Abstract
Strengths of $M1$ transitions depopulating high-lying ${1}^{+}$ states and of subsequent transitions in cascades populating the first excited state were determined on the basis of large-scale shell-model calculations for the nuclide $^{54}\mathrm{Fe}$. The results reveal that the spectra of primary $M1$ transitions from ${1}^{+}$ states as well as the subsequent cascades of $M1$ transitions show an enhancement of strength toward low energy, which is similar to that found for a huge number of transitions between states of a wide spin range as observed in light-ion induced reactions. This allows, in principle, the study of low-energy $M1$ strength using photon scattering. Based on these results, intensities of $M1$ transitions under experimental conditions are estimated.
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