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

Ground-state properties of Pr isotopes are studied in a framework of the re lativistic mean-field (RMF) theory using the recently proposed parameter se t TMI. Bardeen-Cooper-Schrieffer (BCS) approximation and blocking method is adopted to deal with pairing interaction and the odd nucleon, respectively . The pairing forces are taken to be isospin dependent. The domain of the v alidity of the BCS theory and the positions of neutron and proton drip line s are studied. It is shown that RMF theory has provided a Good description of the binding energy, isotope shifts and deformation of nuclei over a larg e range of Pr isotopes, which are in good agreement with those obtained ii, the finite-range droplet model.