A full calculation of Zr and Sn isotopes in the Relativistic Mean Field theory

The ground-state properties of Zr and Sn isotopes are studied within the relativistic mean field theory. Zr and Sn isotopes have received tremendous attentions due to various reasons, including the predicted giant halos in neutron-rich Zr isotopes, the unique feature of being robust spherical in the region of 100 Sn ∼ 132 Sn and the particular interest of Sn isotopes to nuclear astrophysics. Furthermore, four magic numbers, 40, 50, 82 and 126, make these two isotopes particularly important to test a microscopic model. In the present work, we carry out a full calculation of Zr and Sn isotopes from the proton drip line to the neutron drip line with deformation , pairing correlations and blocking effect for even-odd nuclei included. A quadrupole constrained calculation is performed to find the absolute minimum for each nucleus. All ground-state properties, including separation energies, odd-even staggering (OES), nuclear radii, deformations and single-particle spectra are analyzed and discussed in detail.