Investigation of Bohr Hamiltonian in presence of Killingbeck potential using bi-confluent Heun functions

In this study, Bohr Hamiltonian is studied for the triaxial and rotational cases. In both cases, Killingbeck potential is used as interaction. The wave function and energy of these cases are found using bi-confluent Heun functions. The results are examined by reproducing experimental data of some isotopes for each case. Energy levels of the isotopes are shown graphically as well as theoretical results for staggering in γ bands of the isotopes is discussed. In the next step, we argue about B(E2) transition rates of the isotopes for each case. The results have a good agreement with experimental data.