Study of structural and decay properties of even-even Pb isotopes within CDF theory

Numerical calculations of the structural and decay ground state properties of the even-even isotopes of lead Pb are presented. Such calculations are based on the relativistic Hartree-Bogoliubov method using the DDME2 and DD-PC1 effective interactions. Predictions for binding energies, two neutron separation energies, two-neutron gaps, pairing energies, charge radii and α-decay properties are presented and discussed. The study shows that the relativistic Hartree-Bogoliubov theory is able to describe, with high accuracy, the ground state properties of Pb isotopes. In addition, the well-known number magic N=126 is reproduced and the N=184 is established as as candidate magic number for neutron in the exotic region. keywords : Relativistic Hartree-Bogoliubov method; Pb isotopes; Binding energy; two-neutron separation energies; two-neutron gaps; pairing energy; α-decay properties. (author)