Conformable fractional Bohr Hamiltonian with a four inverse power terms potential for triaxial nuclei

Abstract

In this paper, we look for a novel analytical solution of the Conformable Fractional Bohr Hamiltonian in the presence of a four inverse power terms potential in [Formula: see text]-part of the collective nuclear potential. The new expression for the wave functions and energy spectra is obtained using the conformable fractional extended Nikiforov–Uvarov method. The effect of the conformable fractional formulation is studied on root mean square deviation, and normalized fractional eigen energies of ground state band, [Formula: see text]-band and [Formula: see text]-band of [Formula: see text]Pt, [Formula: see text]Pt and [Formula: see text]Pt atomic nuclei. The [Formula: see text] transition rates are calculated within the fractional domain. We compare our results with the experimental data, the classical Bohr Hamiltonian model with four inverse power terms potential, and other relevant theoretical works. We discuss on how the fractional parameter [Formula: see text] acts on the spectra of triaxial nuclei. The results provided by our new approach are found to be in good agreement with the experimental data and improved compared to previous works.