A Theoretical Description of U(5)-SU(3) Nuclear Shape Transitions in the Interacting Boson Model

We investigated the evaluation of nuclear shape transition from spherical to axially rotational shapes using the Coherent state formalism of the first version of interacting boson model (sd IBM). The validity of such model is examined for rare-earth Nd/Sm/Gd/Dy isotopic chains by analyzing the potential energy surface (PES’s). In this region, a change from spherical to well-deformed nuclei is observed when moving from the lighter to heavier isotopes.