Abstract
We have employed both unpaired (cranked Nilsson-Strutinsky) and paired (cranked Nilsson-Strutinsky-Bogoliubov) cranked Nilsson-Strutinsky calculations to explore the properties of observed and potential isomers within the shape-transitional osmium (Z=76) isotopes and N=116 isotones. Our analyses reveal the prevalence of multiquasiparticle prolate and broken-pair triaxial structures in even-even osmium isotopes (N=112-118) and N=116 isotones (Z=72-80). In addition, our exploration of N=116 isotones identifies potential isomeric states, systematically, including noncollective 10- and collective 12+ states, constructed upon specific neutron configurations.