Excitation energies and transition probabilities of the first $2^{+}$ excitations in even tin and lead isotopes as well as the quadrupole moments of odd neighbors of these isotopes are calculated within the self-consistent theory of finite Fermi systems based on the energy density functional by Fayans et al. [Nucl. Phys. A 676, 49 (2000)]. The effect of the density dependence of the effective pairing interaction is analyzed in detail by comparing results obtained with volume and surface pairing. The effect is found to be noticeable. For example, the $2^{+}$ energies are systematically higher at 200–400 keV for the volume paring as compared with the surface-pairing case. However, on the average, both models reasonably agree with the data. Quadrupole moments of odd-neutron nuclei are very sensitive to the single-particle energy of the state $\lambda$ under consideration owing to the Bogolyubov factor ($u_{\lambda }^2-v_{\lambda }^2$). A reasonable agreement with experiment for the quadrupole moments has been obtained for the most part of odd nuclei considered. The method used gives a reliable possibility to predict quadrupole moments of unstable odd nuclei, including very neutron rich ones.

• Received 12 August 2011

DOI:https://doi.org/10.1103/PhysRevC.84.064324