Relativistic mean-field description of neutron-deficient platinum isotopes.

Abstract

We have studied neutron-deficient even-mass platinum isotopes in the framework of the relativistic mean-field theory. The ground-state properties of nuclei have been calculated in the {sigma}{omega}{rho} model with the nonlinear scalar self-interaction of the {sigma} meson. The charge radii, binding energies, and deformation properties have been obtained in the relativistic Hartree approximation with deformed basis. Solutions have been obtained for both the prolate as well as oblate shapes. A comparison of the calculated properties has been made with data from recent measurements on these nuclei performed at the ISOLDE project at CERN. It has been shown that the isotopic shift measurements reveal an oblate shape for all even platinum isotopes, in contrast with some existing theoretical calculations which indicate prolate shape for highly neutron-deficient isotopes.