Ground-state properties of rare-earth nuclei in the relativistic Hartree-Bogoliubov model with density-dependent meson-nucleon couplings

The relativistic mean-field effective interaction with density-dependent meson-nucleon couplings DD-ME1 is tested in the calculation of deformed nuclei. Ground-state properties of six isotopic chains $\left(60⩽Z⩽70\right)$ in the region of rare-earth nuclei are calculated by using the relativistic Hartree-Bogoliubov (RHB) model with the DD-ME1 mean-field interaction, and with the Gogny D1S force for the pairing interaction. Results of fully self-consistent RHB calculations for the total binding energies, charge isotope shifts, and quadrupole deformation parameters are compared with the available empirical data.

Figure 1

The binding energies of Nd, Sm, Gd, Dy, Er, and Yb isotopes, calculated in the RHB model with the DD-ME1 interaction, are compared with experimental data [14].

Figure 2

Charge isotope shifts of Nd, Sm, Gd, Dy, Er, and Yb isotopes. The results of the RHB calculation with the DD-ME1 effective interaction, and with the Gogny D1S interaction in the pairing channel, are compared with empirical data [15].

Figure 3

Comparison between the DD-ME1 predictions for the ground-state quadrupole deformation parameters of the Nd, Sm, Gd, Dy, Er, and Yb isotopes, and empirical data [16].