Bohr Hamiltonian with Hulthen plus screened Kratzer potential using super symmetric quantum mechanics

Abstract

In this paper, we look for a novel analytical solution of the Bohr Hamiltonian in the presence of the Hulthen plus screened Kratzer potential in [Formula: see text]-part of the collective nuclear potential. The new expression for the energy spectra is obtained using the method of super symmetric quantum mechanics. The effect of the Hulthen plus screened Kratzer potential is studied on root mean square deviation, and normalized eigen energies of ground state band, [Formula: see text]-band and [Formula: see text]-band of 192Pt, 194Pt and 196Pt atomic nuclei. The [Formula: see text] transition rates are calculated for the latter potential. Furthermore, our results are compared with experimental data, and other relevant theoretical works. We discuss on how the combination of these two potentials makes it possible to improve the results of energy spectra and quadrupole transitions of triaxial nuclei. We discuss the quantitative and qualitative descriptions concerning the structure of the nucleus using some indicators such as root mean square and staggering of the [Formula: see text]-band. The results provided by our model are found to be in good agreement with experimental data and improved in comparison with previous works.