Electric quadrupole transitions of triaxial nuclei via the Bohr Hamiltonian within the screened Kratzer–Hellmann potential

Abstract

This paper proposes an innovative potential model, based on factorization with a screening term. The latter potential offers a rich and versatile framework that encompasses various classical potentials such as Coulomb, Kratzer, Yukawa, Hellmann and screened Kratzer potentials. This generalization makes our model particularly suitable for comprehensive studies of nuclear structure. After the exact separation of the Bohr Hamiltonian equation into its variables, the parametric Nikiforov–Uvarov (NU) method is employed, involving Greene–Aldrich approximation, to calculate the energy eigenvalues and wave functions. The results of the calculations are used to estimate the normalized energies of the low-lying states and the B(E2) transition rates of \(^{192,194,196}\)Pt and \(^{128,130,132}\)Xe isotopes. To assess the reliability of our model on the investigated isotopes, the numerical values of energy spectra and electric quadrupole transition rates are compared to experimental data and other relevant theoretical works. As evidenced by the values of the root mean square, our findings show excellent agreement with experimental data, underscoring the robustness and accuracy of our approach and the significance of the newly introduced potential.