B$_{4/2}$ anomaly related to the shape coexistence in $^{94}$Zr

P. Buganu; R. Benjedi

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arXiv · 2610.29799

B$_{4/2}$ anomaly related to the shape coexistence in $^{94}$Zr

P. Buganu·R. Benjedi

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Abstract

Solutions of the Bohr-Mottelson Hamiltonian with a sixth-order anharmonic oscillator potential, for both axially-symmetric and $γ$-unstable deformations, are applied to investigate the lowest states of the $^{94}$Zr nucleus. The experimentally observed $B_{4/2}$ anomaly is explained, within the present approach, by the presence of a coexistence between an approximately spherical shape ($2_{1}^{+}$) and an axially-symmetric deformed one ($4_{1}^{+}$). On the other hand, the energies of the $0_{2}^{+}$ and $2_{2}^{+}$ states and their associated electromagnetic transitions fit better a dynamical triaxial deformation configuration ($γ$-unstable). This overall picture of the lowest states in $^{94}$Zr corresponds to a triple shape coexistence scenario.

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P. Buganu, R. Benjedi. 2026-10-21. B$_{4/2}$ anomaly related to the shape coexistence in $^{94}$Zr. https://arxiv.org/abs/2610.29799

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