Relativistic Hartree-Bogoliubov description of ground-state properties of Ni and Sn isotopes

Abstract

The Relativistic Hartree Bogoliubov (RHB) theory is applied in the description of ground-state properties of Ni and Sn isotopes. The NL3 parameter set is used for the effective mean-field Lagrangian, and pairing correlations are described by the pairing part of the finite range Gogny interaction D1S. Fully self-consistent RHB solutions are calculated for the Ni (28≤ N≤ 50) and Sn (50≤ N≤ 82) isotopes. Binding energies, neutron separation energies, and proton and neutron rms radii are compared with experimental data. The model predicts a reduction of the spin-orbit potential with the increase of the number of neutrons. The resulting energy splittings between spin-orbit partners are discussed, as well as pairing properties calculated with the finite range effective interaction in the pp channel.

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