Description of octupole degrees of freedom in the U(5) <-> SO(13) transitional region

摘要

In this paper, we discuss the problem of describing the collective states with negative parity in even-even nuclei by adding f boson to the usual sd-interacting boson model. The sdf-interacting boson model, which includes monopole (s, L - 0), quadrupole (d, L - 2) and octupole (f, L - 3) degrees of freedom, enables analyzing the electric transitions of atomic nuclei. We proposed a solvable extended transitional Hamiltonian based on affine SU(1, 1) Lie algebra within the framework of the sdf-interacting boson model to describe the low-lying octupole states between the spherical and deformed gamma-unstable shapes. Numerical extraction to low-lying energy levels and transition probabilities within the control parameters of this evaluated Hamiltonian are presented for various N values. By reproducing the experimental results, the extended interacting boson model calculations provide a better description of Pd isotopes in this transitional region.