Levels in ${}^{22}\mathrm{Mg}$ between 4 and 7 MeV excitation energy have been populated in a high-resolution study of the ${}^{24}\mathrm{Mg}{\mathrm{}(p,t)\mathrm{}}^{22}\mathrm{Mg}$ reaction. Two new states have been observed at energies $E_x=5090\mathrm{}$ and 6323 keV, while two states were observed at 5962 and 6046 keV. The precision in measured excitation energies for several other ${}^{22}\mathrm{Mg}$ levels has been improved substantially. In addition, a new state at 8141 keV was observed in ${}^{23}\mathrm{Mg}.$ Using spin and parity restrictions from the present and previous work, we discuss $T=1\mathrm{}$ analog state assignments of $A=22\mathrm{}$ nuclei below 7 MeV excitation energy. The implications for the rate of the stellar reaction ${}^{21}\mathrm{Na}(p,\gamma {)}^{22}\mathrm{Mg}$ which takes part in hydrogen burning during nova outbursts are presented.

• Received 18 August 2000

DOI:https://doi.org/10.1103/PhysRevC.63.035803