Shape coexistence in the lead isotopes using algebraic models: Description of spectroscopic and ground-state related properties

A three-configuration mixing calculation is presented in the context of the Interacting Boson Model (IBM1), with the aim to describe recently observed collective bands built on low-lying 0(+) states in the neutron-deficient lead isotopes. Possible effects on the nuclear binding energy are addressed, caused by mixing of these low-lying 0(+) intruder states into the ground state, and a new method is described in order to provide a consistent description of both ground-state and excited-state properties.