The lowest states of the ${}^{52,54}\mathrm{Cr}$ isotopes are investigated for the presence of the shape coexistence phenomenon. The ground state deformation is extracted using the covariant density functional theory with a density-dependent point-coupling X parametrization, while the properties of the excited states are described involving the Bohr-Mottelson collective Hamiltonian with a sixth order anharmonic oscillator. A coexistence between near-spherical and well-deformed shapes is found in ${}^{52}\mathrm{Cr}$, and shape fluctuations of the ground state in ${}^{54}\mathrm{Cr}$. Moreover, the presence of coexisting shapes in ${}^{52}\mathrm{Cr}$ indicates that the $4^{+}$ state at 2768 keV would fit better the ground band than the $4^{+}$ state at 2370 keV. This latter assumption, in turn, implies that ${}^{52}\mathrm{Cr}$ could be a good candidate for the manifestation of the so-called $B_{4/2}$ anomaly.

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• Collective levels
• Electromagnetic transitions
• Energy levels
• Nuclear shapes and moments
• Nuclear structure & decays
• Collective models
• Models based on symmetries
• Nuclear density functional theory