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The nuclear structure of even-even and odd lead isotopes (178-236 Pb) isinvestigated within the Hartree-Fock-Bogoliubov theory. Calculations areperformed for a wide range of neutron numbers, starting from the proton-richside up to the neutron-rich side, by using the SLy4 Skyrme interaction and anew proposed formula for the pairing strength which is more precise for thisregion of nuclei as we did in previous works in the regions of Neodymium (Nd,Z=60) [Int. J. Mod. Phys. E 24, 1550073 (2015)] and Molybdenum (Mo, Z=42) [Nuc.Phys. A 957 22-32 (2017)]. Such a new pairing strength formula allows reachingexotic nuclei region where the experimental data are not available. Calculatedvalues of various physical quantities such as binding energy, two-neutronseparation energy, and rms-radii for protons and neutrons are discussed andcompared with experimental data and some estimates of other nuclear models likeFinite Range Droplet Model (FRDM), Relativistic Mean Field (RMF),Density-Dependent Meson-Exchange Relativistic Energy Functional (DD-ME2) andresults of Hartree-Fock-Bogoliubov calculations based on the D1S Gognyeffective nucleon-nucleon interaction (Gogny D1S).

Investigation of ground-state properties of even-even and odd Pb isotopes within Hartree-Fock-Bogoliubov theory