Evidence for a $sup 12$C+$sup 12$C collective band in $sup 24$Mg

Excitation functions of the $sup 12$C($sup 12$C,p)$sup 23$Na and $sup 12$C($sup 12$C,d)$sup 22$Na reactions are studied with high resolution from E/sub cm/($sup 12$C) = 6.75 to 30 MeV using the BNL and ANL tandem Van de Graaff accelerators. The presence of a pronounced and correlated set of resonances near E/sub x/($sup 24$Mg) = 25.2, 28.2, and 33.3 MeV appearing in the E/sub x/ = 9.04 and 9.81 MeV states of $sup 23$Na is revealed. (auth)