Excited states in ${}^{52}\mathrm{Fe}$ have been studied up to spin $10ħ$ in the reaction ${}^{28}\mathrm{Si}{+}^{28}\mathrm{Si}$ at 115 MeV beam energy by using in-beam $\mathrm{<ruby><rb>\gamma </rb><rt>がんま</rt></ruby>}$-ray spectroscopy methods at the GASP array. The excitation energy of the yrast ${10}^{+}$ state is 7.381 MeV, almost 0.5 MeV above the well known ${\mathrm{<ruby><rb>\beta </rb><rt>べーた</rt></ruby>}}^{+}$-decaying yrast ${12}^{+}$ state. Experimental upper limits for the $B\left(E4\mathrm{}\right)\mathrm{}$ transition probabilities from the ${12}^{+}$ isomer to the $8_1^{+}$ and $8_2^{+}$ states have been determined. The mean lifetimes of five excited states have been measured by using the Doppler shift attenuation method. Complete diagonalizations in the $\mathrm{pf}$ major shell lead to very good agreement with the experimental level scheme and transition probabilities. The lifetime, $\log \mathrm{ft}$ value, branching ratios, and $B\left(E4\mathrm{}\right)\mathrm{}$ values are calculated for the ${12}^{+}$ isomer. The positive parity states are also interpreted in terms of a Nilsson projected method. The structure of the yrast levels of ${}^{52}\mathrm{Fe}$ is compared with those of its cross conjugate ${}^{44}\mathrm{Ti}.$

• Received 10 November 1997

DOI:https://doi.org/10.1103/PhysRevC.58.3163