Local Part of Two Neutron Separation Energies: Signature of Ground State Phase Transition

In this paper, we have considered the evolution of the local part of two neutron separation energies in the Zr, Gd, Sm, Ba, Xe, Os and Pt isotopic chain. We have used the interacting boson model as the most widely used approach to study the quantum phase transitions in nuclei to determine the global and local parts of two neutron separation energies. The constants of relations are extracted in comparison with the experimental counterparts. Theoretical predictions reproduce the experimental counterparts with high accuracy. Also, the signals of phase transition in some nuclei that show sudden changes in local part of two neutron separation energies are greatly enhanced and show the ability of the interacting boson model calculations to reproduce this picture.