The magnification of structural anomalies with Grodzins systematic in the framework of Asymmetric Rotor Model

The dependence of Grodzins systematic as shape fluctuation energy product ESF⁎B(E2)↑ and rotational energy product EROT⁎B(E2)↑ on the Asymmetry parameter γ0 is carried out in the Z = 50-82, N = 82-126 major shell space. The Asymmetry parameter γ0, varying from 0° to 60°, reflects the change in nuclear structure from prolate to oblate. Strong anomalies are highlighted in the shape transitional isotopes. The product ESF⁎B(E2)↑ evolves from low negative values for vibrator nuclei, passing close to zero and then substantially increasing towards triaxial rotor limit with γ0∼30°. However, the product EROT⁎B(E2)↑ decreases as a function of γ0 for all the nuclei approaching towards triaxiality from Z = 50-82, N = 82-126. Anomalies are also noticed for the N>104 region where the product EROT⁎B(E2)↑ decreases in zigzag phase for 188-196Pt isotopes corresponding to γ0∼25-30° and this reflects the breakdown of coherence between rotational energy EROT and excitation strength B(E2)↑. The product EROT⁎B(E2)↑ indicates the shape phase transition for Pt isotopic chain from spherical to γ−soft to slightly triaxial. We have studied for the first time the role of Grodzins systematic ESF and EROT in the framework of Asymmetric Rotor Model.