https://doi.org/10.1140/epjp/s13360-025-06278-0
Regular Article
Bohr Hamiltonian with energy-dependent (ED) inverse square potential for 
-unstable nuclei
1
Department of Physics, Science College, University of Liberia, Fendall, Liberia
2
Department of Physics, University of Ilorin, Ilorin, Kwara State, Nigeria
3
ESMaR, Department of Physics, Faculty of Science, Mohammed V University in Rabat, Rabat, Morocco
4
Department of Physics, Taraba State University, Jalingo, Nigeria
Received:
31
January
2025
Accepted:
26
March
2025
Published online:
21
April
2025
In this paper, analytical solutions of Bohr Hamiltonian for -unstable nuclei via energy-dependent (ED) inverse square potential are obtained. A linear ED potential is employed to minimize the 
-fluctuation which occurs during the collective excitation motion of the nuclei. The ED inverse square potential is shown to override the general problem associated with ED and also with the standard version of Bohr Hamiltonian without ED. The present model is well represented by 
Xe isotope chain. For 
Xe and 
Xe spectra fits, standard errors of 
and 
are recorded, respectively, compared to 
and 
from previous studies using inverse square potential without ED. Within the framework of Bohr Hamiltonian for -unstable nuclei, these results indicate that the present ED model can serve as a corrective approach to previous work using inverse square potential without energy dependence.
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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.
