A New IBM-1 Hamiltonian Parameterization Based on Dynamical Symmetry for Even-Even Se74-78, Ru104-106 and Mo106-108

The present study investigates the dynamical symmetries of even-even Se^74-78, Ru^104-106 and Mo^106-108 isotopes within the framework of the Interacting Boson Model-1 (IBM-1). The analysis explores the three fundamental symmetry groups: SU(5) (vibrational), O(6) (gamma-soft), and SU(3) (rotational). Energy levels were calculated using newly optimized Hamiltonian parameterizations based on the U(6) unitary group structure in six dimensions, and the results were compared with experimental data, demonstrating excellent agreement. A key finding of this study is that for each nucleus, the predominant Hamiltonian parameter can be selectively adjusted to achieve an optimal theoretical-experimental match, particularly in relation to the E4/E2 energy ratio. This approach provides a systematic and efficient method for refining Hamiltonian parameterization, offering a standardized technique to enhance the accuracy of nuclear structure studies. The findings contribute to a deeper understanding of nuclear collective motion and may serve as a foundation for further advancements in theoretical nuclear physics.