https://doi.org/10.1140/epjp/s13360-025-06066-w
Regular Article
Electric quadrupole transitions of triaxial nuclei via the Bohr Hamiltonian within the screened Kratzer–Hellmann potential
1
Laboratory of Nuclear, Atomic and Molecular Physics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon
2
Research Centre for Nuclear Science and Technology (RCNST), Institute of Geological and Mining Research, P.O. Box 4110, Yaounde, Cameroon
3
Department of Physics, Faculty of Science, University of Maroua, P.O. Box 814, Maroua, Cameroon
4
Bertoua Higher Teachers’ Training College, Department of Physics, University of Bertoua, P.O. Box 55, Bertoua, Cameroon
Received:
17
November
2024
Accepted:
27
January
2025
Published online:
26
February
2025
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 
Pt and 
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.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
