Reexamination of Staggering in Gamma Band Energy: A Novel Formulation to Understand Shape Transitions in Nuclei

The study of deformed atomic nuclei focuses on distinguishing between axial γ-rigid and γ-soft asymmetric configurations. In our groundbreaking research, we offer a staggering parameter S(4) as an indicator, linking it with the asymmetry parameter (γ0) and the Grodzins product (E(2₁⁺)*B(E2)) in distorted nuclei. This work uses empirical data to determine a first-order phase change in nuclei by examining the association between rotational momentum (J=4). This method answers long-standing concerns and is used to well-deformed isotopes (Gd to Hf). This revolutionary method's simplicity suggests that it has a wide range of applications.