Nuclear Shape Transition Using Interacting Boson Model with the Intrinsic Coherent State

The values of the potential energy surface (PES) for the even-even isotopic chains of Nd/ Sm/ Gd/ Dy are studied systematically using the simplified form of interacting boson model (IBM) with intrinsic coherent state. The critical points have been determined for each isotope chain. The phase diagrams exhibits first-order shape phase transition from spherical U(5) to deformed axial symmetric prolate SU(3) when moving from light isotopes to heavy ones.