The Quadrupole–dipole Collectivity in Heavy Nuclei in the Framework of the U(10) and U(20) Algebras

We investigate a manifestation of low-energy dipole collectivity in heavy nuclei, known as clustering, using algebraic techniques. In the first step, the connection of the nuclear vibron model to the U(10) algebra (spanned by four types of bosons, within the interacting boson model I (IBM-I)) is extended to other possible models through a detailed study of the U(10) subalgebras. Subsequently, the ability of the vibron model to reproduce the experimental data is extended to a wider region of heavy nuclei belonging to the rare-earth and actinide regions. A more realistic irrep labelling has been introduced to take into account the Wildermuth condition. In a second step, we upgrade the model to the IBM-II level involving the U(20) algebra, where a new \(G\)-spin and hybrid limits have been introduced. Abstract Published by the Jagiellonian University 2025 authors