Application of the controlled single particle concept in the γ-rigid Bohr Hamiltonian for γ = 30∘

Abstract

In this paper, we study odd-A nuclei. To do this study we use the controlled single particle concept which involves an even-even core and a single particle that is controlled by the core. Assuming that the core can be expressed by the γ-rigid Bohr Hamiltonian for γ=30∘ we want to study such a system. Therefore, the Hamiltonian of the odd-A nucleus is constructed then eigenfunction and eigenvalues related to the system are derived. To examine the results, 189Ir has been considered as an experimental candidate for our study. Theoretical predictions of energy rates and B(E2) transition rates are compared with experimental reports. The results show a good agreement with experimental data.