Study of Nuclear Properties of Even-Even (164,166 and 168) W Isotopes in the Interaction Boson Model (IBM-1)

Abstract

This study presents a comprehensive analysis of tungsten isotopes (W) with atomic numbers ranging from 164 to 168 using the Interaction Boson Model (IBM-1). The properties and structures of these isotopes were investigated by considering three dynamic symmetries: rotational SU (3), O (6), and dynamic vibrational SU (5). By comparing practical energy ratios with ideal values for each dynamic symmetry, the classification of the isotopes in transitional regions was determined. Specifically, isotopes 164-166 were found to belong to the SU (3)-O (6) transitional region, while isotope 168 adhered to the SU (3)-O (6) region. The study computed the Hamiltonian function and quadrupole electric transition effect and compared theoretical and experimental energy levels. The determination of the number of valence bosons aided in characterizing the atomic composition of the studied isotopes. These findings enhance our understanding of the nuclear properties of tungsten isotopes within the framework of IBM-1, providing insights into their dynamic symmetries and energy levels.