Ground-state properties of Z = 59 isotopic chain in the relativistic mean-field theory

The ground-state properties of Pr isotopic chain have been studied in the framework of the relativistic mean-field (RMF) theory. The pairing correlation is treated by BCS method and the isospin dependent pairing forces have been used. The 'blocking' method is used to deal with the unpaired nucleon and the axially symmetric deformation is assumed. The theoretical results show that the RMF theory with non-linear meson self interactions provides a good description of the binding energy, the deformation of nuclei, the density distributions of neutrons and protons, the isotope shifts and so on over a large isospin range of Pr isotopes. The theoretical results are in good agreement with those obtained from the Finite Range Droplet Model. The domain of the validity of the BCS approximation is checked, and the extent and the origin of the BCS failure are studied