Low-spin states were studied in ${}^{30}\mathrm{Al}$ following the β decay of ${}^{30}\mathrm{Mg}$ produced in the fragmentation of 140-MeV/AMU ${}^{48}\mathrm{Ca}$. Analysis of the $\beta \text{−}\gamma$ and $\beta \text{−}\gamma \text{−}\gamma$ coincidences revealed a new $1^{+}$ state at 2413 keV, confirmation of the level scheme, and a more accurate half-life measurement of 315(6) ms for the ${}^{30}\mathrm{Mg}$ ground state. Higher-spin states were investigated in the reaction of ${}^{14}\mathrm{C}$ on ${}^{18}\mathrm{O}$ at 22 MeV. Protons and deuterons were detected in a segmented E-ΔE Si telescope in coincidence with one or two γ rays in the FSU Ge detector array. A comparison of the resulting level and decay scheme with predictions of the $\mathit{sd}$ shell model shows good agreement with all but six of the states in both excitation energy and γ-decay branching ratios. The root-mean-square deviations in energy of these states using the older USD and newer USDA and USDB interactions were 265, 176, and 173 keV, respectively. The remaining six states are well described as $4^{-}$ to $7^{-}$ states, similar in relative energy to those in ${}^{28}\mathrm{Al}$ but shifted down by about 1200 keV. These states also agree well with the predictions of shell-model calculations using the WBP interaction. A comparison of the lowest $4^{-}$ states in even A Na, Al, and P isotopes shows a systematic decrease in energy with increasing N and with decreasing Z. The energies of the $4^{-}$ states are almost identical in nuclei with the same $N\text{−}Z$ values.

• Received 17 September 2007

DOI:https://doi.org/10.1103/PhysRevC.77.034305