| R. Budaca1,2
Abstract. This study explores two γ-unstable solutions of the Bohr Hamiltonian for modified square well potentials: an infinite square well (ISW) with an adjustable step and a finite square well (FSW) with energy-dependent depth. The stepped ISW model is shown to be suitable for the description of shape coexistence and mixing phenomena in nuclei, as demonstrated through its application to the 200Po nucleus. The analysis reveals various shape coexistence scenarios, with and without mixing, emerging at different energy states. On the other hand, the energy-dependent FSW model introduces a novel parameter-dependent eigensystem, preserving the algebraic structure of the energy-independent case, while generalizing the E(5) critical dynamical symmetry. Applied to the 128Xe nucleus, this model demonstrates improved agreement with experimental data compared to the E(5) model. Keywords: Collective model, Energy levels, Transition probabilities. DOI 10.56082/annalsarsciphyschem.2026.1.39 1”Horia Hulubei” National Institute for R&D in Physics and Nuclear Engineering, Str. Reactorului 30, RO-077125, POB-MG6 Bucharest-Măgurele, Romania; NOTE: This work was supported by a grant of the Ministry of Research, Innovation and Digitization, CNCS- UEFISCDI, project number PN-IV-P1-PCE-2023-0273, within PNCDI IV
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PUBLISHED in Annals Academy of Romanian Scientists
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