Bohr Hamiltonian with inversely quadratic Yukawa plus screened Kratzer potential for triaxial nuclei

Abstract

Bohr Hamiltonian with inversely quadratic Yukawa plus screened Kratzer potential for the [Formula: see text]-part and a harmonic oscillator for the [Formula: see text]-part is investigated. The expressions of energies and wave functions are obtained using the parametric Nikiforov–Uvarov method. The obtained results are used to evaluate the normalized eigen energies, the root mean square deviation and [Formula: see text] transition rates of [Formula: see text]Pt, [Formula: see text]Pt and [Formula: see text]Pt atomic nuclei. The numerical results of our model are compared to those of other relevant theoretical models and experimental data. Furthermore, to test the sensitive signature of triaxiality, we used some indicators such as the staggering effect in the [Formula: see text]-band. It appears that the results provided by our calculations are in accordance with experimental values and improved in comparison with previous models.