Description of ${}^{178}$Hf${}^{m2}$ in the constrained relativistic mean field theory

Abstract

The properties of the ground state of ${}^{178}$Hf and the isomeric state ${}^{178}$Hf${}^{m2}$ are studied within the adiabatic and diabatic constrained relativistic mean field (RMF) approaches. The RMF calculations reproduce well the binding energy and the deformation for the ground state of ${}^{178}$Hf. Using the ground state single-particle eigenvalues obtained in the present calculation, the lowest excitation configuration with $K^{\pi }=16^{+}$ is found to be $\nu (7/2^{-}[514]{)}^{-1}(9/2^{+}[624]{)}^1$ $\pi (7/2^{+}[404]{)}^{-1}(9/2^{-}[514]{)}^1$. Its excitation energy calculated by the RMF theory with time-odd fields taken into account is equal to 2.801 MeV, i.e., close to the ${}^{178}$Hf${}^{m2}$ experimental excitation energy 2.446 MeV. The self-consistent procedure accounting for the time-odd component of the meson fields is the most important aspect of the present calculation.

12 pages(preprint), 2 figures, 1 table

References in corpus (7)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling
• Spin symmetry in the anti-nucleon spectrum
• Masses, Deformations and Charge Radii--Nuclear Ground-State Properties in the Relativistic Mean Field Model
• Time-odd triaxial relativistic mean field approach for nuclear magnetic moments
• Nuclear structure of 178Hf related to the spin-16, 31-year isomer
• Constrained relativistic mean field approach with fixed configurations

Cited by in corpus (1)

• Deformed relativistic Hartree-Bogoliubov theory in continuum with point coupling functional: examples of even-even Nd isotopes