band of 109Ag described by tilted axis cranking covariant density functional theory with a separable pairing force
• Explore nuclear multiple chirality in $A\sim 60$ mass region within covariant density functional theory
• Magnetic rotations in 198Pb and 199Pb within covariant density functional theory with pairing correlations
• Covariant density functional theory for nuclear chirality in ${}^{135}$Nd
• New high-spin structure and possible chirality in ${}^{109}$In
• 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
• Analytic approach to nuclear rotational states: The role of spin - A minimal model -
• The coexistence of possible magnetic and chiral rotation in ${}^{129}\mathrm{Cs}$ and ${}^{131}\mathrm{La}$: a microscopic investigation