Impact of decimal power potential and screened in the isotope of platinum spectra

Abstract

In this work, the impact of screened and decimal potential to the energy spectra and eigenfunctions associated with these energies is investigated in the case of specific, triaxial platinum isotope nuclei namely: [Formula: see text]Pt, [Formula: see text]Pt and [Formula: see text]Pt for numerical results and the plotting of the curves of the potential. To better do this work, we rely on the Extended Nikiforov–Uvarov method and general Heun equation using the Bohr Hamiltonian operator in the presence of a modified fractional Kratzer screened potential. Our calculated energies and associated wave functions here take into account the screening factor and decimal power of potential term. We discuss steeply the impact of the screened parameter k on the spectra of the quantum energies. The results obtained and their transition are closer to the experimental values than those of other researchers with whom we made the comparison. We prove that the power of decimal term influences well the energy. At this stage, the nucleons of nucleus remain at the bottom of the potential. Consequently, there follows a great stability of the nucleus atomic by improving or reducing the decimal power term contained in the potential, one obtained with great instability, that can lead to other atomic phenomena like radioactivity.